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1

Repulsion effects on boundedness in a quasilinear attraction-repulsion chemotaxis model in higher dimensions

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 5, Pages : 45 - 45, 2017

Hai-Yang Jin - (email), Tian Xiang - (email)

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2

Eventual smoothness and asymptotic behaviour of solutions to a chemotaxis system perturbed by a logistic growth

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 5, Pages : 47 - 47, 2017

Giuseppe Viglialoro - (email), Thomas E. Woolley - (email)

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3

Qualitative analysis on positive steady-states for an autocatalytic reaction model in thermodynamics

Discrete and Continuous Dynamical Systems  Volume 37, Issue 9, Pages : 4785 - 4813, 2017

Yunfeng Jia - (email), Yi Li - (email), Jianhua Wu - (email)

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4

Boundedness in logistic Keller--Segel models with nonlinear diffusion and sensitivity functions

Discrete and Continuous Dynamical Systems  Volume 37, Issue 9, Pages : 5021 - 5036, 2017

Qi Wang - (email), Jingyue Yang - (email), Feng Yu - (email)

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5

Stability analysis of a model on varying domain with the Robin boundary condition

Discrete and Continuous Dynamical Systems - Series S  Volume 10, Issue 5, Pages : 935 - 942, 2017

Xiaofei Cao - (email), Guowei Dai - (email)

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6

Mathematical modeling about nonlinear delayed hydraulic cylinder system and its analysis on dynamical behaviors

Discrete and Continuous Dynamical Systems - Series S  Volume 10, Issue 5, Pages : 943 - 958, 2017

Yuting Ding - (email), Jinli Xu - (email), Jun Cao - (email), Dongyan Zhang - (email)

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7

Pattern dynamics of a delayed eco-epidemiological model with disease in the predator

Discrete and Continuous Dynamical Systems - Series S  Volume 10, Issue 5, Pages : 1025 - 1042, 2017

Jing Li - (email), Zhen Jin - (email), Gui-Quan Sun - (email), Li-Peng Song - (email)

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8

Pattern formation of a coupled two-cell Schnakenberg model

Discrete and Continuous Dynamical Systems - Series S  Volume 10, Issue 5, Pages : 1051 - 1062, 2017

Guanqi Liu - (email), Yuwen Wang - (email)

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9

Stability and bifurcation analysis in a chemotaxis bistable growth system

Discrete and Continuous Dynamical Systems - Series S  Volume 10, Issue 5, Pages : 1165 - 1174, 2017

Shubo Zhao - (email), Ping Liu - (email), Mingchao Jiang - (email)

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10

A bacteriophage model based on CRISPR/Cas immune system in a chemostat

Mathematical Biosciences and Engineering  Volume 14, Issue 5/6, Pages : 1361 - 1377, 2017

Mengshi Shu - (email), Rui Fu - (email), Wendi Wang - (email)

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11

Transition of interaction outcomes in a facilitation-competition system of two species

Mathematical Biosciences and Engineering  Volume 14, Issue 5/6, Pages : 1463 - 1475, 2017

Yuanshi Wang - (email), Hong Wu - (email)

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12

Stability of ground states for logarithmic Schrödinger equation with a $\delta^{'}$-interaction

Evolution Equations and Control Theory  Volume 6, Issue 2, Pages : 155 - 175, 2017

Alex H. Ardila - (email)

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13

Positive solutions to the unstirred chemostat model with Crowley-Martin functional response

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 5, Pages : 8 - 8, 2017

Hai-Xia Li - (email), Jian-Hua Wu - (email), Yan-Ling Li - (email), Chun-An Liu - (email)

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14

Boundedness in a two-species chemotaxis parabolic system with two chemicals

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 7, Pages : 2717 - 2729, 2017

Xie Li - (email), Yilong Wang - (email)

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15

Emergence of large population densities despite logistic growth restrictions in fully parabolic chemotaxis systems

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 7, Pages : 2777 - 2793, 2017

Michael Winkler - (email)

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16

Large time behavior in the logistic Keller-Segel model via maximal Sobolev regularity

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 9, Pages : 3369 - 3378, 2017

Xinru Cao - (email)

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17

Global boundedness in higher dimensions for a fully parabolic chemotaxis system with singular sensitivity

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 5, Pages : 27 - 27, 2017

Wei Wang - (email), Yan Li - (email), Hao Yu - (email)

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18

Analysis of a Cahn--Hilliard system with non-zero Dirichlet conditions modeling tumor growth with chemotaxis

Discrete and Continuous Dynamical Systems  Volume 37, Issue 8, Pages : 4277 - 4308, 2017

Harald Garcke - (email), Kei Fong Lam - (email)

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19

Convergence of global and bounded solutions of a two-species chemotaxis model with a logistic source

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 6, Pages : 2233 - 2260, 2017

Ke Lin - (email), Chunlai Mu - (email)

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20

Boundedness and asymptotic stability in a two-species chemotaxis-competition model with signal-dependent sensitivity

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 6, Pages : 2301 - 2319, 2017

Masaaki Mizukami - (email)

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21

Morse indices and symmetry breaking for the Gelfand equation in expanding annuli

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 4, Pages : 1509 - 1523, 2017

Linfeng Mei - (email), Zongming Guo - (email)

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22

Traveling fronts bifurcating from stable layers in the presence of conservation laws

Discrete and Continuous Dynamical Systems  Volume 37, Issue 5, Pages : 2619 - 2651, 2017

Alin Pogan - (email), Arnd Scheel - (email)

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23

Boundary layer analysis from the Keller-Segel system to the aggregation system in one space dimension

Communications on Pure and Applied Analysis  Volume 16, Issue 3, Pages : 1013 - 1036, 2017

Jiahang Che - (email), Li Chen - (email), Simone Göttlich - (email), Anamika Pandey - (email), Jing Wang - (email)

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24

A competition model with dynamically allocated toxin production in the unstirred chemostat

Communications on Pure and Applied Analysis  Volume 16, Issue 4, Pages : 1373 - 1404, 2017

Hua Nie - (email), Sze-Bi Hsu - (email), Jianhua Wu - (email)

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25

Effect of harvesting quota and protection zone in a reaction-diffusion model arising from fishery management

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 3, Pages : 791 - 807, 2017

Renhao Cui - (email), Haomiao Li - (email), Linfeng Mei - (email), Junping Shi - (email)

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26

Uniform $L^{\infty}$ boundedness for a degenerate parabolic-parabolic Keller-Segel model

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 2, Pages : 307 - 338, 2016

Wenting Cong - (email), Jian-Guo Liu - (email)

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27

Critical mass of degenerate Keller-Segel system with no-flux and Neumann boundary conditions

Discrete and Continuous Dynamical Systems  Volume 37, Issue 3, Pages : 1603 - 1630, 2016

Yoshifumi Mimura - (email)

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28

On a linear runs and tumbles equation

Kinetic and Related Models  Volume 10, Issue 3, Pages : 799 - 822, 2016

Stéphane Mischler - (email), Qilong Weng - (email)

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29

Boundedness and large time behavior of an attraction-repulsion chemotaxis model with logistic source

Kinetic and Related Models  Volume 10, Issue 3, Pages : 855 - 878, 2016

Shijie Shi - (email), Zhengrong Liu - (email), Hai-Yang Jin - (email)

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30

Local criteria for blowup in two-dimensional chemotaxis models

Discrete and Continuous Dynamical Systems  Volume 37, Issue 4, Pages : 1841 - 1856, 2016

Piotr Biler - (email), Tomasz Cieślak - (email), Grzegorz Karch - (email), Jacek Zienkiewicz - (email)

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31

Stationary and time--periodic patterns of two--predator and one--prey systems with prey--taxis

Discrete and Continuous Dynamical Systems  Volume 37, Issue 1, Pages : 505 - 543, 2016

Ke Wang - (email), Qi Wang - (email), Feng Yu - (email)

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32

Direct approach to detect the heteroclinic bifurcation of the planar nonlinear system

Discrete and Continuous Dynamical Systems  Volume 37, Issue 1, Pages : 591 - 604, 2016

Ling-Hao Zhang - (email), Wei Wang - (email)

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33

On interfaces between cell populations with different mobilities

Kinetic and Related Models  Volume 10, Issue 1, Pages : 299 - 311, 2016

Tommaso Lorenzi - (email), Alexander Lorz - (email), Benoît Perthame - (email)

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34

Aggregated steady states of a kinetic model for chemotaxis

Kinetic and Related Models  Volume 10, Issue 1, Pages : 313 - 327, 2016

Anne Nouri - (email), Christian Schmeiser - (email)

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35

Error estimates of the aggregation-diffusion splitting algorithms for the Keller-Segel equations

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 10, Pages : 3463 - 3478, 2016

Hui Huang - (email), Jian-Guo Liu - (email)

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36

Stable patterns with jump discontinuity in systems with Turing instability and hysteresis

Discrete and Continuous Dynamical Systems  Volume 37, Issue 2, Pages : 757 - 800, 2016

Steffen Härting - (email), Anna Marciniak-Czochra - (email), Izumi Takagi - (email)

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37

Shadow system approach to a plankton model generating harmful algal bloom

Discrete and Continuous Dynamical Systems  Volume 37, Issue 2, Pages : 829 - 858, 2016

Hideo Ikeda - (email), Masayasu Mimura - (email), Tommaso Scotti - (email)

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38

Computer-assisted equilibrium validation for the diblock copolymer model

Discrete and Continuous Dynamical Systems  Volume 37, Issue 2, Pages : 1075 - 1107, 2016

Thomas Wanner - (email)

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39

Dynamics of spike in a Keller-Segel's minimal chemotaxis model

Discrete and Continuous Dynamical Systems  Volume 37, Issue 2, Pages : 1109 - 1127, 2016

Yajing Zhang - (email), Xinfu Chen - (email), Jianghao Hao - (email), Xin Lai - (email), Cong Qin - (email)

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40

Emergence of spatial patterns in a mathematical model for the co-culture dynamics of epithelial-like and mesenchymal-like cells

Mathematical Biosciences and Engineering  Volume 14, Issue 1, Pages : 79 - 93, 2016

Marcello Delitala - (email), Tommaso Lorenzi - (email)

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41

A degenerate $p$-Laplacian Keller-Segel model

Kinetic and Related Models  Volume 9, Issue 4, Pages : 687 - 714, 2016

Wenting Cong - (email), Jian-Guo Liu - (email)

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42

On the Bonheure-Noris-Weth conjecture in the case of linearly bounded nonlinearities

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 8, Pages : 2649 - 2662, 2016

Ruyun Ma - (email), Tianlan Chen - (email), Yanqiong Lu - (email)

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43

Complex dynamics of a nutrient-plankton system with nonlinear phytoplankton mortality and allelopathy

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 8, Pages : 2703 - 2728, 2016

Zhipeng Qiu - (email), Huaiping Zhu - (email)

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44

Bifurcation and one-sign solutions of the $p$-Laplacian involving a nonlinearity with zeros

Discrete and Continuous Dynamical Systems  Volume 36, Issue 10, Pages : 5323 - 5345, 2016

Guowei Dai - (email)

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45

Bifurcation of rotating patches from Kirchhoff vortices

Discrete and Continuous Dynamical Systems  Volume 36, Issue 10, Pages : 5401 - 5422, 2016

Taoufik Hmidi - (email), Joan Mateu - (email)

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46

Exact multiplicity of stationary limiting problems of a cell polarization model

Discrete and Continuous Dynamical Systems  Volume 36, Issue 10, Pages : 5627 - 5655, 2016

Tatsuki Mori - (email), Kousuke Kuto - (email), Tohru Tsujikawa - (email), Shoji Yotsutani - (email)

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47

A model of infectious salmon anemia virus with viral diffusion between wild and farmed patches

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 6, Pages : 1869 - 1893, 2016

Evan Milliken - (email), Sergei S. Pilyugin - (email)

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48

Boundedness in a quasilinear 2D parabolic-parabolic attraction-repulsion chemotaxis system

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 6, Pages : 1953 - 1973, 2016

Yilong Wang - (email), Zhaoyin Xiang - (email)

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49

Global dynamics in a fully parabolic chemotaxis system with logistic source

Discrete and Continuous Dynamical Systems  Volume 36, Issue 9, Pages : 5025 - 5046, 2016

Ke Lin - (email), Chunlai Mu - (email)

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50

Morrey spaces norms and criteria for blowup in chemotaxis models

Networks and Heterogeneous Media  Volume 11, Issue 2, Pages : 239 - 250, 2016

Piotr Biler - (email), Grzegorz Karch - (email), Jacek Zienkiewicz - (email)

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51

Can the 'stick-slip' phenomenon be explained by a bifurcation in the steady sliding frictional contact problem?

Discrete and Continuous Dynamical Systems - Series S  Volume 9, Issue 2, Pages : 363 - 381, 2016

Patrick Ballard - (email)

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52

Cellular instabilities analyzed by multi-scale Fourier series: A review

Discrete and Continuous Dynamical Systems - Series S  Volume 9, Issue 2, Pages : 585 - 597, 2016

Michel Potier-Ferry - (email), Foudil Mohri - (email), Fan Xu - (email), Noureddine Damil - (email), Bouazza Braikat - (email), Khadija Mhada - (email), Heng Hu - (email), Qun Huang - (email), Saeid Nezamabadi - (email)

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53

Global boundedness of solutions to a Keller-Segel system with nonlinear sensitivity

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 4, Pages : 1317 - 1327, 2016

Hao Yu - (email), Wei Wang - (email), Sining Zheng - (email)

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54

Errata: Evolutionary dynamics of a multi-trait semelparous model

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 3, Pages : 1023 - 1026, 2016

Amy Veprauskas - (email), J. M. Cushing - (email)

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55

Global boundedness versus finite-time blow-up of solutions to a quasilinear fully parabolic Keller-Segel system of two species

Communications on Pure and Applied Analysis  Volume 15, Issue 1, Pages : 243 - 260, 2015

Miaoqing Tian - (email), Sining Zheng - (email)

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56

Global existence and boundedness in a parabolic-elliptic Keller-Segel system with general sensitivity

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 1, Pages : 81 - 102, 2015

Kentarou Fujie - (email), Takasi Senba - (email)

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57

The Nehari solutions and asymmetric minimizers

DCDS Supplements  Volume 2015, Issue special, Pages : 562 - 568, 2015

Armands Gritsans - (email), Felix Sadyrbaev - (email)

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58

Lower bounds for blow-up in a parabolic-parabolic Keller-Segel system

DCDS Supplements  Volume 2015, Issue special, Pages : 809 - 816, 2015

Monica Marras - (email), Stella Vernier Piro - (email), Giuseppe Viglialoro - (email)

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59

Existence of solutions to chemotaxis dynamics with logistic source

DCDS Supplements  Volume 2015, Issue special, Pages : 1125 - 1133, 2015

Tomomi Yokota - (email), Noriaki Yoshino - (email)

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60

Evolutionary dynamics of a multi-trait semelparous model

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 2, Pages : 655 - 676, 2015

Amy Veprauskas - (email), J. M. Cushing - (email)

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61

On a two-patch predator-prey model with adaptive habitancy of predators

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 2, Pages : 677 - 697, 2015

Xiaoying Wang - (email), Xingfu Zou - (email)

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62

Dynamics and bifurcations on a class of population model with seasonal constant-yield harvesting

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 2, Pages : 699 - 719, 2015

Dongmei Xiao - (email)

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63

Boundedness vs.blow-up in a two-species chemotaxis system with two chemicals

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 9, Pages : 3165 - 3183, 2015

Youshan Tao - (email), Michael Winkler - (email)

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64

Global classical solutions of a 3D chemotaxis-Stokes system with rotation

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 9, Pages : 3235 - 3254, 2015

Yulan Wang - (email), Xinru Cao - (email)

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65

Large global-in-time solutions of the parabolic-parabolic Keller-Segel system on the plane

Communications on Pure and Applied Analysis  Volume 14, Issue 6, Pages : 2117 - 2126, 2015

Piotr Biler - (email), Ignacio Guerra - (email), Grzegorz Karch - (email)

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66

Nonlinear Neumann problems with indefinite potential and concave terms

Communications on Pure and Applied Analysis  Volume 14, Issue 6, Pages : 2561 - 2616, 2015

Shouchuan Hu - (email), Nikolaos S. Papageorgiou - (email)

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67

Existence, uniqueness, and stability of bubble solutions of a chemotaxis model

Discrete and Continuous Dynamical Systems  Volume 36, Issue 2, Pages : 805 - 832, 2015

Xin Lai - (email), Xinfu Chen - (email), Mingxin Wang - (email), Cong Qin - (email), Yajing Zhang - (email)

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68

Existence of intermediate weak solution to the equations of multi-dimensional chemotaxis systems

Discrete and Continuous Dynamical Systems  Volume 36, Issue 2, Pages : 861 - 875, 2015

Tong Li - (email), Anthony Suen - (email)

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69

Parabolic elliptic type Keller-Segel system on the whole space case

Discrete and Continuous Dynamical Systems  Volume 36, Issue 2, Pages : 1061 - 1084, 2015

Jinhuan Wang - (email), Li Chen - (email), Liang Hong - (email)

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70

Particle approximation of the one dimensional Keller-Segel equation, stability and rigidity of the blow-up

Discrete and Continuous Dynamical Systems  Volume 36, Issue 3, Pages : 1175 - 1208, 2015

Vincent Calvez - (email), Thomas O. Gallouët - (email)

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71

Reduced model from a reaction-diffusion system of collective motion of camphor boats

Discrete and Continuous Dynamical Systems - Series S  Volume 8, Issue 5, Pages : 847 - 856, 2015

Shin-Ichiro Ei - (email), Kota Ikeda - (email), Masaharu Nagayama - (email), Akiyasu Tomoeda - (email)

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72

Chaos in a model for masting

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 7, Pages : 1917 - 1932, 2015

Kaijen Cheng - (email), Kenneth Palmer - (email)

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73

Protection zone in a modified Lotka-Volterra model

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 7, Pages : 2027 - 2038, 2015

Xiao He - (email), Sining Zheng - (email)

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74

Confinement by biased velocity jumps: Aggregation of escherichia coli

Kinetic and Related Models  Volume 8, Issue 4, Pages : 651 - 666, 2015

Vincent Calvez - (email), Gaël Raoul - (email), Christian Schmeiser - (email)

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75

A free boundary problem for a class of parabolic type chemotaxis model

Kinetic and Related Models  Volume 8, Issue 4, Pages : 667 - 684, 2015

Hua Chen - (email), Wenbin Lv - (email), Shaohua Wu - (email)

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76

Partial differential equations with Robin boundary condition in online social networks

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 6, Pages : 1609 - 1624, 2015

Guowei Dai - (email), Ruyun Ma - (email), Haiyan Wang - (email), Feng Wang - (email), Kuai Xu - (email)

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77

Discrete time dynamic oligopolies with adjustment constraints

Journal of Dynamics and Games  Volume 2, Issue 1, Pages : 65 - 87, 2015

Chrystie Burr - (email), Laura Gardini - (email), Ferenc Szidarovszky - (email)

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78

Stabilization in a chemotaxis model for tumor invasion

Discrete and Continuous Dynamical Systems  Volume 36, Issue 1, Pages : 151 - 169, 2015

Kentarou Fujie - (email), Akio Ito - (email), Michael Winkler - (email), Tomomi Yokota - (email)

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79

Chemotaxis can prevent thresholds on population density

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 5, Pages : 1499 - 1527, 2015

Johannes Lankeit - (email)

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80

Remarks on pattern formation in a model for hair follicle spacing

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 5, Pages : 1555 - 1572, 2015

Peter Rashkov - (email)

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81

Global dynamics on a circular domain of a diffusion predator-prey model with modified Leslie-Gower and Beddington-DeAngelis functional type

Evolution Equations and Control Theory  Volume 4, Issue 2, Pages : 115 - 129, 2015

Walid Abid - (email), Radouane Yafia - (email), M.A. Aziz-Alaoui - (email), Habib Bouhafa - (email), Azgal Abichou - (email)

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82

Chaos in a model for masting

Evolution Equations and Control Theory  Volume 4, Issue 2, Pages : null - null, 2015

Kaijen Cheng - (email), Kenneth Palmer - (email)

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83

Traveling bands for the Keller-Segel model with population growth

Mathematical Biosciences and Engineering  Volume 12, Issue 4, Pages : 717 - 737, 2015

Shangbing Ai - (email), Zhian Wang - (email)

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84

Regions of stability for a linear differential equation with two rationally dependent delays

Discrete and Continuous Dynamical Systems  Volume 35, Issue 10, Pages : 4955 - 4986, 2015

Joseph M. Mahaffy - (email), Timothy C. Busken - (email)

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85

Essential perturbations of polynomial vector fields with a period annulus

Communications on Pure and Applied Analysis  Volume 14, Issue 3, Pages : 1073 - 1095, 2015

Adriana Buică - (email), Jaume Giné - (email), Maite Grau - (email)

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86

Existence and diffusive limit of a two-species kinetic model of chemotaxis

Kinetic and Related Models  Volume 8, Issue 2, Pages : 359 - 380, 2015

Casimir Emako - (email), Luís Neves de Almeida - (email), Nicolas Vauchelet - (email)

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87

Boundary spikes of a Keller-Segel chemotaxis system with saturated logarithmic sensitivity

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 4, Pages : 1231 - 1250, 2015

Qi Wang - (email)

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88

Global existence and boundedness for chemotaxis-Navier-Stokes systems with position-dependent sensitivity in 2D bounded domains

Discrete and Continuous Dynamical Systems  Volume 35, Issue 8, Pages : 3463 - 3482, 2015

Sachiko Ishida - (email)

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89

Chaos control in a pendulum system with excitations

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 2, Pages : 373 - 383, 2015

Xianwei Chen - (email), Zhujun Jing - (email), Xiangling Fu - (email)

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90

Dynamical complexity of a prey-predator model with nonlinear predator harvesting

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 2, Pages : 423 - 443, 2015

R. P. Gupta - (email), Peeyush Chandra - (email), Malay Banerjee - (email)

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91

The mean-square dichotomy spectrum and a bifurcation to a mean-square attractor

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 3, Pages : 875 - 887, 2015

Thai Son Doan - (email), Martin Rasmussen - (email), Peter E. Kloeden - (email)

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92

Oscillations of many interfaces in the near-shadow regime of two-component reaction-diffusion systems

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 3, Pages : 959 - 975, 2015

Shuangquan Xie - (email), Theodore Kolokolnikov - (email)

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93

Global solutions of a Keller--Segel system with saturated logarithmic sensitivity function

Communications on Pure and Applied Analysis  Volume 14, Issue 2, Pages : 383 - 396, 2014

Qi Wang - (email)

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94

Instability of multi-spot patterns in shadow systems of reaction-diffusion equations

Communications on Pure and Applied Analysis  Volume 14, Issue 2, Pages : 717 - 736, 2014

Shin-Ichiro Ei - (email), Kota Ikeda - (email), Eiji Yanagida - (email)

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95

Delayed population models with Allee effects and exploitation

Mathematical Biosciences and Engineering  Volume 12, Issue 1, Pages : 83 - 97, 2014

Eduardo Liz - (email), Alfonso Ruiz-Herrera - (email)

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96

Global bounded solutions of the higher-dimensional Keller-Segel system under smallness conditions in optimal spaces

Discrete and Continuous Dynamical Systems  Volume 35, Issue 5, Pages : 1891 - 1904, 2014

Xinru Cao - (email)

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97

Boundedness and blow-up for a chemotaxis system with generalized volume-filling effect and logistic source

Discrete and Continuous Dynamical Systems  Volume 35, Issue 5, Pages : 2299 - 2323, 2014

Pan Zheng - (email), Chunlai Mu - (email), Xuegang Hu - (email)

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98

Spatial pattern of discrete and ultradiscrete Gray-Scott model

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 1, Pages : 173 - 187, 2014

Keisuke Matsuya - (email), Mikio Murata - (email)

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99

On a multiscale model involving cell contractivity and its effects on tumor invasion

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 1, Pages : 189 - 213, 2014

Gülnihal Meral - (email), Christian Stinner - (email), Christina Surulescu - (email)

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100

Qualitative analysis of a Lotka-Volterra competition system with advection

Discrete and Continuous Dynamical Systems  Volume 35, Issue 3, Pages : 1239 - 1284, 2014

Qi Wang - (email), Chunyi Gai - (email), Jingda Yan - (email)

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101

Stochastically perturbed sliding motion in piecewise-smooth systems

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 9, Pages : 2889 - 2913, 2014

D. J. W. Simpson - (email), R. Kuske - (email)

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102

On the steady state of a shadow system to the SKT competition model

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 9, Pages : 2941 - 2961, 2014

Qi Wang - (email)

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103

Spatiotemporal complexity in a predator--prey model with weak Allee effects

Mathematical Biosciences and Engineering  Volume 11, Issue 6, Pages : 1247 - 1274, 2014

Yongli Cai - (email), Malay Banerjee - (email), Yun Kang - (email), Weiming Wang - (email)

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104

Bifurcation values for a family of planar vector fields of degree five

Discrete and Continuous Dynamical Systems  Volume 35, Issue 2, Pages : 669 - 701, 2014

Johanna D. García-Saldaña - (email), Armengol Gasull - (email), Hector Giacomini - (email)

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105

Pattern formation and dynamic transition for magnetohydrodynamic convection

Communications on Pure and Applied Analysis  Volume 13, Issue 6, Pages : 2609 - 2639, 2014

Taylan Sengul - (email), Shouhong Wang - (email)

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106

On a Keller-Segel system with logarithmic sensitivity and non-diffusive chemical

Discrete and Continuous Dynamical Systems  Volume 34, Issue 12, Pages : 5165 - 5179, 2014

Jaewook Ahn - (email), Kyungkeun Kang - (email)

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107

The existence and stability of nontrivial steady states for S-K-T competition model with cross diffusion

Discrete and Continuous Dynamical Systems  Volume 34, Issue 12, Pages : 5271 - 5298, 2014

Wei-Ming Ni - (email), Yaping Wu - (email), Qian Xu - (email)

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108

Duffing-van der Pol-type oscillator systems

Discrete and Continuous Dynamical Systems - Series S  Volume 7, Issue 6, Pages : 1231 - 1257, 2014

Zhaosheng Feng - (email)

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109

Stoichiometric producer-grazer models with varying nitrogen pools and ammonia toxicity

Discrete and Continuous Dynamical Systems - Series S  Volume 7, Issue 6, Pages : 1305 - 1320, 2014

Hao Liu - (email), Aaron Packer - (email), Yang Kuang - (email)

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110

On bursting solutions near chaotic regimes in a neuron model

Discrete and Continuous Dynamical Systems - Series S  Volume 7, Issue 6, Pages : 1363 - 1383, 2014

Feng Zhang - (email), Alice Lubbe - (email), Qishao Lu - (email), Jianzhong Su - (email)

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111

Exact wavefronts and periodic patterns in a competition system with nonlinear diffusion

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 6, Pages : 1589 - 1600, 2014

M. Guedda - (email), R. Kersner - (email), M. Klincsik - (email), E. Logak - (email)

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112

Quadratic perturbations of a quadratic reversible Lotka-Volterra system with two centers

Discrete and Continuous Dynamical Systems  Volume 34, Issue 11, Pages : 4807 - 4826, 2014

Linping Peng - (email), Zhaosheng Feng - (email), Changjian Liu - (email)

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113

On effects of sampling radius for the nonlocal Patlak-Keller-Segel chemotaxis model

Discrete and Continuous Dynamical Systems  Volume 34, Issue 11, Pages : 4911 - 4946, 2014

Tian Xiang - (email)

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114

Preface to special issue on mathematics of social systems

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 5, Pages : i - v, 2014

Andrea L. Bertozzi - (email)

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115

Two-species particle aggregation and stability of co-dimension one solutions

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 5, Pages : 1411 - 1436, 2014

Alan Mackey - (email), Theodore Kolokolnikov - (email), Andrea L. Bertozzi - (email)

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116

On a diffusive predator-prey model with nonlinear harvesting

Mathematical Biosciences and Engineering  Volume 11, Issue 4, Pages : 807 - 821, 2014

Peng Feng - (email)

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117

Global Hopf branches and multiple limit cycles in a delayed Lotka-Volterra predator-prey model

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 3, Pages : 747 - 760, 2014

Michael Y. Li - (email), Xihui Lin - (email), Hao Wang - (email)

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118

Pattern formation in 2D traffic flows

Discrete and Continuous Dynamical Systems - Series S  Volume 7, Issue 3, Pages : 395 - 409, 2014

Julien Cividini - (email)

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119

Development of traveling waves in an interacting two-species chemotaxis model

Discrete and Continuous Dynamical Systems  Volume 34, Issue 7, Pages : 2907 - 2927, 2013

Tai-Chia Lin - (email), Zhi-An Wang - (email)

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120

Ultra-contractivity for Keller-Segel model with diffusion exponent $m>1-2/d$

Kinetic and Related Models  Volume 7, Issue 1, Pages : 9 - 28, 2013

Shen Bian - (email), Jian-Guo Liu - (email), Chen Zou - (email)

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121

A simple epidemiological model for populations in the wild with Allee effects and disease-modified fitness

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 1, Pages : 89 - 130, 2013

Yun Kang - (email), Carlos Castillo-Chávez - (email)

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122

Wellposedness and regularity for a degenerate parabolic equation arising in a model of chemotaxis with nonlinear sensitivity

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 1, Pages : 231 - 256, 2013

Alexandre Montaru - (email)

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123

Bifurcation to positive solutions in BVPs of logistic type with nonlinear indefinite mixed boundary conditions

DCDS Supplements  Volume 2013, Issue special, Pages : 95 - 104, 2013

Santiago Cano-Casanova - (email)

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124

Bifurcation structure of steady-states for bistable equations with nonlocal constraint

DCDS Supplements  Volume 2013, Issue special, Pages : 467 - 476, 2013

Kousuke Kuto - (email), Tohru Tsujikawa - (email)

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125

Analysis of a mathematical model for jellyfish blooms and the cambric fish invasion

DCDS Supplements  Volume 2013, Issue special, Pages : 663 - 672, 2013

Florian Rupp - (email), Jürgen Scheurle - (email)

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126

Uniqueness for Keller-Segel-type chemotaxis models

Discrete and Continuous Dynamical Systems  Volume 34, Issue 4, Pages : 1319 - 1338, 2013

José Antonio Carrillo - (email), Stefano Lisini - (email), Edoardo Mainini - (email)

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127

Reaction-diffusion-advection models for the effects and evolution of dispersal

Discrete and Continuous Dynamical Systems  Volume 34, Issue 5, Pages : 1701 - 1745, 2013

Chris Cosner - (email)

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128

Trudinger-Moser type inequality for radially symmetric functions in a ring and applications to Keller-Segel in a ring

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 10, Pages : 2505 - 2512, 2013

Tomasz Cieślak - (email)

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129

Global solutions and exponential attractors of a parabolic-parabolic system for chemotaxis with subquadratic degradation

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 10, Pages : 2627 - 2646, 2013

Etsushi Nakaguchi - (email), Koichi Osaki - (email)

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130

Numerical simulation of chemotaxis models on stationary surfaces

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 10, Pages : 2689 - 2704, 2013

Andriy Sokolov - (email), Robert Strehl - (email), Stefan Turek - (email)

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131

Global dynamics in a higher-dimensional repulsion chemotaxis model with nonlinear sensitivity

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 10, Pages : 2705 - 2722, 2013

Youshan Tao - (email)

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132

A study on the positive nonconstant steady states of nonlocal chemotaxis systems

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 9, Pages : 2457 - 2485, 2013

Tian Xiang - (email)

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133

Boundedness in a parabolic-parabolic quasilinear chemotaxis system with logistic source

Discrete and Continuous Dynamical Systems  Volume 34, Issue 2, Pages : 789 - 802, 2013

Liangchen Wang - (email), Yuhuan Li - (email), Chunlai Mu - (email)

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134

A nonlinear diffusion problem arising in population genetics

Discrete and Continuous Dynamical Systems  Volume 34, Issue 2, Pages : 821 - 841, 2013

Peng Zhou - (email), Jiang Yu - (email), Dongmei Xiao - (email)

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135

Different types of backward bifurcations due to density-dependent treatments

Mathematical Biosciences and Engineering  Volume 10, Issue 5/6, Pages : 1651 - 1668, 2013

Baojun Song - (email), Wen Du - (email), Jie Lou - (email)

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136

Brownian point vortices and dd-model

Discrete and Continuous Dynamical Systems - Series S  Volume 7, Issue 1, Pages : 161 - 176, 2013

Takashi Suzuki - (email)

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137

Blow-up dynamics of self-attracting diffusive particles driven by competing convexities

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 8, Pages : 2029 - 2050, 2013

Vincent Calvez - (email), Lucilla Corrias - (email)

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138

Darwinian dynamics of a juvenile-adult model

Mathematical Biosciences and Engineering  Volume 10, Issue 4, Pages : 1017 - 1044, 2013

J. M. Cushing - (email), Simon Maccracken Stump - (email)

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139

Analysis of a degenerate biofilm model with a nutrient taxis term

Discrete and Continuous Dynamical Systems  Volume 34, Issue 1, Pages : 99 - 119, 2013

Hermann J. Eberl - (email), Messoud A. Efendiev - (email), Dariusz Wrzosek - (email), Anna Zhigun - (email)

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140

Global dynamics and diffusion limit of a one-dimensional repulsive chemotaxis model

Communications on Pure and Applied Analysis  Volume 12, Issue 6, Pages : 3027 - 3046, 2013

Zhi-An Wang - (email), Kun Zhao - (email)

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141

Blowup threshold and collapse mass separation for a drift-diffusion system in space-dimension two

Communications on Pure and Applied Analysis  Volume 12, Issue 6, Pages : 2627 - 2644, 2013

Elio E. Espejo - (email), Masaki Kurokiba - (email), Takashi Suzuki - (email)

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142

A spatialized model of visual texture perception using the structure tensor formalism

Networks and Heterogeneous Media  Volume 8, Issue 1, Pages : 211 - 260, 2013

Grégory Faye - (email), Pascal Chossat - (email)

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143

Pattern forming instabilities driven by non-diffusive interactions

Networks and Heterogeneous Media  Volume 8, Issue 1, Pages : 397 - 432, 2013

Ivano Primi - (email), Angela Stevens - (email), Juan J. L. Velázquez - (email)

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144

Modeling bacterial attachment to surfaces as an early stage of biofilm development

Mathematical Biosciences and Engineering  Volume 10, Issue 3, Pages : 821 - 842, 2013

Fadoua El Moustaid - (email), Amina Eladdadi - (email), Lafras Uys - (email)

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145

Modeling chemotaxis from $L^2$--closure moments in kinetic theory of active particles

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 4, Pages : 847 - 863, 2013

Nicola Bellomo - (email), Abdelghani Bellouquid - (email), Juanjo Nieto - (email), Juan Soler - (email)

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146

Bifurcation of isolated closed orbits from degenerated singularity in $\mathbb{R}^{3}$

Discrete and Continuous Dynamical Systems  Volume 33, Issue 7, Pages : 2861 - 2883, 2013

Jianfeng Huang - (email), Yulin Zhao - (email)

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147

Uniqueness of limit cycles and multiple attractors in a Gause-type predator-prey model with nonmonotonic functional response and Allee effect on prey

Mathematical Biosciences and Engineering  Volume 10, Issue 2, Pages : 345 - 367, 2013

Eduardo González-Olivares - (email), Betsabé González-Yañez - (email), Jaime Mena-Lorca - (email), José D. Flores - (email)

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148

An infinite dimensional bifurcation problem with application to a class of functional differential equations of neutral type

Communications on Pure and Applied Analysis  Volume 12, Issue 5, Pages : 1845 - 1859, 2013

Jean-François Couchouron - (email), Mikhail Kamenskii - (email), Paolo Nistri - (email)

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149

Bounded and unbounded oscillating solutions to a parabolic-elliptic system in two dimensional space

Communications on Pure and Applied Analysis  Volume 12, Issue 5, Pages : 1861 - 1880, 2013

Yūki Naito - (email), Takasi Senba - (email)

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150

A therapy inactivating the tumor angiogenic factors

Mathematical Biosciences and Engineering  Volume 10, Issue 1, Pages : 185 - 198, 2012

Cristian Morales-Rodrigo - (email)

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151

Application of the subharmonic Melnikov method to piecewise-smooth systems

Discrete and Continuous Dynamical Systems  Volume 33, Issue 5, Pages : 2189 - 2209, 2012

Kazuyuki Yagasaki - (email)

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152

A link between microscopic and macroscopic models of self-organized aggregation

Networks and Heterogeneous Media  Volume 7, Issue 4, Pages : 705 - 740, 2012

Tadahisa Funaki - (email), Hirofumi Izuhara - (email), Masayasu Mimura - (email), Chiyori Urabe - (email)

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153

Topology and homoclinic trajectories of discrete dynamical systems

Discrete and Continuous Dynamical Systems - Series S  Volume 6, Issue 4, Pages : 1077 - 1094, 2012

Jacobo Pejsachowicz - (email), Robert Skiba - (email)

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154

Mathematics of traveling waves in chemotaxis --Review paper--

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 3, Pages : 601 - 641, 2012

Zhi-An Wang - (email)

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155

Large-time behavior of a parabolic-parabolic chemotaxis model with logarithmic sensitivity in one dimension

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 3, Pages : 821 - 845, 2012

Youshan Tao - (email), Lihe Wang - (email), Zhi-An Wang - (email)

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156

Canard explosion in chemical and optical systems

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 2, Pages : 495 - 512, 2012

Elena Shchepakina - (email), Olga Korotkova - (email)

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157

Low viral persistence of an immunological model

Mathematical Biosciences and Engineering  Volume 9, Issue 4, Pages : 809 - 817, 2012

Suqi Ma - (email)

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158

On the periodic solutions of a class of Duffing differential equations

Discrete and Continuous Dynamical Systems  Volume 33, Issue 1, Pages : 277 - 282, 2012

Jaume Llibre - (email), Luci Any Roberto - (email)

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159

Continuation and bifurcation of multi-symmetric solutions in reversible Hamiltonian systems

Discrete and Continuous Dynamical Systems  Volume 33, Issue 1, Pages : 359 - 363, 2012

André Vanderbauwhede - (email)

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160

Blowup in higher dimensional two species chemotactic systems

Communications on Pure and Applied Analysis  Volume 12, Issue 1, Pages : 89 - 98, 2012

Piotr Biler - (email), Elio E. Espejo - (email), Ignacio Guerra - (email)

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161

Convergence rates of zero diffusion limit on large amplitude solution to a conservation laws arising in chemotaxis

Kinetic and Related Models  Volume 5, Issue 3, Pages : 563 - 581, 2012

Hongyun Peng - (email), Lizhi Ruan - (email), Changjiang Zhu - (email)

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162

On limit systems for some population models with cross-diffusion

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 8, Pages : 2745 - 2769, 2012

Kousuke Kuto - (email), Yoshio Yamada - (email)

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163

Vegetation patterns and desertification waves in semi-arid environments: Mathematical models based on local facilitation in plants

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 8, Pages : 2815 - 2827, 2012

Jonathan A. Sherratt - (email), Alexios D. Synodinos - (email)

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164

Wavefront of an angiogenesis model

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 8, Pages : 2849 - 2860, 2012

Zhi-An Wang - (email)

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165

Anti-angiogenic therapy based on the binding to receptors

Discrete and Continuous Dynamical Systems  Volume 32, Issue 11, Pages : 3871 - 3894, 2012

Manuel Delgado - (email), Cristian Morales-Rodrigo - (email), Antonio Suárez - (email)

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166

Infinite dimensional relaxation oscillation in aggregation-growth systems

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 6, Pages : 1859 - 1887, 2012

Shin-Ichiro Ei - (email), Hirofumi Izuhara - (email), Masayasu Mimura - (email)

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167

Evaluating cyclicity of cubic systems with algorithms of computational algebra

Communications on Pure and Applied Analysis  Volume 11, Issue 5, Pages : 2023 - 2035, 2012

Viktor Levandovskyy - (email), Gerhard Pfister - (email), Valery G. Romanovski - (email)

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168

Global existence and boundedness in a Keller-Segel-Stokes model with arbitrary porous medium diffusion

Discrete and Continuous Dynamical Systems  Volume 32, Issue 5, Pages : 1901 - 1914, 2012

Youshan Tao - (email), Michael Winkler - (email)

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169

On a chemotaxis model with saturated chemotactic flux

Kinetic and Related Models  Volume 5, Issue 1, Pages : 51 - 95, 2012

Alina Chertock - (email), Alexander Kurganov - (email), Xuefeng Wang - (email), Yaping Wu - (email)

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170

A lattice model for resonance in open periodic waveguides

Discrete and Continuous Dynamical Systems - Series S  Volume 5, Issue 5, Pages : 989 - 1020, 2012

Natalia Ptitsyna - (email), Stephen P. Shipman - (email)

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171

A bifurcation for a generalized Burgers' equation in dimension one

Discrete and Continuous Dynamical Systems - Series S  Volume 5, Issue 3, Pages : 683 - 706, 2011

Jean-François Rault - (email)

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172

Box dimension and bifurcations of one-dimensional discrete dynamical systems

Discrete and Continuous Dynamical Systems  Volume 32, Issue 4, Pages : 1287 - 1307, 2011

Lana Horvat Dmitrović - (email)

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173

Bifurcation and bursting in Morris-Lecar model for class I and class II excitability

DCDS Supplements  Volume 2011, Issue Special, Pages : 391 - 399, 2011

Lixia Duan - (email), Dehong Zhai - (email), Qishao Lu - (email)

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174

The geometry of limit cycle bifurcations in polynomial dynamical systems

DCDS Supplements  Volume 2011, Issue Special, Pages : 447 - 456, 2011

Valery A. Gaiko - (email)

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175

Oscillating solutions to a parabolic-elliptic system related to a chemotaxis model

DCDS Supplements  Volume 2011, Issue Special, Pages : 1111 - 1118, 2011

Yūki Naito - (email), Takasi Senba - (email)

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176

Standing waves in a complex Ginzburg-Landau equation with time-delay feedback

DCDS Supplements  Volume 2011, Issue Special, Pages : 1329 - 1334, 2011

Michael Stich - (email), Carsten Beta - (email)

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177

Finite mass self-similar blowing-up solutions of a chemotaxis system with non-linear diffusion

Communications on Pure and Applied Analysis  Volume 11, Issue 1, Pages : 47 - 60, 2011

Adrien Blanchet - (email), Philippe Laurençot - (email)

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178

Dynamics of a boundary spike for the shadow Gierer-Meinhardt system

Communications on Pure and Applied Analysis  Volume 11, Issue 1, Pages : 115 - 145, 2011

Shin-Ichiro Ei - (email), Kota Ikeda - (email), Yasuhito Miyamoto - (email)

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179

Stability of nonconstant stationary solutions in a reaction-diffusion equation coupled to the system of ordinary differential equations

Communications on Pure and Applied Analysis  Volume 11, Issue 1, Pages : 229 - 241, 2011

Yuriy Golovaty - (email), Anna Marciniak-Czochra - (email), Mariya Ptashnyk - (email)

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180

A congestion model for cell migration

Communications on Pure and Applied Analysis  Volume 11, Issue 1, Pages : 243 - 260, 2011

Julien Dambrine - (email), Nicolas Meunier - (email), Bertrand Maury - (email), Aude Roudneff-Chupin - (email)

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181

Ostwald ripening in dryland vegetation

Communications on Pure and Applied Analysis  Volume 11, Issue 1, Pages : 261 - 273, 2011

Assaf Y. Kletter - (email), Jost von Hardenberg - (email), Ehud Meron - (email)

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182

Heterogeneity-induced spot dynamics for a three-component reaction-diffusion system

Communications on Pure and Applied Analysis  Volume 11, Issue 1, Pages : 307 - 338, 2011

Yasumasa Nishiura - (email), Takashi Teramoto - (email), Xiaohui Yuan - (email)

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183

Error analysis of a conservative finite-element approximation for the Keller-Segel system of chemotaxis

Communications on Pure and Applied Analysis  Volume 11, Issue 1, Pages : 339 - 364, 2011

Norikazu Saito - (email)

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184

Existence of multiple spike stationary patterns in a chemotaxis model with weak saturation

Discrete and Continuous Dynamical Systems  Volume 31, Issue 1, Pages : 139 - 164, 2011

Kazuhiro Kurata - (email), Kotaro Morimoto - (email)

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185

Bursting and two-parameter bifurcation in the Chay neuronal model

Discrete and Continuous Dynamical Systems - Series B  Volume 16, Issue 2, Pages : 445 - 456, 2011

Lixia Duan - (email), Zhuoqin Yang - (email), Shenquan Liu - (email), Dunwei Gong - (email)

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186

Firing control of ink gland motor cells in Aplysia californica

Discrete and Continuous Dynamical Systems - Series B  Volume 16, Issue 2, Pages : 529 - 545, 2011

Xiangying Meng - (email), Quanbao Ji - (email), John Rinzel - (email)

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187

The bifurcation of interfacial capillary-gravity waves under O(2) symmetry

Communications on Pure and Applied Analysis  Volume 10, Issue 4, Pages : 1183 - 1204, 2011

Mark Jones - (email)

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188

Dynamic phase transition for binary systems in cylindrical geometry

Discrete and Continuous Dynamical Systems - Series B  Volume 16, Issue 1, Pages : 173 - 188, 2011

I-Liang Chern - (email), Chun-Hsiung Hsia - (email)

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189

On the effects of migration and inter-specific competitions in steady state of some Lotka-Volterra model

Discrete and Continuous Dynamical Systems - Series B  Volume 15, Issue 3, Pages : 669 - 686, 2011

Fang Li - (email), Liping Wang - (email), Yang Wang - (email)

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190

Stability of positive constant steady states and their bifurcation in a biological depletion model

Discrete and Continuous Dynamical Systems - Series B  Volume 15, Issue 3, Pages : 849 - 865, 2011

Yan'e Wang - (email), Jianhua Wu - (email)

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191

Stripe patterns and the Eikonal equation

Discrete and Continuous Dynamical Systems - Series S  Volume 5, Issue 1, Pages : 183 - 189, 2011

Mark A. Peletier - (email), Marco Veneroni - (email)

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192

Complex spatiotemporal behavior in a chain of one-way nonlinearly coupled elements

Discrete and Continuous Dynamical Systems - Series S  Volume 4, Issue 5, Pages : 1167 - 1179, 2010

Yuri B. Gaididei - (email), Rainer Berkemer - (email), Carlos Gorria - (email), Peter L. Christiansen - (email), Atsushi Kawamoto - (email), Takahiro Shiga - (email), Mads P. Sørensen - (email), Jens Starke - (email)

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193

Nongeneric bifurcations near heterodimensional cycles with inclination flip in $\mathbb{R}^4$

Discrete and Continuous Dynamical Systems - Series S  Volume 4, Issue 6, Pages : 1511 - 1532, 2010

Dan Liu - (email), Shigui Ruan - (email), Deming Zhu - (email)

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194

Well-posedness for two types of generalized Keller-Segel system of chemotaxis in critical Besov spaces

Communications on Pure and Applied Analysis  Volume 10, Issue 1, Pages : 287 - 308, 2010

Zhichun Zhai - (email)

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195

Study on the stability and bifurcations of limit cycles in higher-dimensional nonlinear autonomous systems

Discrete and Continuous Dynamical Systems - Series B  Volume 15, Issue 1, Pages : 231 - 254, 2010

Jianhe Shen - (email), Shuhui Chen - (email), Kechang Lin - (email)

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196

The existence and structure of large spiky steady states for S-K-T competition systems with cross-diffusion

Discrete and Continuous Dynamical Systems  Volume 29, Issue 1, Pages : 367 - 385, 2010

Yaping Wu - (email), Qian Xu - (email)

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197

An effective design method to produce stationary chemical reaction-diffusion patterns

Communications on Pure and Applied Analysis  Volume 11, Issue 1, Pages : 189 - 207, 2010

Patrick De Kepper - (email), István Szalai - (email)

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198

Numerical simulation of a kinetic model for chemotaxis

Kinetic and Related Models  Volume 3, Issue 3, Pages : 501 - 528, 2010

Nicolas Vauchelet - (email)

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199

Imperfect bifurcations in nonlinear elliptic equations on spherical caps

Communications on Pure and Applied Analysis  Volume 9, Issue 5, Pages : 1189 - 1208, 2010

C. Bandle - (email), Y. Kabeya - (email), Hirokazu Ninomiya - (email)

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200

Morphological spatial patterns in a reaction diffusion model for metal growth

Mathematical Biosciences and Engineering  Volume 7, Issue 2, Pages : 237 - 258, 2010

Benedetto Bozzini - (email), Deborah Lacitignola - (email), Ivonne Sgura - (email)

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201

A pressure model of immune response to mycobacterium tuberculosis infection in several space dimensions

Mathematical Biosciences and Engineering  Volume 7, Issue 2, Pages : 277 - 300, 2010

Fabrizio Clarelli - (email), Roberto Natalini - (email)

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202

Multistability, oscillations and bifurcations in feedback loops

Mathematical Biosciences and Engineering  Volume 7, Issue 1, Pages : 83 - 97, 2010

Maria Conceição A. Leite - (email), Yunjiao Wang - (email)

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203

Dynamics of a plant-herbivore model with toxin-induced functional response

Mathematical Biosciences and Engineering  Volume 7, Issue 1, Pages : 149 - 169, 2010

Ya Li - (email), Z. Feng - (email)

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204

Flow driven dynamics of sheared flowing polymer-particulate nanocomposites

Discrete and Continuous Dynamical Systems  Volume 26, Issue 4, Pages : 1359 - 1382, 2009

Jun Li - (email), Qi Wang - (email)

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205

Generation of homoclinic tangencies by $C^1$-perturbations

Discrete and Continuous Dynamical Systems  Volume 26, Issue 1, Pages : 1 - 42, 2009

Nikolaz Gourmelon - (email)

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206

Singular convergence of nonlinear hyperbolic chemotaxis systems to Keller-Segel type models

Discrete and Continuous Dynamical Systems - Series B  Volume 13, Issue 1, Pages : 79 - 100, 2009

Marco Di Francesco - (email), Donatella Donatelli - (email)

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207

Existence and stability of high frequency standing waves for a nonlinear Schrödinger equation

Discrete and Continuous Dynamical Systems  Volume 25, Issue 4, Pages : 1229 - 1247, 2009

François Genoud - (email)

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208

Evidence of chaos in eco-epidemic models

Mathematical Biosciences and Engineering  Volume 6, Issue 4, Pages : 855 - 871, 2009

Dirk Stiefs - (email), Ezio Venturino - (email), Ulrike Feudel - (email)

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209

Stability analysis using an energy estimate approach of a reaction-diffusion model of atherogenesis

DCDS Supplements  Volume 2009, Issue Special, Pages : 630 - 639, 2009

L.R. Ritter - (email), Akif Ibragimov - (email), Jay R. Walton - (email), Catherine J. McNeal - (email)

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210

Reaction-diffusion equations for population dynamics with forced speed II - cylindrical-type domains

Discrete and Continuous Dynamical Systems  Volume 25, Issue 1, Pages : 19 - 61, 2009

Henri Berestycki - (email), Luca Rossi - (email)

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211

The two-dimensional Keller-Segel model after blow-up

Discrete and Continuous Dynamical Systems  Volume 25, Issue 1, Pages : 109 - 121, 2009

Jean Dolbeault - (email), Christian Schmeiser - (email)

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212

On the Gierer-Meinhardt system with precursors

Discrete and Continuous Dynamical Systems  Volume 25, Issue 1, Pages : 363 - 398, 2009

Juncheng Wei - (email), Matthias Winter - (email)

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213

Particle, kinetic and fluid models for phototaxis

Discrete and Continuous Dynamical Systems - Series B  Volume 12, Issue 1, Pages : 77 - 108, 2009

Seung-Yeal Ha - (email), Doron Levy - (email)

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214

Global bifurcation for discrete competitive systems in the plane

Discrete and Continuous Dynamical Systems - Series B  Volume 12, Issue 1, Pages : 133 - 149, 2009

M. R. S. Kulenović - (email), Orlando Merino - (email)

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215

Precise range of the existence of positive solutions of a nonlinear, indefinite in sign Neumann problem

Communications on Pure and Applied Analysis  Volume 8, Issue 3, Pages : 999 - 1018, 2009

Vladimir Lubyshev - (email)

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216

Short-time pattern formation in thin film equations

Discrete and Continuous Dynamical Systems  Volume 23, Issue 3, Pages : 867 - 885, 2008

Hyung Ju Hwang - (email), Thomas P. Witelski - (email)

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217

Random walk in the three-body problem and applications

Discrete and Continuous Dynamical Systems - Series S  Volume 1, Issue 4, Pages : 519 - 540, 2008

Edward Belbruno - (email)

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218

On the spatial central configurations of the 5--body problem and their bifurcations

Discrete and Continuous Dynamical Systems - Series S  Volume 1, Issue 4, Pages : 505 - 518, 2008

Martha Alvarez - (email), Joaquin Delgado - (email), Jaume Llibre - (email)

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219

Construction and asymptotic behavior of multi-peak solutions to the Gierer-Meinhardt system with saturation

Communications on Pure and Applied Analysis  Volume 7, Issue 6, Pages : 1443 - 1482, 2008

Kazuhiro Kurata - (email), Kotaro Morimoto - (email)

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220

Erratum

Discrete and Continuous Dynamical Systems  Volume 22, Issue 3, Pages : 816 - 816, 2008

Freddy Dumortier - (email), Robert Roussarie - (email)

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221

Existence and multiplicity of solutions for a weakly coupled radial system in a ball

Communications on Pure and Applied Analysis  Volume 7, Issue 4, Pages : 787 - 793, 2008

E. N. Dancer - (email), Sanjiban Santra - (email)

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222

The role of feedback in the formation of morphogen territories

Mathematical Biosciences and Engineering  Volume 5, Issue 2, Pages : 277 - 298, 2008

David Iron - (email), Adeela Syed - (email), Heidi Theisen - (email), Tamas Lukacsovich - (email), Mehrangiz Naghibi - (email), Lawrence J. Marsh - (email), Frederic Y. M. Wan - (email), Qing Nie - (email)

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223

Global existence for the kinetic chemotaxis model without pointwise memory effects, and including internal variables

Kinetic and Related Models  Volume 1, Issue 1, Pages : 29 - 48, 2008

Nikolaos Bournaveas - (email), Vincent Calvez - (email)

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224

Schrödinger equations with a spatially decaying nonlinearity: Existence and stability of standing waves

Discrete and Continuous Dynamical Systems  Volume 21, Issue 1, Pages : 137 - 186, 2008

François Genoud - (email), Charles A. Stuart - (email)

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225

Mathematical analysis of the transmission dynamics of HIV/TB coinfection in the presence of treatment

Mathematical Biosciences and Engineering  Volume 5, Issue 1, Pages : 145 - 174, 2008

Oluwaseun Sharomi - (email), Chandra N. Podder - (email), Abba B. Gumel - (email), Baojun Song - (email)

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226

Modeling group dynamics of phototaxis: From particle systems to PDEs

Discrete and Continuous Dynamical Systems - Series B  Volume 9, Issue 1, Pages : 103 - 128, 2007

Doron Levy - (email), Tiago Requeijo - (email)

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227

Modeling the motion of a cell population in the extracellular matrix

DCDS Supplements  Volume 2007, Issue Special, Pages : 250 - 259, 2007

A. Chauviere - (email), L. Preziosi - (email), T. Hillen - (email)

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228

Bifurcation of relaxation oscillations in dimension two

Discrete and Continuous Dynamical Systems  Volume 19, Issue 4, Pages : 631 - 674, 2007

Freddy Dumortier - (email), Robert Roussarie - (email)

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229

Turing patterns on growing spheres: the exponential case

DCDS Supplements  Volume 2007, Issue Special, Pages : 436 - 445, 2007

Julijana Gjorgjieva - (email), Jon Jacobsen - (email)

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230

Seventeen limit cycles bifurcations of a fifth system

DCDS Supplements  Volume 2007, Issue Special, Pages : 1070 - 1081, 2007

Yunming Zhou - (email), Desheng Shang - (email), Tonghua Zhang - (email)

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231

Modelling periodic oscillations during somitogenesis

Mathematical Biosciences and Engineering  Volume 4, Issue 4, Pages : 661 - 673, 2007

Peng Feng - (email), Menaka Navaratna - (email)

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232

Vector p-Laplacian like operators, pseudo-eigenvalues, and bifurcation

Discrete and Continuous Dynamical Systems  Volume 19, Issue 2, Pages : 299 - 321, 2007

Marta García-Huidobro - (email), Raul Manásevich - (email), J. R. Ward - (email)

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233

Nonlinear transmission problems for quasilinear diffusion systems

Networks and Heterogeneous Media  Volume 2, Issue 2, Pages : 359 - 381, 2007

F. R. Guarguaglini - (email), R. Natalini - (email)

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234

Dynamics of a predator-prey model with non-monotonic response function

Discrete and Continuous Dynamical Systems  Volume 18, Issue 2/3, Pages : 221 - 251, 2007

H. W. Broer - (email), K. Saleh - (email), V. Naudot - (email), R. Roussarie - (email)

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235

An optimal adaptive time-stepping scheme for solving reaction-diffusion-chemotaxis systems

Mathematical Biosciences and Engineering  Volume 4, Issue 2, Pages : 187 - 203, 2007

Chichia Chiu - (email), Jui-Ling Yu - (email)

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236

Canard cycles with two breaking parameters

Discrete and Continuous Dynamical Systems  Volume 17, Issue 4, Pages : 787 - 806, 2007

Freddy Dumortier - (email), Robert Roussarie - (email)

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237

Attractor bifurcation and final patterns of the n-dimensional and generalized Swift-Hohenberg equations

Discrete and Continuous Dynamical Systems - Series B  Volume 7, Issue 2, Pages : 441 - 456, 2006

Masoud Yari - (email)

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238

Global existence and uniqueness of solutions for multidimensional weakly parabolic systems arising in chemistry and biology

Communications on Pure and Applied Analysis  Volume 6, Issue 1, Pages : 287 - 309, 2006

F. R. Guarguaglini - (email), R. Natalini - (email)

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239

The dynamics of a stoichiometric plant-herbivore model and its discrete analog

Mathematical Biosciences and Engineering  Volume 4, Issue 1, Pages : 29 - 46, 2006

Guangyu Sui - (email), Meng Fan - (email), Irakli Loladze - (email), Yang Kuang - (email)

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240

Exogenous control of vascular network formation in vitro: a mathematical model

Networks and Heterogeneous Media  Volume 1, Issue 4, Pages : 621 - 637, 2006

V. Lanza - (email), D. Ambrosi - (email), L. Preziosi - (email)

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241

Global existence for chemotaxis with finite sampling radius

Discrete and Continuous Dynamical Systems - Series B  Volume 7, Issue 1, Pages : 125 - 144, 2006

T. Hillen - (email), K. Painter - (email), Christian Schmeiser - (email)

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242

Global existence results for complex hyperbolic models of bacterial chemotaxis

Discrete and Continuous Dynamical Systems - Series B  Volume 6, Issue 6, Pages : 1239 - 1260, 2006

Radek Erban - (email), Hyung Ju Hwang - (email)

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243

The dynamics of a Prey-Predator model with impulsive state feedback control

Discrete and Continuous Dynamical Systems - Series B  Volume 6, Issue 6, Pages : 1301 - 1320, 2006

Guirong Jiang - (email), Qishao Lu - (email)

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244

Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity

Networks and Heterogeneous Media  Volume 1, Issue 3, Pages : 399 - 439, 2006

M.A.J Chaplain - (email), G. Lolas - (email)

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245

On a Burgers' type equation

Discrete and Continuous Dynamical Systems - Series B  Volume 6, Issue 5, Pages : 1121 - 1139, 2006

Chun-Hsiung Hsia - (email), Xiaoming Wang - (email)

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246

Models of aggregation in dictyostelium discoideum: On the track of spiral waves

Networks and Heterogeneous Media  Volume 1, Issue 2, Pages : 241 - 258, 2006

Miguel A. Herrero - (email), Leandro Sastre - (email)

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247

Dynamic bifurcation theory of Rayleigh-Bénard convection with infinite Prandtl number

Discrete and Continuous Dynamical Systems - Series B  Volume 6, Issue 3, Pages : 591 - 604, 2006

Jungho Park - (email)

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248

Nonlinear semelparous Leslie models

Mathematical Biosciences and Engineering  Volume 3, Issue 1, Pages : 17 - 36, 2005

J. M. Cushing - (email)

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249

Raves, clubs and ecstasy: the impact of peer pressure

Mathematical Biosciences and Engineering  Volume 3, Issue 1, Pages : 249 - 266, 2005

Baojun Song - (email), Melissa Castillo-Garsow - (email), Karen R. Ríos-Soto - (email), Marcin Mejran - (email), Leilani Henso - (email), Carlos Castillo-Chavez - (email)

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250

Multiple stable patterns for some reaction-diffusion equation in disrupted environments

Discrete and Continuous Dynamical Systems  Volume 14, Issue 1, Pages : 93 - 116, 2005

Takanori Ide - (email), Kazuhiro Kurata - (email), Kazunaga Tanaka - (email)

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251

Behaviors of solutions to a scalar-field equation involving the critical Sobolev exponent with the Robin condition

Discrete and Continuous Dynamical Systems  Volume 14, Issue 1, Pages : 117 - 134, 2005

Y. Kabeya - (email)

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252

Kinks in stripe forming systems under traveling wave forcing

Discrete and Continuous Dynamical Systems - Series B  Volume 5, Issue 4, Pages : 1027 - 1042, 2005

S. Rüdiger - (email), J. Casademunt - (email), L. Kramer - (email)

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253

A Metapopulation Model Of Granuloma Formation In The Lung During Infection With Mycobacterium Tuberculosis

Mathematical Biosciences and Engineering  Volume 2, Issue 3, Pages : 535 - 560, 2005

Suman Ganguli - (email), David Gammack - (email), Denise E. Kirschner - (email)

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254

Spatially Distributed Morphogen Production and Morphogen Gradient Formation

Mathematical Biosciences and Engineering  Volume 2, Issue 2, Pages : 239 - 262, 2005

Arthur D. Lander - (email), Qing Nie - (email), Frederic Y. M. Wan - (email)

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255

Impulsive Ecological Control Of A Stage-Structured Pest Management System

Mathematical Biosciences and Engineering  Volume 2, Issue 2, Pages : 329 - 344, 2005

Guirong Jiang - (email), Qishao Lu - (email), Linping Peng - (email)

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256

Two-Species Competition with High Dispersal: The Winning Strategy

Mathematical Biosciences and Engineering  Volume 2, Issue 2, Pages : 345 - 362, 2005

S.A. Gourley - (email), Yang Kuang - (email)

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257

Drift-diffusion limits of kinetic models for chemotaxis: A generalization

Discrete and Continuous Dynamical Systems - Series B  Volume 5, Issue 2, Pages : 319 - 334, 2005

H.J. Hwang - (email), K. Kang - (email), A. Stevens - (email)

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258

Bifurcation of spike equilibria in the near-shadow Gierer-Meinhardt model

Discrete and Continuous Dynamical Systems - Series B  Volume 4, Issue 4, Pages : 1033 - 1064, 2004

Theodore Kolokolnikov - (email), Michael J. Ward - (email)

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259

Dynamical Models of Tuberculosis and Their Applications

Mathematical Biosciences and Engineering  Volume 1, Issue 2, Pages : 361 - 404, 2004

Carlos Castillo-Chavez - (email), Baojun Song - (email)

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260

Impulsive vaccination of sir epidemic models with nonlinear incidence rates

Discrete and Continuous Dynamical Systems - Series B  Volume 4, Issue 3, Pages : 595 - 605, 2004

Jing Hui - (email), Lansun Chen - (email)

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261

The impact of state feedback control on a predator-prey model with functional response

Discrete and Continuous Dynamical Systems - Series B  Volume 4, Issue 3, Pages : 607 - 614, 2004

Haiying Jing - (email), Zhaoyu Yang - (email)

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262

Turing instabilities and pattern formation in a benthic nutrient-microorganism system

Mathematical Biosciences and Engineering  Volume 1, Issue 1, Pages : 111 - 130, 2004

Martin Baurmann - (email), Wolfgang Ebenhöh - (email), Ulrike Feudel - (email)

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263

A hierarchy of cancer models and their mathematical challenges

Discrete and Continuous Dynamical Systems - Series B  Volume 4, Issue 1, Pages : 147 - 159, 2003

Avner Friedman - (email)

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264

Factor analysis of nonlinear mappings: p-regularity theory

Communications on Pure and Applied Analysis  Volume 2, Issue 4, Pages : 425 - 445, 2003

Jerrold E. Marsden - (email), Alexey Tret'yakov - (email)

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265

Cylindrical shell buckling: a characterization of localization and periodicity

Discrete and Continuous Dynamical Systems - Series B  Volume 3, Issue 4, Pages : 505 - 518, 2003

G.W. Hunt - (email), Gabriel J. Lord - (email), Mark A. Peletier - (email)

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266

Bifurcation from a homoclinic orbit in partial functional differential equations

Discrete and Continuous Dynamical Systems  Volume 9, Issue 5, Pages : 1293 - 1322, 2003

Shigui Ruan - (email), Junjie Wei - (email), Jianhong Wu - (email)

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267

Degenerate resonances in forced oscillators

Discrete and Continuous Dynamical Systems - Series B  Volume 3, Issue 3, Pages : 423 - 438, 2003

Kazuyuki Yagasaki - (email)

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268

Stochastic global bifurcation in perturbed Hamiltonian systems

DCDS Supplements  Volume 2003, Issue Special, Pages : 123 - 132, 2003

Lora Billings - (email), Erik M. Bollt - (email), David Morgan - (email), Ira B. Schwartz - (email)

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269

Exponential attractors for a chemotaxis growth system on domains of arbitrary dimension

DCDS Supplements  Volume 2003, Issue Special, Pages : 536 - 543, 2003

Dung Le - (email)

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270

Numerical simulation of capillary formation during the onset of tumor angiogenesis

DCDS Supplements  Volume 2003, Issue Special, Pages : 817 - 826, 2003

Michael W. Smiley - (email), Howard A. Levine - (email), Marit Nilsen Hamilton - (email)

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271

Chaotic advection, transport and patchiness in clouds of pollution in an estuarine flow

Discrete and Continuous Dynamical Systems - Series B  Volume 3, Issue 2, Pages : 263 - 284, 2003

J.R. Stirling - (email)

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272

A nonautonomous transcritical bifurcation problem with an application to quasi-periodic bubbles

Discrete and Continuous Dynamical Systems  Volume 9, Issue 1, Pages : 209 - 224, 2002

Russell Johnson - (email), Francesca Mantellini - (email)

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273

Simulation of stationary chemical patterns and waves in ionic reactions

Discrete and Continuous Dynamical Systems - Series B  Volume 2, Issue 1, Pages : 35 - 46, 2001

Arno F. Münster - (email)

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274

On subharmonics bifurcation in equations with homogeneous nonlinearities

Discrete and Continuous Dynamical Systems  Volume 7, Issue 4, Pages : 747 - 762, 2001

Alexander Krasnosel'skii - (email), Alexei Pokrovskii - (email)

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275

Exact multiplicity of solutions for classes of semipositone problems with concave-convex nonlinearity

Discrete and Continuous Dynamical Systems  Volume 7, Issue 3, Pages : 559 - 571, 2001

Junping Shi - (email), Ratnasingham Shivaji - (email)

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276

Bifurcating vortex solutions of the complex Ginzburg-Landau equation

Discrete and Continuous Dynamical Systems  Volume 5, Issue 4, Pages : 871 - 880, 1999

Hans G. Kaper - (email), Peter Takáč - (email)

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277

Bifurcation from degenerate homoclinics in periodically forced systems

Discrete and Continuous Dynamical Systems  Volume 5, Issue 2, Pages : 359 - 374, 1999

Michal Fečkan - (email)

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