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Classification and bifurcation of a class of second-order ODEs and its application to nonlinear PDEs

Discrete and Continuous Dynamical Systems - Series S  Volume 11, Issue 4, Pages : 759 - 772, 2017

Lijun Zhang - (email), Chaudry Masood Khalique - (email)

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(Non)local and (non)linear free boundary problems

Discrete and Continuous Dynamical Systems - Series S  Volume 11, Issue 3, Pages : 465 - 476, 2017

Serena Dipierro - (email), Enrico Valdinoci - (email)

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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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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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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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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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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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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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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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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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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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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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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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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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Optimisation modelling of cancer growth

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 1, Pages : 115 - 123, 2016

Tiffany A. Jones - (email), Lou Caccetta - (email), Volker Rehbock - (email)

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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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Traveling wave solutions with convex domains for a free boundary problem

Discrete and Continuous Dynamical Systems  Volume 37, Issue 2, Pages : 905 - 914, 2016

Harunori Monobe - (email), Hirokazu Ninomiya - (email)

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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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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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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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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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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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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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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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Free boundary problems for systems of Stokes equations

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 5, Pages : 1455 - 1468, 2016

Avner Friedman - (email)

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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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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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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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Local well-posedness of free surface problems for the Navier-Stokes equations in a general domain

Discrete and Continuous Dynamical Systems - Series S  Volume 9, Issue 1, Pages : 315 - 342, 2015

Yoshihiro Shibata - (email)

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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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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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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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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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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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35

Hybrid models of cell and tissue dynamics in tumor growth

Mathematical Biosciences and Engineering  Volume 12, Issue 6, Pages : 1141 - 1156, 2015

Yangjin Kim - (email), Hans G. Othmer - (email)

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36

Synergistic effect of blocking cancer cell invasion revealed by computer simulations

Mathematical Biosciences and Engineering  Volume 12, Issue 6, Pages : 1189 - 1202, 2015

Kazuhisa Ichikawa - (email)

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The role of the cytokines IL-27 and IL-35 in cancer

Mathematical Biosciences and Engineering  Volume 12, Issue 6, Pages : 1203 - 1217, 2015

Avner Friedman - (email), Kang-Ling Liao - (email)

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Models, measurement and inference in epithelial tissue dynamics

Mathematical Biosciences and Engineering  Volume 12, Issue 6, Pages : 1321 - 1340, 2015

Oliver J. Maclaren - (email), Helen M. Byrne - (email), Alexander G. Fletcher - (email), Philip K. Maini - (email)

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Passive scalars, moving boundaries, and Newton's law of cooling

Discrete and Continuous Dynamical Systems  Volume 36, Issue 3, Pages : 1383 - 1413, 2015

Juhi Jang - (email), Ian Tice - (email)

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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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41

Behavior of radially symmetric solutions for a free boundary problem related to cell motility

Discrete and Continuous Dynamical Systems - Series S  Volume 8, Issue 5, Pages : 989 - 997, 2015

Harunori Monobe - (email)

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42

Stationary solutions for some shadow system of the Keller-Segel model with logistic growth

Discrete and Continuous Dynamical Systems - Series S  Volume 8, Issue 5, Pages : 1023 - 1034, 2015

Tohru Tsujikawa - (email), Kousuke Kuto - (email), Yasuhito Miyamoto - (email), Hirofumi Izuhara - (email)

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43

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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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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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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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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Chaos in a model for masting

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

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

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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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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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50

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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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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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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53

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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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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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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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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The singular limit problem in a phase separation model with different diffusion rates $^*$

Discrete and Continuous Dynamical Systems  Volume 35, Issue 1, Pages : 483 - 512, 2014

Kelei Wang - (email)

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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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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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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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61

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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62

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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63

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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Multiple existence of traveling waves of a free boundary problem describing cell motility

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 3, Pages : 789 - 799, 2014

Harunori Monobe - (email), Hirokazu Ninomiya - (email)

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On two phase free boundary problems governed by elliptic equations with distributed sources

Discrete and Continuous Dynamical Systems - Series S  Volume 7, Issue 4, Pages : 673 - 693, 2014

Daniela De Silva - (email), Fausto Ferrari - (email), Sandro Salsa - (email)

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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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67

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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Regularity of a vector valued two phase free boundary problems

DCDS Supplements  Volume 2013, Issue special, Pages : 365 - 374, 2013

Huiqiang Jiang - (email)

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69

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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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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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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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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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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74

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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Computational modeling approaches to studying the dynamics of oncolytic viruses

Mathematical Biosciences and Engineering  Volume 10, Issue 3, Pages : 939 - 957, 2013

Dominik Wodarz - (email)

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A mathematical model for the immunotherapeutic control of the Th1/Th2 imbalance in melanoma

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 4, Pages : 1017 - 1030, 2013

Yuri Kogan - (email), Zvia Agur - (email), Moran Elishmereni - (email)

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77

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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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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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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80

On a mathematical model of tumor growth based on cancer stem cells

Mathematical Biosciences and Engineering  Volume 10, Issue 1, Pages : 263 - 278, 2012

J. Ignacio Tello - (email)

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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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PDE problems arising in mathematical biology

Networks and Heterogeneous Media  Volume 7, Issue 4, Pages : 691 - 703, 2012

Avner Friedman - (email)

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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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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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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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Evolution of uncontrolled proliferation and the angiogenic switch in cancer

Mathematical Biosciences and Engineering  Volume 9, Issue 4, Pages : 843 - 876, 2012

John D. Nagy - (email), Dieter Armbruster - (email)

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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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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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Convexity of the free boundary for an exterior free boundary problem involving the perimeter

Communications on Pure and Applied Analysis  Volume 12, Issue 3, Pages : 1431 - 1443, 2012

Hayk Mikayelyan - (email), Henrik Shahgholian - (email)

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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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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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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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93

Conservation laws in mathematical biology

Discrete and Continuous Dynamical Systems  Volume 32, Issue 9, Pages : 3081 - 3097, 2012

Avner Friedman - (email)

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94

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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95

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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96

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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97

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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98

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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99

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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100

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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101

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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102

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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103

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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104

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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105

Investigating the steady state of multicellular spheroids by revisiting the two-fluid model

Mathematical Biosciences and Engineering  Volume 8, Issue 2, Pages : 239 - 252, 2011

Antonio Fasano - (email), Marco Gabrielli - (email), Alberto Gandolfi - (email)

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106

Questions from the fourth son: A clinician reflects on immunomonitoring, surrogate markers and systems biology

Mathematical Biosciences and Engineering  Volume 8, Issue 2, Pages : 279 - 287, 2011

Charles Wiseman, M.D. - (email)

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107

Tumor cells proliferation and migration under the influence of their microenvironment

Mathematical Biosciences and Engineering  Volume 8, Issue 2, Pages : 371 - 383, 2011

Avner Friedman - (email), Yangjin Kim - (email)

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108

A delay-differential equation model of HIV related cancer--immune system dynamics

Mathematical Biosciences and Engineering  Volume 8, Issue 2, Pages : 627 - 641, 2011

Urszula Foryś - (email), Jan Poleszczuk - (email)

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109

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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110

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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111

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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112

An elementary approach to modeling drug resistance in cancer

Mathematical Biosciences and Engineering  Volume 7, Issue 4, Pages : 905 - 918, 2010

Cristian Tomasetti - (email), Doron Levy - (email)

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113

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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114

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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115

A simple proof of well-posedness for the free-surface incompressible Euler equations

Discrete and Continuous Dynamical Systems - Series S  Volume 3, Issue 3, Pages : 429 - 449, 2010

Daniel Coutand - (email), Steve Shkoller - (email)

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116

On the transverse instability of one dimensional capillary-gravity waves

Discrete and Continuous Dynamical Systems - Series B  Volume 13, Issue 4, Pages : 859 - 872, 2010

Frédéric Rousset - (email), Nikolay Tzvetkov - (email)

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117

Flows in porous media with erosion of the solid matrix

Networks and Heterogeneous Media  Volume 5, Issue 1, Pages : 63 - 95, 2010

Leda Bucciantini - (email), Angiolo Farina - (email), Antonio Fasano - (email)

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118

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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119

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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120

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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121

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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122

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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123

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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124

On the global dynamics of a model for tumor immunotherapy

Mathematical Biosciences and Engineering  Volume 6, Issue 3, Pages : 573 - 583, 2009

Denise E. Kirschner - (email), Alexei Tsygvintsev - (email)

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125

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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126

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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127

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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128

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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129

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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130

Erratum

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

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

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131

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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132

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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133

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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134

Multiphase modeling and qualitative analysis of the growth of tumor cords

Networks and Heterogeneous Media  Volume 3, Issue 1, Pages : 43 - 83, 2008

Andrea Tosin - (email)

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135

Contour enhancement via a singular free boundary problem

DCDS Supplements  Volume 2007, Issue Special, Pages : 44 - 53, 2007

Anna Lisa Amadori - (email)

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136

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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137

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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138

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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139

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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140

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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141

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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142

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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143

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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144

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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145

Modeling Cancer in HIV-1 Infected Individuals: Equilibria, Cycles and Chaotic Behavior

Mathematical Biosciences and Engineering  Volume 3, Issue 2, Pages : 313 - 324, 2006

Jie Lou - (email), Tommaso Ruggeri - (email), Claudio Tebaldi - (email)

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146

Nonlinear semelparous Leslie models

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

J. M. Cushing - (email)

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147

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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148

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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149

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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150

Using Mathematical Modeling as a Resource in Clinical Trials

Mathematical Biosciences and Engineering  Volume 2, Issue 3, Pages : 421 - 436, 2005

Evans K. Afenya - (email)

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151

Interstitial Pressure And Fluid Motion In Tumor Cords

Mathematical Biosciences and Engineering  Volume 2, Issue 3, Pages : 445 - 460, 2005

Alessandro Bertuzzi - (email), Antonio Fasano - (email), Alberto Gandolfi - (email), Carmela Sinisgalli - (email)

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152

Immunotherapy: An Optimal Control Theory Approach

Mathematical Biosciences and Engineering  Volume 2, Issue 3, Pages : 499 - 510, 2005

K. Renee Fister - (email), Jennifer Hughes Donnelly - (email)

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153

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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154

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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155

The Ecology and Evolutionary Biology of Cancer: A Review of Mathematical Models of Necrosis and Tumor Cell Diversity

Mathematical Biosciences and Engineering  Volume 2, Issue 2, Pages : 381 - 418, 2005

John D. Nagy - (email)

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156

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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157

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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158

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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159

Optimal control applied to immunotherapy

Discrete and Continuous Dynamical Systems - Series B  Volume 4, Issue 1, Pages : 135 - 146, 2003

Thalya Burden - (email), Jon Ernstberger - (email), K. Renee Fister - (email)

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160

Modelling cell populations with spatial structure: Steady state and treatment-induced evolution

Discrete and Continuous Dynamical Systems - Series B  Volume 4, Issue 1, Pages : 161 - 186, 2003

Alessandro Bertuzzi - (email), Alberto d'Onofrio - (email), Antonio Fasano - (email), Alberto Gandolfi - (email)

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161

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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162

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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163

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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164

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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165

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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166

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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167

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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168

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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169

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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170

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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