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Nonexistence of nonconstant positive steady states of a diffusive predator-prey model

Communications on Pure and Applied Analysis  Volume 17, Issue 2, Pages : 477 - 485, 2017

Shanshan Chen - (email)

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2

Some remarks on the Gottman-Murray model of marital dissolution and time delays

Discrete and Continuous Dynamical Systems - Series B  Volume 23, Issue 1, Pages : 181 - 191, 2017

Urszula Foryś - (email)

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3

The role of optimism and pessimism in the dynamics of emotional states

Discrete and Continuous Dynamical Systems - Series B  Volume 23, Issue 1, Pages : 401 - 423, 2017

Monika Joanna Piotrowska - (email), Joanna Górecka - (email), Urszula Foryś - (email)

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Finite determining parameters feedback control for distributed nonlinear dissipative systems - a computational study

Evolution Equations and Control Theory  Volume 6, Issue 4, Pages : 535 - 557, 2017

Evelyn Lunasin - (email), Edriss S. Titi - (email)

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Stability and bifurcation on predator-prey systems with nonlocal prey competition

Discrete and Continuous Dynamical Systems  Volume 38, Issue 1, Pages : 43 - 62, 2017

Shanshan Chen - (email), Jianshe Yu - (email)

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Traveling wave solutions of a reaction-diffusion predator-prey model

Discrete and Continuous Dynamical Systems - Series S  Volume 10, Issue 5, Pages : 1063 - 1078, 2017

Jiang Liu - (email), Xiaohui Shang - (email), Zengji Du - (email)

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Dynamics of a nonlocal SIS epidemic model with free boundary

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 2, Pages : 247 - 266, 2016

Jia-Feng Cao - (email), Wan-Tong Li - (email), Fei-Ying Yang - (email)

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8

Blow-up, steady states and long time behaviour of excitatory-inhibitory nonlinear neuron models

Kinetic and Related Models  Volume 10, Issue 3, Pages : 587 - 612, 2016

María J. Cáceres - (email), Ricarda Schneider - (email)

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9

Growth of single phytoplankton species with internal storage in a water column

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 2, Pages : 607 - 620, 2015

Linfeng Mei - (email), Sze-Bi Hsu - (email), Feng-Bin Wang - (email)

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10

Nonlinear stability of a heterogeneous state in a PDE-ODE model for acid-mediated tumor invasion

Mathematical Biosciences and Engineering  Volume 13, Issue 1, Pages : 193 - 207, 2015

Youshan Tao - (email), J. Ignacio Tello - (email)

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Dynamics of a host-pathogen system on a bounded spatial domain

Communications on Pure and Applied Analysis  Volume 14, Issue 6, Pages : 2535 - 2560, 2015

Feng-Bin Wang - (email), Junping Shi - (email), Xingfu Zou - (email)

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12

On the homogenization of multicomponent transport

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 8, Pages : 2527 - 2551, 2015

Grégoire Allaire - (email), Harsha Hutridurga - (email)

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Annihilation of two interfaces in a hybrid system

Discrete and Continuous Dynamical Systems - Series S  Volume 8, Issue 5, Pages : 857 - 869, 2015

Shin-Ichiro Ei - (email), Kei Nishi - (email), Yasumasa Nishiura - (email), Takashi Teramoto - (email)

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14

Spatial population dynamics in a producer-scrounger model

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 6, Pages : 1591 - 1607, 2015

Chris Cosner - (email), Andrew L. Nevai - (email)

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15

Traveling wave phenomena of a diffusive and vector-bias malaria model

Communications on Pure and Applied Analysis  Volume 14, Issue 3, Pages : 923 - 940, 2015

Zhiting Xu - (email), Yiyi Zhang - (email)

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16

Galactic dynamics in MOND---Existence of equilibria with finite mass and compact support

Kinetic and Related Models  Volume 8, Issue 2, Pages : 381 - 394, 2015

Gerhard Rein - (email)

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17

Pattern formation in a cross-diffusion system

Discrete and Continuous Dynamical Systems  Volume 35, Issue 4, Pages : 1589 - 1607, 2014

Yuan Lou - (email), Wei-Ming Ni - (email), Shoji Yotsutani - (email)

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18

Traveling waves of a mutualistic model of mistletoes and birds

Discrete and Continuous Dynamical Systems  Volume 35, Issue 4, Pages : 1743 - 1765, 2014

Chuncheng Wang - (email), Rongsong Liu - (email), Junping Shi - (email), Carlos Martinez del Rio - (email)

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19

Feedback control of nonlinear dissipative systems by finite determining parameters - A reaction-diffusion paradigm

Evolution Equations and Control Theory  Volume 3, Issue 4, Pages : 579 - 594, 2014

Abderrahim Azouani - (email), Edriss S. Titi - (email)

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20

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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21

Alternate steady states for classes of reaction diffusion models on exterior domains

Discrete and Continuous Dynamical Systems - Series S  Volume 7, Issue 6, Pages : 1181 - 1191, 2014

Dagny Butler - (email), Eunkyung Ko - (email), R. Shivaji - (email)

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22

The stability of steady-state hot-spot patterns for a reaction-diffusion model of urban crime

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 5, Pages : 1373 - 1410, 2014

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

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23

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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25

Traveling fronts guided by the environment for reaction-diffusion equations

Networks and Heterogeneous Media  Volume 8, Issue 1, Pages : 79 - 114, 2013

Henri Berestycki - (email), Guillemette Chapuisat - (email)

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Wavespeed selection in the heterogeneous Fisher equation: Slowly varying inhomogeneity

Networks and Heterogeneous Media  Volume 8, Issue 1, Pages : 343 - 378, 2013

John R. King - (email)

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27

Nonlinear instability of solutions in parabolic and hyperbolic diffusion

Evolution Equations and Control Theory  Volume 2, Issue 2, Pages : 403 - 422, 2013

Stephen Pankavich - (email), Petronela Radu - (email)

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28

Modeling of the kinetics of vitamin D$_3$ in osteoblastic cells

Mathematical Biosciences and Engineering  Volume 10, Issue 2, Pages : 319 - 344, 2013

Robert P. Gilbert - (email), Philippe Guyenne - (email), Ying Liu - (email)

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29

A vector-bias malaria model with incubation period and diffusion

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 7, Pages : 2615 - 2634, 2012

Zhiting Xu - (email), Xiao-Qiang Zhao - (email)

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30

Steady states in hierarchical structured populations with distributed states at birth

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 8, Pages : 2671 - 2689, 2012

József Z. Farkas - (email), Peter Hinow - (email)

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31

On the dependence of population size upon random dispersal rate

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 8, Pages : 2771 - 2788, 2012

Song Liang - (email), Yuan Lou - (email)

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32

Evolution of mixed dispersal in periodic environments

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 6, Pages : 2047 - 2072, 2012

Chiu-Yen Kao - (email), Yuan Lou - (email), Wenxian Shen - (email)

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33

Optimal control of advective direction in reaction-diffusion population models

Evolution Equations and Control Theory  Volume 1, Issue 1, Pages : 81 - 107, 2012

Heather Finotti - (email), Suzanne Lenhart - (email), Tuoc Van Phan - (email)

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34

Macrotransport in nonlinear, reactive, shear flows

Communications on Pure and Applied Analysis  Volume 11, Issue 5, Pages : 2125 - 2146, 2012

Eric S. Wright - (email)

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35

Wavelet analysis of phase clusters in a distributed biochemical system

DCDS Supplements  Volume 2011, Issue Special, Pages : 1404 - 1412, 2011

Andrey Yu. Verisokin - (email), Darya V. Verveyko - (email), Eugene B. Postnikov - (email), Anastasia I. Lavrova - (email)

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36

Demography in epidemics modelling

Communications on Pure and Applied Analysis  Volume 11, Issue 1, Pages : 61 - 82, 2011

Jacques Demongeot - (email), Jean Gaudart - (email), Julie Mintsa - (email), Mustapha Rachdi - (email)

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37

Uniqueness from pointwise observations in a multi-parameter inverse problem

Communications on Pure and Applied Analysis  Volume 11, Issue 1, Pages : 173 - 188, 2011

Michel Cristofol - (email), Jimmy Garnier - (email), François Hamel - (email), Lionel Roques - (email)

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38

Mathematical analysis and numerical simulation of a model of morphogenesis

Mathematical Biosciences and Engineering  Volume 8, Issue 4, Pages : 1035 - 1059, 2011

Ana I. Muñoz - (email), José Ignacio Tello - (email)

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39

A central limit theorem for pulled fronts in a random medium

Networks and Heterogeneous Media  Volume 6, Issue 2, Pages : 167 - 194, 2011

James Nolen - (email)

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40

Approximating the large time asymptotic reaction zone solution for fractional order kinetics $A^n B^m$

Discrete and Continuous Dynamical Systems - Series S  Volume 5, Issue 1, Pages : 219 - 234, 2011

Philip M. J. Trevelyan - (email)

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41

A multicomponent model for biofilm-drug interaction

Discrete and Continuous Dynamical Systems - Series B  Volume 15, Issue 2, Pages : 417 - 456, 2010

Brandon Lindley - (email), Qi Wang - (email), Tianyu Zhang - (email)

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42

Stationary patterns for an adsorbate-induced phase transition model I: Existence

Discrete and Continuous Dynamical Systems - Series B  Volume 14, Issue 3, Pages : 1105 - 1117, 2010

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

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43

Random dispersal vs. non-local dispersal

Discrete and Continuous Dynamical Systems  Volume 26, Issue 2, Pages : 551 - 596, 2009

Chiu-Yen Kao - (email), Yuan Lou - (email), Wenxian Shen - (email)

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44

Interface conditions for a singular reaction-diffusion system

Discrete and Continuous Dynamical Systems - Series S  Volume 2, Issue 3, Pages : 631 - 643, 2009

Thomas I. Seidman - (email)

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45

Entropy methods for reaction-diffusion systems

DCDS Supplements  Volume 2007, Issue Special, Pages : 304 - 312, 2007

Laurent Desvillettes - (email), Klemens Fellner - (email)

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46

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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47

The stability of stationary fronts for a discrete nerve axon model

Mathematical Biosciences and Engineering  Volume 4, Issue 1, Pages : 113 - 129, 2006

Christopher E. Elmer - (email)

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48

Dirichlet boundary conditions can prevent blow-up in reaction-diffusion equations and systems

Discrete and Continuous Dynamical Systems  Volume 14, Issue 1, Pages : 63 - 74, 2005

Marek Fila - (email), Hirokazu Ninomiya - (email), Juan-Luis Vázquez - (email)

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49

Steady states of a strongly coupled prey-predator model

DCDS Supplements  Volume 2005, Issue Special, Pages : 173 - 180, 2005

Xinfu Chen - (email), Yuanwei Qi - (email), Mingxin Wang - (email)

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50

Fitzhugh-Nagumo equations in a nonhomogeneous medium

DCDS Supplements  Volume 2005, Issue Special, Pages : 216 - 224, 2005

Arnold Dikansky - (email)

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51

Transition layers and spikes for a reaction-diffusion equation with bistable nonlinearity

DCDS Supplements  Volume 2005, Issue Special, Pages : 868 - 877, 2005

Michio Urano - (email), Kimie Nakashima - (email), Yoshio Yamada - (email)

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52

A reaction-diffusion system modeling the spread of resistance to an antimalarial drug

Mathematical Biosciences and Engineering  Volume 2, Issue 2, Pages : 227 - 238, 2005

Nicolas Bacaër - (email), Cheikh Sokhna - (email)

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Age-dependent population dynamics diffusive systems

Discrete and Continuous Dynamical Systems - Series B  Volume 4, Issue 4, Pages : 1233 - 1247, 2004

Bedr'Eddine Ainseba - (email)

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54

Travelling waves for solid-gas reaction-diffusion systems

DCDS Supplements  Volume 2003, Issue Special, Pages : 872 - 879, 2003

C. van der Mee - (email), Stella Vernier Piro - (email)

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