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Bifurcation and spatiotemporal patterns in a Bazykin predator-prey model with self and cross diffusion and Beddington-DeAngelis response

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 1, Pages : 2 - 2, 2016

Eric Avila-Vales - (email), Gerardo García-Almeida - (email), Erika Rivero-Esquivel - (email)

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Effect of cross-diffusion in the diffusion prey-predator model with a protection zone

Discrete and Continuous Dynamical Systems  Volume 37, Issue 3, Pages : 1539 - 1558, 2016

Shanbing Li - (email), Jianhua Wu - (email)

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On existence of wavefront solutions in mixed monotone reaction-diffusion systems

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 3, Pages : 815 - 836, 2016

Wei Feng - (email), Weihua Ruan - (email), Xin Lu - (email)

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The reaction-diffusion system for an SIR epidemic model with a free boundary

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 7, Pages : 2039 - 2050, 2015

Haomin Huang - (email), Mingxin Wang - (email)

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The spreading fronts in a mutualistic model with advection

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 7, Pages : 2089 - 2105, 2015

Mei Li - (email), Zhigui Lin - (email)

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Homogenization of a thermo-diffusion system with Smoluchowski interactions

Networks and Heterogeneous Media  Volume 9, Issue 4, Pages : 739 - 762, 2014

Oleh Krehel - (email), Toyohiko Aiki - (email), Adrian Muntean - (email)

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Existence and multiplicity of segregated solutions to a cell-growth contact inhibition problem

Discrete and Continuous Dynamical Systems  Volume 35, Issue 4, Pages : 1479 - 1501, 2014

Gonzalo Galiano - (email), Sergey Shmarev - (email), Julian Velasco - (email)

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Avoidance behavior in intraguild predation communities: A cross-diffusion model

Discrete and Continuous Dynamical Systems  Volume 35, Issue 4, Pages : 1641 - 1663, 2014

Daniel Ryan - (email), Robert Stephen Cantrell - (email)

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Controllability to trajectories for some parabolic systems of three and two equations by one control force

Mathematical Control and Related Fields  Volume 4, Issue 1, Pages : 17 - 44, 2013

Assia Benabdallah - (email), Michel Cristofol - (email), Patricia Gaitan - (email), Luz de Teresa - (email)

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Positive steady states for a prey-predator cross-diffusion system with a protection zone and Holling type II functional response

DCDS Supplements  Volume 2013, Issue special, Pages : 597 - 603, 2013

Kazuhiro Oeda - (email)

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Spatially heterogeneous invasion of toxic plant mediated by herbivory

Mathematical Biosciences and Engineering  Volume 10, Issue 5/6, Pages : 1519 - 1538, 2013

Zhilan Feng - (email), Wenzhang Huang - (email), Donald L. DeAngelis - (email)

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12

Graph-theoretic conditions for zero-eigenvalue Turing instability in general chemical reaction networks

Mathematical Biosciences and Engineering  Volume 10, Issue 4, Pages : 1207 - 1226, 2013

Maya Mincheva - (email), Gheorghe Craciun - (email)

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Effect of boundary conditions on the dynamics of a pulse solution for reaction-diffusion systems

Networks and Heterogeneous Media  Volume 8, Issue 1, Pages : 191 - 209, 2013

Shin-Ichiro Ei - (email), Toshio Ishimoto - (email)

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Finite element approximation of a population spatial adaptation model

Mathematical Biosciences and Engineering  Volume 10, Issue 3, Pages : 637 - 647, 2013

Gonzalo Galiano - (email), Julián Velasco - (email)

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Calcium waves with mechano-chemical couplings

Mathematical Biosciences and Engineering  Volume 10, Issue 3, Pages : 743 - 759, 2013

Bogdan Kazmierczak - (email), Zbigniew Peradzynski - (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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Characterization of turing diffusion-driven instability on evolving domains

Discrete and Continuous Dynamical Systems  Volume 32, Issue 11, Pages : 3975 - 4000, 2012

Georg Hetzer - (email), Anotida Madzvamuse - (email), Wenxian Shen - (email)

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The structure of the quiescent core in rigidly rotating spirals in a class of excitable systems

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 6, Pages : 1605 - 1638, 2012

Maria Aguareles - (email), Marco A. Fontelos - (email), Juan J. Velázquez - (email)

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On sufficient conditions for a linearly determinate spreading speed

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 6, Pages : 2267 - 2280, 2012

Hans Weinberger - (email)

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20

Existence of traveling waves with transition layers for some degenerate cross-diffusion systems

Communications on Pure and Applied Analysis  Volume 11, Issue 3, Pages : 911 - 934, 2011

Yanxia Wu - (email), Yaping Wu - (email)

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A note on the replicator equation with explicit space and global regulation

Mathematical Biosciences and Engineering  Volume 8, Issue 3, Pages : 659 - 676, 2011

Alexander S. Bratus - (email), Vladimir P. Posvyanskii - (email), Artem S. Novozhilov - (email)

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22

Turing instability in a coupled predator-prey model with different Holling type functional responses

Discrete and Continuous Dynamical Systems - Series S  Volume 4, Issue 6, Pages : 1621 - 1628, 2010

Zhifu Xie - (email)

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Trajectory attractor for reaction-diffusion system with diffusion coefficient vanishing in time

Discrete and Continuous Dynamical Systems  Volume 27, Issue 4, Pages : 1493 - 1509, 2010

Vladimir V. Chepyzhov - (email), Mark I. Vishik - (email)

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Explosive behavior in spatially discrete reaction-diffusion systems

Discrete and Continuous Dynamical Systems - Series B  Volume 12, Issue 4, Pages : 693 - 711, 2009

Ana Carpio - (email), Gema Duro - (email)

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Energy estimates for electro-reaction-diffusion systems with partly fast kinetics

Discrete and Continuous Dynamical Systems  Volume 25, Issue 1, Pages : 159 - 174, 2009

Annegret Glitzky - (email)

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On a constrained reaction-diffusion system related to multiphase problems

Discrete and Continuous Dynamical Systems  Volume 25, Issue 1, Pages : 299 - 319, 2009

José-Francisco Rodrigues - (email), Lisa Santos - (email)

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Global existence and internal stabilization for a reaction-diffusion system posed on non coincident spatial domains

Discrete and Continuous Dynamical Systems - Series B  Volume 11, Issue 4, Pages : 805 - 822, 2009

Sebastian Aniţa - (email), William Edward Fitzgibbon - (email), Michel Langlais - (email)

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"Traveling wave'' solutions of Fitzhugh model with cross-diffusion

Mathematical Biosciences and Engineering  Volume 5, Issue 2, Pages : 239 - 260, 2008

F. Berezovskaya - (email), Erika Camacho - (email), Stephen Wirkus - (email), Georgy Karev - (email)

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29

Modelling of wettability alteration processes in carbonate oil reservoirs

Networks and Heterogeneous Media  Volume 3, Issue 1, Pages : 149 - 183, 2008

Liping Yu - (email), Hans Kleppe - (email), Terje Kaarstad - (email), Svein M. Skjaeveland - (email), Steinar Evje - (email), Ingebret Fjelde - (email)

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30

Finite traveling wave solutions in a degenerate cross-diffusion model for bacterial colony

Communications on Pure and Applied Analysis  Volume 6, Issue 4, Pages : 1145 - 1165, 2007

Peng Feng - (email), Zhengfang Zhou - (email)

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Periodic solutions for a 3x 3 competitive system with cross-diffusion

Discrete and Continuous Dynamical Systems  Volume 15, Issue 3, Pages : 725 - 746, 2006

Salomé Martínez - (email), Wei-Ming Ni - (email)

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32

On a nonlinear parabolic system-modeling chemical reactions in rivers

Communications on Pure and Applied Analysis  Volume 4, Issue 4, Pages : 889 - 899, 2005

Wenxiong Chen - (email), Congming Li - (email), Eric S. Wright - (email)

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33

Stability and pattern in two-patch predator-prey population dynamics

DCDS Supplements  Volume 2005, Issue Special, Pages : 268 - 279, 2005

Wei Feng - (email), Jody Hinson - (email)

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34

Coexistence states for a prey-predator model with cross-diffusion

DCDS Supplements  Volume 2005, Issue Special, Pages : 536 - 545, 2005

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

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35

Global existence of solutions to a cross-diffusion system in higher dimensional domains

Discrete and Continuous Dynamical Systems  Volume 12, Issue 2, Pages : 185 - 192, 2004

Yi Li - (email), Chunshan Zhao - (email)

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36

A global variational structure and propagation of disturbances in reaction-diffusion systems of gradient type

Discrete and Continuous Dynamical Systems - Series B  Volume 4, Issue 4, Pages : 867 - 892, 2004

C.B. Muratov - (email)

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37

Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with strongly coupled cross-diffusion

Discrete and Continuous Dynamical Systems  Volume 10, Issue 3, Pages : 719 - 730, 2004

Y. S. Choi - (email), Roger Lui - (email), Yoshio Yamada - (email)

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38

On a limiting system in the Lotka--Volterra competition with cross-diffusion

Discrete and Continuous Dynamical Systems  Volume 10, Issue 1/2, Pages : 435 - 458, 2003

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

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39

Formally gradient reaction-diffusion systems in Rn have zero spatio-temporal topological

DCDS Supplements  Volume 2003, Issue Special, Pages : 960 - 966, 2003

Zelik S. - (email)

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40

Positive solutions for a class of reaction-diffusion systems

Communications on Pure and Applied Analysis  Volume 2, Issue 1, Pages : 65 - 76, 2002

A. Dall'Acqua - (email)

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41

Global periodicity in a class of reaction-diffusion systems with time delays

Discrete and Continuous Dynamical Systems - Series B  Volume 3, Issue 1, Pages : 69 - 78, 2002

Wei Feng - (email), Xin Lu - (email)

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42

Torsion numbers, a tool for the examination of symmetric reaction-diffusion systems related to oscillation numbers

Discrete and Continuous Dynamical Systems  Volume 4, Issue 4, Pages : 691 - 708, 1998

Matthias Büger - (email)

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43

On the global existence of a cross-diffusion system

Discrete and Continuous Dynamical Systems  Volume 4, Issue 2, Pages : 193 - 203, 1998

Yuan Lou - (email), Wei-Ming Ni - (email), Yaping Wu - (email)

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44

Pattern formation in reaction-diffusion systems with $D_2$-symmetric kinetics

Discrete and Continuous Dynamical Systems  Volume 2, Issue 2, Pages : 255 - 270, 1996

Joseph G. Yan - (email), Dong-Ming Hwang - (email)

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