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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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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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Asymptotics for ruin probabilities in Lévy-driven risk models with heavy-tailed claims

Journal of Industrial and Management Optimization  Volume 13, Issue 2, Pages : 44 - 44, 2017

Yang Yang - (email), Kam C. Yuen - (email), Jun-Feng Liu - (email)

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Variational properties and linear stabilities of spatial isosceles orbits in the equal-mass three-body problem

Discrete and Continuous Dynamical Systems  Volume 37, Issue 7, Pages : 3989 - 4018, 2017

Tiancheng Ouyang - (email), Duokui Yan - (email)

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Traveling wave solutions in a diffusive producer-scrounger model

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 2, Pages : 627 - 645, 2016

Junhao Wen - (email), Peixuan Weng - (email)

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Equipartition of energy for nonautonomous wave equations

Discrete and Continuous Dynamical Systems - Series S  Volume 10, Issue 1, Pages : 75 - 85, 2016

Gisèle Ruiz Goldstein - (email), Jerome A. Goldstein - (email), Fabiana Travessini De Cezaro - (email)

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Discrete spin systems on random lattices at the bulk scaling

Discrete and Continuous Dynamical Systems - Series S  Volume 10, Issue 1, Pages : 101 - 117, 2016

Marco Cicalese - (email), Matthias Ruf - (email)

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Analytic results for the linear stability of the equilibrium point in Robe's restricted elliptic three-body problem

Discrete and Continuous Dynamical Systems  Volume 37, Issue 3, Pages : 1763 - 1787, 2016

Qinglong Zhou - (email), Yongchao Zhang - (email)

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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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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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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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12

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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Coupling the shallow water equation with a long term dynamics of sand dunes

Discrete and Continuous Dynamical Systems - Series S  Volume 9, Issue 5, Pages : 1521 - 1551, 2016

Mouhamadou Aliou M. T. Baldé - (email), Diaraf Seck - (email)

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Linear stability of the criss-cross orbit in the equal-mass three-body problem

Discrete and Continuous Dynamical Systems  Volume 36, Issue 11, Pages : 5971 - 5991, 2016

Xiaojun Chang - (email), Tiancheng Ouyang - (email), Duokui Yan - (email)

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One-dimensional aggregation equation after blow up: Existence, uniqueness and numerical simulation

Networks and Heterogeneous Media  Volume 11, Issue 1, Pages : 163 - 180, 2016

François James - (email), Nicolas Vauchelet - (email)

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Subexponential growth rates in functional differential equations

DCDS Supplements  Volume 2015, Issue special, Pages : 56 - 65, 2015

John A. D. Appleby - (email), Denis D. Patterson - (email)

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Spectral stability analysis for standing waves of a perturbed Klein-Gordon equation

DCDS Supplements  Volume 2015, Issue special, Pages : 359 - 368, 2015

Aslihan Demirkaya - (email), Panayotis G. Kevrekidis - (email), Milena Stanislavova - (email), Atanas Stefanov - (email)

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Equivalence between duality and gradient flow solutions for one-dimensional aggregation equations

Discrete and Continuous Dynamical Systems  Volume 36, Issue 3, Pages : 1355 - 1382, 2015

François James - (email), Nicolas Vauchelet - (email)

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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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20

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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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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Monotonicity, asymptotics and uniqueness of travelling wave solution of a non-local delayed lattice dynamical system

Discrete and Continuous Dynamical Systems  Volume 35, Issue 10, Pages : 5107 - 5131, 2015

Zhaoquan Xu - (email), Jiying Ma - (email)

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Asymptotics for random-time ruin probability in a time-dependent renewal risk model with subexponential claims

Journal of Industrial and Management Optimization  Volume 12, Issue 1, Pages : 31 - 43, 2015

Qingwu Gao - (email), Zhongquan Huang - (email), Houcai Shen - (email), Juan Zheng - (email)

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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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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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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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Stability of the rhomboidal symmetric-mass orbit

Discrete and Continuous Dynamical Systems  Volume 35, Issue 1, Pages : 1 - 23, 2014

Lennard Bakker - (email), Skyler Simmons - (email)

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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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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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30

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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Confinement for repulsive-attractive kernels

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 5, Pages : 1227 - 1248, 2014

Daniel Balagué - (email), José A. Carrillo - (email), Yao Yao - (email)

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32

Inhomogeneous Patlak-Keller-Segel models and aggregation equations with nonlinear diffusion in $\mathbb{R}^d$

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 5, Pages : 1279 - 1309, 2014

Jacob Bedrossian - (email), Nancy Rodríguez - (email)

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33

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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34

On numerical approximation of the Hamilton-Jacobi-transport system arising in high frequency approximations

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 3, Pages : 629 - 650, 2014

Yves Achdou - (email), Fabio Camilli - (email), Lucilla Corrias - (email)

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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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36

On Landau-Lifshitz equations of no-exchange energy models in ferromagnetics

Evolution Equations and Control Theory  Volume 2, Issue 4, Pages : 599 - 620, 2013

Wei Deng - (email), Baisheng Yan - (email)

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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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38

From particles scale to anomalous or classical convection-diffusion models with path integrals

Discrete and Continuous Dynamical Systems - Series S  Volume 7, Issue 2, Pages : 207 - 238, 2013

Catherine Choquet - (email), Marie-Christine Néel - (email)

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Existence and linear stability of solutions of the ballistic VSC model

Discrete and Continuous Dynamical Systems - Series S  Volume 7, Issue 1, Pages : 35 - 51, 2013

Joost Hulshof - (email), Robert Nolet - (email), Georg Prokert - (email)

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40

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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41

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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42

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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43

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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44

Asymptotics of blowup solutions for the aggregation equation

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 4, Pages : 1309 - 1331, 2012

Yanghong Huang - (email), Andrea Bertozzi - (email)

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45

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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46

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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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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Uniform estimates for ruin probabilities in the renewal risk model with upper-tail independent claims and premiums

Journal of Industrial and Management Optimization  Volume 7, Issue 4, Pages : 849 - 874, 2011

Yinghua Dong - (email), Yuebao Wang - (email)

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Asymptotics for a generalized Cahn-Hilliard equation with forcing terms

Discrete and Continuous Dynamical Systems  Volume 30, Issue 4, Pages : 1037 - 1054, 2011

Dimitra Antonopoulou - (email), Georgia Karali - (email), Georgios T. Kossioris - (email)

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Finite to infinite steady state solutions, bifurcations of an integro-differential equation

Discrete and Continuous Dynamical Systems - Series B  Volume 16, Issue 1, Pages : 57 - 71, 2011

Samir K. Bhowmik - (email), Dugald B. Duncan - (email), Michael Grinfeld - (email), Gabriel J. Lord - (email)

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Boundary stabilizability of the linearized viscous Saint-Venant system

Discrete and Continuous Dynamical Systems - Series B  Volume 15, Issue 3, Pages : 491 - 511, 2011

Hassen Arfaoui - (email), Faker Ben Belgacem - (email), Henda El Fekih - (email), Jean-Pierre Raymond - (email)

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52

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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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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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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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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Traveling wave solutions for a reaction diffusion equation with double degenerate nonlinearities

Discrete and Continuous Dynamical Systems  Volume 26, Issue 1, Pages : 265 - 290, 2009

Xiaojie Hou - (email), Yi Li - (email), Kenneth R. Meyer - (email)

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Estimating thermal insulating ability of anisotropic coatings via Robin eigenvalues and eigenfunctions

Discrete and Continuous Dynamical Systems  Volume 25, Issue 3, Pages : 1061 - 1079, 2009

Guojing Zhang - (email), Steve Rosencrans - (email), Xuefeng Wang - (email), Kaijun Zhang - (email)

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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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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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Systems of coupled diffusion equations with degenerate nonlinear source terms: Linear stability and traveling waves

Discrete and Continuous Dynamical Systems  Volume 23, Issue 1/2, Pages : 561 - 569, 2008

Jonathan J. Wylie - (email), Huaxiong Huang - (email), Robert M. Miura - (email)

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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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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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Asymptotic behavior of size-structured populations via juvenile-adult interaction

Discrete and Continuous Dynamical Systems - Series B  Volume 9, Issue 2, Pages : 249 - 266, 2007

József Z. Farkas - (email), Thomas Hagen - (email)

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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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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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The gate to body capacitance of a MOSFET by asymptotic analysis

Discrete and Continuous Dynamical Systems - Series B  Volume 7, Issue 3, Pages : 527 - 541, 2007

Ellis Cumberbatch - (email), Hedley Morris - (email)

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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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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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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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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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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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Branches of periodic orbits for the planar restricted 3-body problem

Discrete and Continuous Dynamical Systems  Volume 11, Issue 4, Pages : 745 - 755, 2004

Gianni Arioli - (email)

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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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Long-time averaging for some conservative PDEs having quadratic nonlinearities

Discrete and Continuous Dynamical Systems  Volume 11, Issue 1, Pages : 221 - 233, 2004

Steve Schochet - (email)

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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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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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Stability of stationary solutions of the forced Navier-Stokes equations on the two-torus

Discrete and Continuous Dynamical Systems - Series B  Volume 2, Issue 4, Pages : 483 - 494, 2002

Chuong V. Tran - (email), Theodore G. Shepherd - (email), Han-Ru Cho - (email)

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The problem Of blow-up in nonlinear parabolic equations

Discrete and Continuous Dynamical Systems  Volume 8, Issue 2, Pages : 399 - 433, 2002

Victor A. Galaktionov - (email), Juan-Luis Vázquez - (email)

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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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Asymptotic results for super-Brownian motions and semilinear differential equations

Electronic Research Announcements of the AMS  Volume 4, Issue 0, Pages : 56 - 62,

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