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

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

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

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16

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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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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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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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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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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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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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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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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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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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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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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31

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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32

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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33

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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34

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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35

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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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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38

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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40

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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41

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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42

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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43

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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44

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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