Bifurcation Approach to Analysis of Travelling Waves in Some Taxis–Cross-Diffusion Models

DOI10.1051/MMNP/20138309zbMath1343.34093OpenAlexW1996297177MaRDI QIDQ2843427

Faina Berezovskaya, Georgiy P. Karev

Publication date: 22 August 2013

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/mmnp/20138309

zbMATH Keywords

bifurcation diagramtraveling wave solutionscross-diffusionKeller-Segel modelwave systemFitzhugh-Nagumo equationstaxis

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Neural biology (92C20) Bifurcation theory for ordinary differential equations (34C23) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Cell movement (chemotaxis, etc.) (92C17) Traveling wave solutions (35C07)

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Traveling Waves Impulses of FitzHugh Model with Diffusion and Cross-Diffusion

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