Segregation and pursuit waves in activator-inhibitor systems

Vicenç Méndez, Werner Horsthemke, Evgeny P. Zemskov, José Casas-Vázquez

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3 Citations (Scopus)

Abstract

We investigate the effects of cross-diffusion on propagating waves in an activator-inhibitor system. The model consists of a piecewise linear approximation of FitzHugh-Nagumo kinetics and a cross-diffusion term for either the activator or the inhibitor. We obtain exact analytic solutions for traveling fronts and solitary pulses and discuss the corresponding speed diagrams. A detailed comparison with the corresponding Rinzel-Keller model for the usually studied case of self-diffusion is performed. © 2007 The American Physical Society.
Original languageEnglish
Article number046222
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume76
DOIs
Publication statusPublished - 25 Oct 2007

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