Segregation and pursuit waves in activator-inhibitor systems
Méndez López, Vicenç (Universitat Autònoma de Barcelona. Departament de Física)
Horsthemke, Werner (Southern Methodist University. Department of Chemistry)
Zemskov, Evgeny P. (Russian Academy of Sciences. Computing Centre)
Casas Vázquez, José (Universitat Autònoma de Barcelona. Departament de Física)

Date:	2007
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.
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Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Published in:	Physical review. E : Statistical, nonlinear, and soft matter physics, Vol. 76, Number 4 (October 2007) , p. 046222/1-046222/6, ISSN 1539-3755

DOI: 10.1103/PhysRevE.76.046222

6 p, 156.9 KB

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