Segregation and pursuit waves in activator-inhibitor systems.
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.
Méndez
Vicenç
V
Grup de Física Estadística, Departament de Física, Facultat de Ciències, Edicifi Cc. Universitat Autònoma de Barcelona, E-08193 Bellaterra (Barcelona), Spain.
Horsthemke
Werner
W
Zemskov
Evgeny P
EP
Casas-Vázquez
José
J