Segregation and pursuit waves in activator-inhibitor systems.

نویسندگان

  • Vicenç Méndez
  • Werner Horsthemke
  • Evgeny P Zemskov
  • José Casas-Vázquez
چکیده

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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عنوان ژورنال:
  • Physical review. E, Statistical, nonlinear, and soft matter physics

دوره 76 4 Pt 2  شماره 

صفحات  -

تاریخ انتشار 2007