Solutions of a generalized Fisher-Kolmogorov-Petrovskii-Piskunov equation for a nonlocal interaction of finite radius have been constructed for initial conditions with one and two localization centers by using numerical methods. The dynamics depends on the choice of the equation parameters and initial conditions. The processes of formation and interaction of the rings expanding from each of the two localization centers and the formation of dissipative structures are considered.
- bacterial colonies
- dissipative structures
- equations of the "reaction-diffusion" type
ASJC Scopus subject areas
- Physics and Astronomy(all)