Pattern formation in a nonlocal Fisher - Kolmogorov - Petrovskii - Piskunov model and in a nonlocal kinetic model of the metal vapor active medium
Nonlocal versions of the reaction-diffusion type population equations can describe the evolution of spatio-temporal structures (patterns) depending on the equation parameter domain. Under conditions of weak diffusion, numerical methods were used to compare the processes of spatio-temporal pattern formation in a nonlocal population model described by the generalized one-dimensional Fisher-Kolmogorov-Petrovskii-Piskunov equation with nonlocal competitive losses, and in a two-dimensional nonlocal version of the kinetic model of a quasineutral plasma of metal vapor active media described by the kinetic equation with nonlocal cubic nonlinearity. The effect of relaxation on the pattern formation is studied.
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Keywords
numerical solutions, formation of structures, nonlocal kinetic equation, active optical medium, nonlocal generalized Fisher - Kolmogorov - Petrovsky - Piskunov equationAuthors
| Name | Organization | |
| Shapovalov A.V. | National Research Tomsk State University; Tomsk State University of Control Systems and Radio Electronics | shpv@phys.tsu.ru |
| Kulagin A.E. | National Research Tomsk Polytechnic University; V.E. Zuev Institute of Atmospheric Optics of the Siberian Branch of the Russian Academy of Sciences | aek8@tpu.ru |
| Siniukov S.A. | National Research Tomsk State University | ssaykmh@yandex.ru |
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