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Influence of the environment on pattern formation in the one-dimensional nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov model A. V. Shapovalov, V. V. Obukhov

By: Shapovalov, Alexander VContributor(s): Obukhov, Valery V, 1952-Material type: ArticleArticleSubject(s): Фишера-Колмогорова-Петровского-Пискунова нелокальное обобщенное уравнение | компьютерное моделирование | Тьюринга машинаGenre/Form: статьи в журналах Online resources: Click here to access online In: Russian physics journal Vol. 61, № 6. P. 1093-1099Abstract: A self-consistent model of the dynamics of a cellular population described by the generalized Fisher–Kolmogorov–Petrovskii–Piskunov equation with nonlocal competitive losses and interaction with the environment is formulated, in which the dynamics is described by the diffusion equation with allowance for the interaction of the population and the environment. With the help of computer modeling, the formation of the population pattern under the influence of the environment is considered. Possible applications of the model and its generalizations are discussed.
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Библиогр.: 26 назв.

A self-consistent model of the dynamics of a cellular population described by the generalized Fisher–Kolmogorov–Petrovskii–Piskunov equation with nonlocal competitive losses and interaction with the environment is formulated, in which the dynamics is described by the diffusion equation with allowance for the interaction of the population and the environment. With the help of computer modeling, the formation of the population pattern under the influence of the environment is considered. Possible applications of the model and its generalizations are discussed.

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