Influence of the Environment on Pattern Formation in the One-Dimensional Nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov Model

A. V. Shapovalov, V. V. Obukhov

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)1093-1099
Number of pages7
JournalRussian Physics Journal
Volume61
Issue number6
DOIs
Publication statusPublished - 1 Oct 2018

Keywords

  • nonlocal generalized Fisher–Kolmogorov–Petrovskii–Piskunov equation
  • pattern formation
  • selfconsistent model

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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