Numerical simulation of the one-dimensional population dynamics with nonlocal competitive losses and convection

Abstract

Numerical solutions of the generalized one-dimensional Fisher-Kolmogorov-Petrovskii-Piskunov equation with nonlocal competitive losses and convection are constructed. The influence function for nonlocal losses is chosen in the form of a Gaussian distribution. The effect of convection on the dynamics of the spatially inhomogeneous distribution of the population density is investigated.

Original language	English
Pages (from-to)	479-484
Number of pages	6
Journal	Russian Physics Journal
Volume	54
Issue number	4
DOIs	https://doi.org/10.1007/s11182-011-9642-z
Publication status	Published - Sep 2011
Externally published	Yes

Keywords

convection-reaction-diffusion equations
dissipative structures
nonlocal competitive losses

ASJC Scopus subject areas

Physics and Astronomy(all)

Access to Document

10.1007/s11182-011-9642-z

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title = "Numerical simulation of the one-dimensional population dynamics with nonlocal competitive losses and convection",

abstract = "Numerical solutions of the generalized one-dimensional Fisher-Kolmogorov-Petrovskii-Piskunov equation with nonlocal competitive losses and convection are constructed. The influence function for nonlocal losses is chosen in the form of a Gaussian distribution. The effect of convection on the dynamics of the spatially inhomogeneous distribution of the population density is investigated.",

keywords = "convection-reaction-diffusion equations, dissipative structures, nonlocal competitive losses",

author = "Aleutdinova, {V. A.} and Borisov, {A. V.} and Shaparev, {V. {\'E}} and Shapovalov, {A. V.}",

year = "2011",

month = sep,

doi = "10.1007/s11182-011-9642-z",

language = "English",

volume = "54",

pages = "479--484",

journal = "Russian Physics Journal",

issn = "1064-8887",

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AU - Aleutdinova, V. A.

AU - Borisov, A. V.

AU - Shaparev, V. É

AU - Shapovalov, A. V.

PY - 2011/9

Y1 - 2011/9

N2 - Numerical solutions of the generalized one-dimensional Fisher-Kolmogorov-Petrovskii-Piskunov equation with nonlocal competitive losses and convection are constructed. The influence function for nonlocal losses is chosen in the form of a Gaussian distribution. The effect of convection on the dynamics of the spatially inhomogeneous distribution of the population density is investigated.

AB - Numerical solutions of the generalized one-dimensional Fisher-Kolmogorov-Petrovskii-Piskunov equation with nonlocal competitive losses and convection are constructed. The influence function for nonlocal losses is chosen in the form of a Gaussian distribution. The effect of convection on the dynamics of the spatially inhomogeneous distribution of the population density is investigated.

KW - convection-reaction-diffusion equations

KW - dissipative structures

KW - nonlocal competitive losses

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