<p>Modeling of spatialtemporal migration for closely related species</p>

Budyanski A.V.; Tsybulin V.G.

Issue 4, 2011 Vol. 3

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Modeling of spatialtemporal migration for closely related species

Budyanski A.V., Tsybulin V.G.

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We consider a model of populations that are closely related and share a common areal. System of nonlinear parabolic equations is formulated that incorporates nonlinear diffusion and migration flows induced by nonuniform densities of population and carrying capacity. We employ the method of lines and study the impact of migration on scenarios of local competition and coexistence of species. Conditions on system parameters are determined when a nontrivial family of steady states is formed.

Keywords: dynamics of populations, nonlinear parabolic equations

Citation in English: Budyanski A.V., Tsybulin V.G. Modeling of spatialtemporal migration for closely related species // Computer Research and Modeling, 2011, vol. 3, no. 4, pp. 477-488

DOI: 10.20537/2076-7633-2011-3-4-477-488

URL: http://crm-en.ics.org.ru/journal/article/1838/

Computer Research and Modeling - 2011 - Issue 4

This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License.

According to Crossref, this article is cited by:

Lyubov Evgenievna Alpeeva, Vyacheslav Geog Tsybulin. The cosymmetric approach to the analysis of spatial structure of populations with amount of taxis. // Computer Research and Modeling. — 2016. — V. 8, no. 4. — P. 661. DOI: 10.20537/2076-7633-2016-8-4-661-671

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