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Computer Research and Modeling, 2011, Volume 3, Issue 4, Pages 477–488
DOI: https://doi.org/10.20537/2076-7633-2011-3-4-477-488 (Mi crm571) 		 
This article is cited in 4 scientific papers (total in 4 papers)

ANALYSIS AND MODELING OF COMPLEX LIVING SYSTEMS

Modeling of spatial-temporal migration for closely related species

A. V. Budyanskia, V. G. Tsybulinb

a Don State Technical University, 1 Gagarin Square, Rostov-on-Don, 344000, Russia
b Southern Federal University, 8a Milchakova street, Rostov-on-Don, 344090, Russia
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DOI: https://doi.org/10.20537/2076-7633-2011-3-4-477-488
Abstract: 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.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 2.1.1/6095
Russian Foundation for Basic Research 11-01-00708
Received: 15.11.2011
Document Type: Article
UDC: 519.63
Language: Russian
Citation: A. V. Budyanski, V. G. Tsybulin, “Modeling of spatial-temporal migration for closely related species”, Computer Research and Modeling, 3:4 (2011), 477–488
Citation in format AMSBIB
\Bibitem{BudTsy11}
\by A.~V.~Budyanski, V.~G.~Tsybulin
\paper Modeling of spatial-temporal migration for closely related species
\jour Computer Research and Modeling
\yr 2011
\vol 3
\issue 4
\pages 477--488
\mathnet{http://mi.mathnet.ru/crm571}
\crossref{https://doi.org/10.20537/2076-7633-2011-3-4-477-488}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Computer Research and Modeling
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