Coexistence of a General Elliptic System in Population Dynamics

Michael Pedersen

doi:10.1016/j.camwa.2003.01.016

Coexistence of a General Elliptic System in Population Dynamics

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Abstract

This paper is concerned with a strongly-coupled elliptic system representing a competitive interaction between two species. We give a sufficient condition for the existence of positive solutions. An example is also given to show that there is a coexistence of a steady state if the cross-diffusions or the intraspecific competitions are weak. (C) 2004 Elsevier Ltd. All rights reserved.

Original language	English
Journal	Computers & Mathematics with Applications
Volume	48
Issue number	3-4
Pages (from-to)	617-628
ISSN	0898-1221
DOIs	https://doi.org/10.1016/j.camwa.2003.01.016
Publication status	Published - Aug 2004

Keywords

strongly-coupled elliptic systems
reaction
diffusion
positive solution

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10.1016/j.camwa.2003.01.016

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abstract = "This paper is concerned with a strongly-coupled elliptic system representing a competitive interaction between two species. We give a sufficient condition for the existence of positive solutions. An example is also given to show that there is a coexistence of a steady state if the cross-diffusions or the intraspecific competitions are weak. (C) 2004 Elsevier Ltd. All rights reserved. ",

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AB - This paper is concerned with a strongly-coupled elliptic system representing a competitive interaction between two species. We give a sufficient condition for the existence of positive solutions. An example is also given to show that there is a coexistence of a steady state if the cross-diffusions or the intraspecific competitions are weak. (C) 2004 Elsevier Ltd. All rights reserved.

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KW - diffusion

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Coexistence of a General Elliptic System in Population Dynamics

Abstract

Keywords

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