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Coexistence of three species in a strongly coupled elliptic system SCIE SCOPUS

Title
Coexistence of three species in a strongly coupled elliptic system
Authors
Kim, KILin, ZG
Date Issued
2003-11
Publisher
PERGAMON-ELSEVIER SCIENCE LTD
Abstract
A strongly coupled elliptic system which describes three interacting species, with homogeneous Dirichlet boundary conditions is considered. It is shown that there is no coexistence state if diffusion rates are strong, or if the intrinsic growth rates are slow. Making use of the Schauder fixed point theory, we derive some sufficient conditions to have a semi-coexistence or a coexistence state for the strongly coupled elliptic problem. Moreover, our results reveal that this problem possesses at least one coexistence state if cross-diffusions and intra-specific competitions are weak. (C) 2003 Elsevier Ltd. All rights reserved.
Keywords
strongly coupled elliptic systems; diffusion; competition; coexistence; CROSS-DIFFUSION; COMPETITION MODEL; EQUATIONS
URI
https://oasis.postech.ac.kr/handle/2014.oak/29789
DOI
10.1016/S0362-546X(0
ISSN
0362-546X
Article Type
Article
Citation
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, vol. 55, no. 3, page. 313 - 333, 2003-11
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김광익KIM, KWANG IK
Dept of Mathematics
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