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Coexistence of three species in a strongly coupled elliptic system

✍ Scribed by Kwang Ik Kim; Zhigui Lin

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
216 KB
Volume
55
Category
Article
ISSN
0362-546X

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✦ Synopsis

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 di usion rates are strong, or if the intrinsic growth rates are slow. Making use of the Schauder ΓΏxed point theory, we derive some su cient 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-di usions and intra-speciΓΏc competitions are weak.

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