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On the uniqueness and ordering of steady states of predator-prey systems

Published online by Cambridge University Press:  14 November 2011

Lige Li
Lige Li
Affiliation:
Department of Mathematics, Kansas State University, Manhattan, KS 66506, U.S.A.
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Synopsis

This paper discusses the relationship between the uniqueness and the ordering of strictly positive solutions of elliptic predator-prey interacting systems. If (ū, v) and (u#, v#) are two such solutions with ū ≧ u# or v ≧ v#, then ū ≡= u#, v ≡v#. When the positive solutions are numerically close to the extreme case, the solution is unique.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 110 , Issue 3-4 , 1988 , pp. 295 - 303
Copyright
Copyright © Royal Society of Edinburgh 1988

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