Permanence and extinction for a nonlinear diffusive predator–prey system

In this paper, we consider a non-autonomous predator–prey system in a poor patchy environment. Under the assumption that the intrinsic growth rates of the species may be negative, sufficient conditions are obtained for the permanence and extinction of the system considered.

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Bibliographic Details
Published in:Nonlinear analysis 2009-07, Vol.71 (1), p.399-417
Main Authors: Li, Jinxian, Yan, Jurang
Format: Article
Language:English
Subjects:
Exact sciences and technology
Extinction
Mathematical analysis
Mathematics
Patch-system
Permanence
Sciences and techniques of general use
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Description
Summary:In this paper, we consider a non-autonomous predator–prey system in a poor patchy environment. Under the assumption that the intrinsic growth rates of the species may be negative, sufficient conditions are obtained for the permanence and extinction of the system considered.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2008.10.087