Permanence and extinction for a nonlinear diffusive predator–prey system

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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Veröffentlicht in:Nonlinear analysis 2009-07, Vol.71 (1), p.399-417
Hauptverfasser: Li, Jinxian, Yan, Jurang
Format: Artikel
Sprache:eng
Schlagworte:
Exact sciences and technology
Extinction
Mathematical analysis
Mathematics
Patch-system
Permanence
Sciences and techniques of general use
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Beschreibung
Zusammenfassung: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