Dispersal permanence of a periodic predator–prey system with Beddington–DeAngelis functional response

In this paper we study the permanence of a class of periodic predator–prey system where the prey disperses in patchy environment with two patches. We assume the Beddington–DeAngelis functional response within-patch dynamics and provide a sufficient and necessary condition to guarantee the predator a...

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Veröffentlicht in:	Nonlinear analysis 2006-02, Vol.64 (3), p.440-456
1. Verfasser:	Cui, Jing’an
Format:	Artikel
Sprache:	eng
Schlagworte:	Beddington–DeAngelis functional response Biological and medical sciences Dispersal Exact sciences and technology Fundamental and applied biological sciences. Psychology General aspects Global analysis, analysis on manifolds Mathematical analysis Mathematics Mathematics in biology. Statistical analysis. Models. Metrology. Data processing in biology (general aspects) Ordinary differential equations Permanence Predator–prey system Sciences and techniques of general use Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
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Zusammenfassung:	In this paper we study the permanence of a class of periodic predator–prey system where the prey disperses in patchy environment with two patches. We assume the Beddington–DeAngelis functional response within-patch dynamics and provide a sufficient and necessary condition to guarantee the predator and prey species to be permanent.
ISSN:	0362-546X 1873-5215
DOI:	10.1016/j.na.2005.06.022