Analysis of a discrete-time predator–prey system with Allee effect

This paper deals with a discrete-time predator–prey system with Allee effect. We obtain asymptotically stable conditions of the equilibrium points which are subject to the Allee effect. The stabilizing effect of Allee effect on prey and predator populations is studied, respectively. The Allee effect...

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Bibliographic Details
Published inEcological complexity Vol. 8; no. 1; pp. 81 - 85
Main Authors Wang, Wan-Xiong, Zhang, Yan-Bo, Liu, Chang-zhong
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.03.2011
Subjects
Allee effect
Chaos
Population dynamics
predator-prey relationships
Predator–prey system
Stability analysis
Chaos
Predator–prey system
Stability analysis
Allee effect
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ISSN1476-945X
DOI10.1016/j.ecocom.2010.04.005

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Summary:This paper deals with a discrete-time predator–prey system with Allee effect. We obtain asymptotically stable conditions of the equilibrium points which are subject to the Allee effect. The stabilizing effect of Allee effect on prey and predator populations is studied, respectively. The Allee effect which occurs on both of predator and prey populations is also discussed by stability analysis, phase-plane and bifurcation diagram analysis. Our study suggests that Allee effect has stabilizing effect on population dynamics.
Bibliography:http://dx.doi.org/10.1016/j.ecocom.2010.04.005
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ISSN:1476-945X
DOI:10.1016/j.ecocom.2010.04.005