Permanence and stability of a predator-prey system with stage structure for predator

Authors:
Liming Cai;Xinyu Song
Affiliations:
Department of Mathematics, Xinyang Normal University, Xinyang 464000, Henan, PR China and Beijing Institute of Information and Control, Beijing 100037, PR China;Department of Mathematics, Xinyang Normal University, Xinyang 464000, Henan, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2007

Citing 2
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Abstract

A stage-structured predator-prey system with delays for prey and predator, respectively, is proposed and analyzed. Mathematical analysis of the model equations with regard to boundedness of solutions, permanence and stability are analyzed. Some sufficient conditions which guarantee the permanence of the system and the global asymptotic stability of the boundary and positive equilibrium, respectively, are obtained.