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Permanence and stability of a predator–prey system with stage structure for predator
Authors:Liming Cai  Xinyu Song
Affiliation:1. Department of Mathematics, Xinyang Normal University, Xinyang 464000, Henan, PR China;2. Beijing Institute of Information and Control, Beijing 100037, PR China
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.
Keywords:34C25   92D25   34D20
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