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