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A stage-structured predator–prey model with disturbing pulse and time delays
Authors:Xinyu Song  Meiying Hao  Xinzhu Meng
Institution:1. Department of Mathematics, Xinyang Normal University, Xinyang 464000, Henan, PR China;2. College of Mathematics and Information Science, Henan University, Kaifeng 475001, Henan, PR China;3. College of Science, Shandong University of Science and Technology, Qingdao 266510, PR China
Abstract:In this article we propose a stage-structured predator–prey model with disturbing pulse and time delays and obtain the sufficient conditions for the global attractivity of predator-eradiation periodic solution and permanence of the system. We also show that time delay, pulse catching rate and the period of pulsing can affect the dynamics of the system.
Keywords:Permanence  Predator&ndash  prey model  Stage structure  Delay  Global attractivity
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