Mathematical model for the control of a pest population with impulsive perturbations on diseased pest |
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| Authors: | Xia Wang Youde Tao Xinyu Song |
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| Affiliation: | 1. College of Mathematics and Information Sciences, Xinyang Normal University, Xinyang, Henan 464000, PR China;2. Beijing Institute of Information Control, Beijing 100037, PR China |
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| Abstract: | In this paper, a stage-structured pest management SI model with impulsive perturbations on infected pest is introduced. Sufficient conditions of the global attractivity of pest-extinction periodic solution and permanence of the system are obtained. We also prove that all solutions of system are uniformly ultimately bounded. |
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| Keywords: | Stage-structured Time delay Impulsive Permanence Pest-extinction |
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