Impulsive control strategy of a pest management SI model with nonlinear incidence rate |
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| Authors: | Jian-jun Jiao Lan-sun Chen Shao-hong Cai |
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| Institution: | 1. Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, People’s Republic of China;2. School of Mathematics and Statistics, Guizhou College of Finance and Economics, Guiyang 550004, People’s Republic of China;3. Guizhou College of Finance and Economics, Guiyang 550004, People’s Republic of China |
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| Abstract: | In this work, we consider a pest management SI model with impulsive release of infective pests and spraying pesticides. We prove that all solutions of the investigated system are uniformly ultimately bounded and the pest-extinction periodic solution is globally asymptotically stable when some condition is satisfied. We also obtain the permanent condition of the system. It is concluded that the approach of combining impulsive release of infective pests with impulsive spraying pesticides provides reliable tactic basis for the practical pest management. |
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| Keywords: | Impulsive Infective pest Chemical control Pest-extinction |
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