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Global attractivity and permanence of a stage-structured pest management SI model with time delay and diseased pest impulsive transmission |
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| Authors: | Jianjun Jiao Xinzhu Meng Lansun Chen |
| Affiliation: | aSchool of Mathematics and Statistics, Guizhou College of Finance and Economics, Guiyang 550004, People’s Republic of China bCollege of Science, Shandong University of Science and Technology, Qingdao 266510, People’s Republic of China cDepartment of Applied Mathematics, Dalian University of Technology, Dalian 116024, People’s Republic of China |
| Abstract: | In this paper, we consider a stage-structured pest management SI model with time delay and diseased pests impulsive transmission. We obtain the sufficient conditions of the global attractivity of pest-extinction boundary periodic solution and the permanence of the system. We also prove that all solutions of the system are uniformly ultimately bounded. Our results provide a reliable tactic basis for the practice of pest management. |
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