An impulsive predator–prey model with disease in the prey for integrated pest management |
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Authors: | Ruiqing Shi Lansun Chen |
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Institution: | aSchool of Mathematics and Computer Science, Shanxi Normal University, Linfen, Shanxi 041004, People’s Republic of China;bDepartment of Applied Mathematics, Dalian University of Technology, Dalian, Liaoning 116024, People’s Republic of China |
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Abstract: | In this paper, an impulsive predator–prey model with disease in the prey is investigated for the purpose of integrated pest management. In the first part of the main results, we get the sufficient condition for the global stability of the susceptible pest-eradication periodic solution. This means if the release amount of infective prey and predator satisfy the condition, then the pest will be doomed. In the second part of the main results, we also get the sufficient condition for the permanence of the system. This means if the release amount of infective prey and predator satisfy the condition, then the prey and the predator will coexist. In the last section, we interpret our mathematical results. We also point out some possible future work. |
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Keywords: | Predator– prey model Impulsive Permanent Susceptible pest-eradication periodic solution |
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