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Nonlinear incidence rate of a pest management $SI$ model with biological and chemical control concern. (English) Zbl 1231.34019
Summary: A pest management $SI$ model with impulsive releases of infective pests and spraying pesticides is proposed and investigated. We prove that all solutions of the model are uniformly ultimately bounded. We also obtain the sufficient conditions of globally asymptotic stability periodic solution of pest-extinction and permanence of the model. The approach of combining impulsive releasing infective pests with impulsive spraying pesticides provides reliable tactical basis for the practical pest management.

34A37Differential equations with impulses
Full Text: DOI
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