Abstract
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.
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Communicated by GUO Xing-ming
Project supported by the National Natural Science Foundation of China (No.10471117)
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Jiao, Jj., Chen, Ls. Nonlinear incidence rate of a pest management SI model with biological and chemical control concern. Appl Math Mech 28, 541–551 (2007). https://doi.org/10.1007/s10483-007-0415-y
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DOI: https://doi.org/10.1007/s10483-007-0415-y