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Nonlinear incidence rate of a pest management SI model with biological and chemical control concern

Nonlinear incidence rate of a pest management SI model with biological and chemical control concern
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摘要 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. 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.
作者 焦建军 陈兰荪
机构地区 Department of Applied Mathematics Department of Applied Mathematics
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2007年第4期541-551,共11页 应用数学和力学（英文版）
基金 Project supported by the National Natural Science Foundation of China (No.10471117)
关键词 IMPULSIVE INFECTIVE chemical control pest-extinction impulsive, infective, chemical control, pest-extinction
分类号 O175.2 [理学—基础数学]
  • 相关文献

参考文献12

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二级参考文献4

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共引文献8

Applied Mathematics and Mechanics(English Edition)
2007年 第4期

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