| 具非线性传染率与生物化学控制的害虫管理S-I模型 |
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| 引用本文： | 焦建军,陈兰荪.具非线性传染率与生物化学控制的害虫管理S-I模型[J].应用数学和力学,2007,28(4):487-496. |
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| 作者姓名： | 焦建军 陈兰荪 |
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| 作者单位： | 1. 大连理工大学,应用数学系,辽宁,大连,116024;贵州财经学院,数学与统计学院,贵阳,550004
2. 大连理工大学,应用数学系,辽宁,大连,116024 |
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| 摘 要： | 讨论了具有非线性传染率与脉冲控制的害虫管理S-I传染病模型,此模型考虑的是脉冲投放病虫和喷洒农药.不但得到了系统的所有解的一致完全有界,而且得到了害虫灭绝的边界周期解的全局渐进稳定和系统的一致持久的条件.为实际的害虫管理提供了可靠的理论依据.
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| 关 键 词： | 脉冲 染病个体 化学控制 灭绝 一致持久 |
| 文章编号： | 1000-0887（2007）04-0487-10 |
| 修稿时间： | 2006-08-11 |
Nonlinear Incidence Rate of a Pest Management S-I Model With Biological and Chemical Control Concern |
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| JIAO Jian-jun,CHEN Lan-sun.Nonlinear Incidence Rate of a Pest Management S-I Model With Biological and Chemical Control Concern[J].Applied Mathematics and Mechanics,2007,28(4):487-496. |
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| Authors: | JIAO Jian-jun CHEN Lan-sun |
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| Abstract: | A pest management S-I model with impulsive releases of infective pests and spraying pesticides is proposed and investigated.It was proved that all solutions of the model are uniformly ultimately bounded.The sufficient conditions of globally asymptotic stability periodic solution of pest-extinction and permanence of the model were also obtained.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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| Keywords: | impulsive infective chemical control uniform permanence pest-extinction |
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