具脉冲控制的害虫管理SI模型(英文)

A Pest Management SI Model with Impulsive Control Concerned

这篇论文讨论了关于脉冲释放病虫与喷洒农药的害虫管理SI模型．我们不但证明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的条件是In1/1-μ1＞rT-rμθ（1-exp（-wT））/Kw（1-（1-μ2）exp（-WT）-βμ^3（1-exp（-3WT））/3w（1-μ2）exp（-WT））^3也得到了系统（1）的一致持久的条件我们的结论为实际的害虫管理提供了可靠的理论依据．

In this work, we consider an SI model for pest management, and concerning about impulsive releasing infective pests and spraying pesticides. We prove that all solutions of （2.2） are uniformly ultimately bounded and there exists globally asymptotic stability periodic solution of pest-extinction whenIn1/1-μ1〉rT-rμθ（1-exp（-wT））/Kw（1-（1-μ2）exp（-WT）-βμ^3（1-exp（-3WT））/3w（1-μ2）exp（-WT））^3 tion for permanence of system（2.2） is also obtained. It is concluded that the approach of combining impulsive infective releasing with impulsive pesticides spraying provides reliable tactic basis for the practical pest management.