Analysis of pest-epidemic model by releasing diseased pest with impulsive transmission

被引：17
|
作者：
Wang, Xia [1 ]
Tao, Youde [1 ]
Song, Xinyu [1 ]
机构：
[1] Xinyang Normal Univ, Coll Math & Informat Sci, Xinyang 464000, Henan, Peoples R China
来源：
NONLINEAR DYNAMICS | 2011年 / 65卷 / 1-2期
基金：
中国国家自然科学基金;
关键词：
Pest management; Impulsive transmission; Permanence; Pest-extinction; Periodic solution; MANAGEMENT; BEHAVIOR;
D O I：
10.1007/s11071-010-9882-4
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
According to biological and chemical control strategy for pest control, we investigate an SI model for pest management, concerning periodic spraying of microbial pesticide and releasing infected pests at different fixed moments. By using Floquet and comparison theorems, we prove that the pest-extinction periodic solution is globally asymptotically stable when the impulsive period T is less than the critical value T (max) . Otherwise, the system can be permanent. Our results provide reliable tactic basis for the practical pest management.
引用
收藏
页码：175 / 185
页数：11
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