一类害虫种群有疾病传播的害虫防治模型  

Pest Control Model for a Class of Pest Population with Disease Spread

作　　者：陈春艳 向中义 CHEN Chunyan;XIANG Zhongyi(School of Science,Hubei University for Nationalities,Enshi 445000,Chin)

机构地区：[1]湖北民族学院理学院,湖北恩施445000

出　　处：《湖北民族学院学报（自然科学版）》2018年第2期150-155,共6页Journal of Hubei Minzu University(Natural Science Edition)

基　　金：国家自然科学基金项目(11761031)

摘　　要：考虑了脉冲投放病毒和脉冲投放天敌的害虫综合控制模型.运用Floquet乘子理论,脉冲微分方程比较定理,讨论了模型的害虫灭绝周期解全局渐进稳定性;选取内禀增长率为分支参数,利用分支定理,给出了系统存在正周期解的充分条件.The integrated pest control model of the pulsed-release virus and pulse releasing natural enemies is considered. By using the Floquet multiplier theory and the comparison theorem of impulsive differential equations, the global asymptotic stability of the pest extinction periodic solution is discussed,the intrinsic growth rate is chosen as the branch parameter, and the bifurcation theorem is used to give sufficient conditions for the existence of the positive periodic solution of the system.

关 键 词：脉冲效应 周期解 全局渐进稳定性 分支 

分 类 号：O193[理学—数学]