害虫治理的病毒感染模型  

The Viral Infection Model In Pest Management

作　　者：岳宗敏[1] 刘海峰[1] 

机构地区：[1]陕西科技大学理学院,陕西西安710021

出　　处：《生物数学学报》2012年第4期663-672,共10页Journal of Biomathematics

基　　金：陕西省科技厅自然科学基金(No.2011JQ1015);陕西科技大学校内自选项目基金(No.ZX10-37);榆林市科技局产学研项目(2011)

摘　　要：研究了一类食饵受病毒感染的生态流行病模型,考虑脉冲释放病毒颗粒和自然天敌来进行害虫治理.利用Floquet乘子理论、小振幅扰动技巧和比较定理证明了害虫灭绝周期解的全局渐近稳定性以及系统持续生存的充分条件.结果为现实的害虫管理提供了科学依据.Abstract： In this paper, a pest management viral infection model with impulsive releass sof viral particles and natural enemies is proposed and investigated . The flmctional response of the predator is described by the abstract function satisfying certain assumptions, The sufficient conditions of globally asymptotic stability of pest eradication periodic solution and the perma-nence of tile model are obtained by using Eloquet＇s theorem , small -amplitude perturbation skills and comparison theorem . The results provide effective tactic basis for the practical pest,management .

关 键 词：脉冲 功能反应 全局渐近稳定 一致持久 

分 类 号：O175.1[理学—数学]