具有生物控制和化学控制的SEI害虫管理模型  

A Pest Management SEI Model with Biological and Chemical Control

作　　者：向中义[1] 秦莎莎[1,2] 

机构地区：[1]湖北民族学院数学系,湖北恩施445000 [2]神农溪高中,湖北巴东444309

出　　处：《信阳师范学院学报（自然科学版）》2009年第1期10-13,共4页Journal of Xinyang Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(10771179);湖北省自然科学基金项目(2008CDB075);湖北省优秀中青年项目(Q20082906);湖北省高等学校科研团队项目(T200804)

摘　　要：考虑一个在固定时刻分别投放染病者害虫和喷洒杀虫剂的SEI害虫管理模型.通过频闪映射,得到了易感者和潜伏者根除的害虫根除周期解,并且证明当投放的染病者害虫的数量大于某个临界值时,害虫根除周期解是全局吸引的;当投放的染病者的数量小于该临界值时,系统是持续生存的.An SEI model for pest management with releasing infective pests and spraying pesticides at different fixed moments is considered. Using the stroboscopic map, the exact periodic susceptible and exposed pest-eradication solution of the system is obtained. The pest-eradication periodic solution is globally attractive ff that the amount of infective pests released periodically is larger than some critical value. When the amount of infective pests released is less than this critical value,the system is shown to be permanent.

关 键 词：SEI害虫管理模型 脉冲效应 绝灭 持续生存 

分 类 号：O175[理学—数学]