具有脉冲状态反馈控制的森林害虫防控模型  

A Forest Pest Prevention and Control Model with Impulsive State Feedback Control

作　　者：梁志清[1] 郭雨婷[1] 张叶[1] 

机构地区：[1]玉林师范学院数学与统计学院,广西玉林537000

出　　处：《玉林师范学院学报》2016年第2期32-38,共7页Journal of Yulin Normal University

基　　金：国家自科基金资助项目(编号:61364020;11161052);广西高校大学生创新创业计划项目(编号:201410606036)

摘　　要：为构建一类具有脉冲状态反馈控制的森林害虫防控模型,首先,对无脉冲系统进行数学分析,得到害虫种群灭绝及爆发的条件;其次,利用微分方程有关理论及类Poincare准则获得脉冲系统阶一周期解的存在性及轨道渐近稳定性,并数值模拟验证主要结论;最后,给出在资源充足条件下的灯光诱杀和水枪喷杀组合的害虫防控策略.In this paper,a kind of pest model with impulsive state control is constructed.Firstly,the conditions of extinction and outbreak of pests are obtained by a mathematical analysis of the impulse free systems.Next,by using the theory of differential equations and Poincare criterion,the existence and orbital asymptotically stability of order1 periodic for the pulse.system are obtained.The mathematical results are verified by the numerical simulations.Finally,pest prevention and control strategies under the condition of sufficient resources by a combination of light trapping and water spraying are proposed.

关 键 词：物理防治 害虫 脉冲状态反馈控制 阶1周期解 轨道稳定性 

分 类 号：O175[理学—数学]