错时投放天敌及喷洒农药治理害虫模型  

A Model of Releases Predators and Sprays Pesticides Irregularly to Control Pests

作　　者：李冬梅[1] 罗雪峰[1] 董在飞 

机构地区：[1]哈尔滨理工大学应用科学学院,黑龙江哈尔滨150080

出　　处：《哈尔滨理工大学学报》2015年第3期106-113,共8页Journal of Harbin University of Science and Technology

基　　金：黑龙江省自然基金(A200502);黑龙江省教育厅科学技术研究项目(12521099)

摘　　要：针对错时投放天敌和喷洒农药的具有密度制约项的脉冲害虫防治问题,采用了脉冲微分方程理论的方法,研究了具有密度制约的害虫防治系统,得到害虫绝灭周期解的局部渐近稳定性,全局渐近稳定性充分条件,给出类模型一致持久性的条件.Aiming at the problem to control pests by irregularly releasing predators and spraying pesticides, we construct an impulsi We discuss the pest locally asymptotical tions of consistence. ve model with density dependence term by using the theorem of impulsive differential equations. impulsive control model with density dependence term and gaine the sufficient conditions for the stability and globally asymptotical stability of pest-extinction periodic solution, giving the condi-

关 键 词：害虫防治 密度制约 害虫绝灭周期解 稳定性 

分 类 号：O175.13[理学—数学]