具有害虫综合控制策略的捕食系统的动态行为  

The dynamics behavior of predator-prey model with integrated pest control

作　　者：戴飞[1] 李畅通[1] 

机构地区：[1]西安工业大学数理系,陕西西安710032

出　　处：《纺织高校基础科学学报》2012年第1期55-58,共4页Basic Sciences Journal of Textile Universities

基　　金：陕西省教育厅科学计划项目(09JK480);西安工业大学校长基金项目(XAGDJJ0830)

摘　　要：研究了具有两种不同脉冲控制序列的捕食与被捕食模型的动态行为,通过随机的喷洒杀虫剂或投放自然天敌,得到了捕食系统害虫根除周期解的全局稳定性的临界值.数值模拟分析了喷洒杀虫剂和投放天敌的次数如何影响害虫综合控制,为成功的害虫控制策略提供依据.The predator-prey system with timing impulsive intervention at different time points is investi- gated. With releases natural enemies either more or less frequent than sprays, a global stable threshold condition for pest eradication periodic solution is analysed. The numerical results analysed how the threshold is affected by the fact including instantaneous killing rates of pesticides on pests and natural enemies. The results provide tactical basis for the practical pest management.

关 键 词：生物控制 全局稳定 周期解 

分 类 号：O175.14[理学—数学]