摘要
基于害虫的生物控制和化学控制策略,考虑到杀虫剂对天敌的影响,利用脉冲微分方程建立了在不同时刻分别喷洒杀虫剂释放天敌的一个捕食者-两个食饵模型的脉冲动力系统,证明了当脉冲周期小于某个临界值时,存在一个渐近稳定的害虫根除周期解,当脉冲周期小于某个临界值时,系统是持续生存的.
In this paper, considering biological control and chemical control strategy and the effects of chemical pesticide on natural enemy, a one-predator two-prey model with impulsive effect is proposed and analyzed by using impulsive differential equation. It is proved that there exists an asymptotically stable pest-eradication than some critical value. The system can be some critical value. periodic solution when the impulsive period is less permanent when the impulsive period is more than
出处
《鞍山师范学院学报》
2006年第2期12-15,共4页
Journal of Anshan Normal University
基金
国家自然科学基金资助项目(No.10471117)
高校杰出科研人才创新工程项目(No.2005KYCX017)
