摘要
基于综合害虫管理,提出并研究了一类具有脉冲效应和Holling Ⅱ类功能反应的两个捕食者一个食饵系统.利用脉冲微分方程的Floquet理论和比较定理,得到了系统灭绝和持续生存的充分条件.最后,简要讨论了该综合害虫管理策略的有效性及系统在周期脉冲扰动下的动力复杂性.
Based on the integrated pest management program, a two-predator one-prey predator-prey system with impulsive effect and Holling Ⅱ functional response is proposed and analyzed. By using the Floquet theory of impulsive equation and comparison theorem, sufficient conditions for the system to be extinct and permanence are given. Finally, a brief discussion is given to conclude that our impulsive control strategy is more effective than the classical one if the chemical control is adopted rationally. Moreover, an example is given to show that the system has rich and complex dynamics.
出处
《数学的实践与认识》
CSCD
北大核心
2009年第8期135-141,共7页
Mathematics in Practice and Theory
基金
湖北省教育厅重点科研项目(B20082905)
湖北省高等学校优秀中青年团队计划项目(T200804)
