一类具Ivlev功能反应和脉冲效应的两食饵-捕食者系统的动力学分析  

Dynamic analysis of two-prey one-predator system with Ivlev functional responses and impulsive effect

作　　者：吴兴杰[1] 黄文韬[1] 

机构地区：[1]桂林电子科技大学数学与计算科学学院,桂林541004

出　　处：《黑龙江大学自然科学学报》2009年第2期161-167,172,共8页Journal of Natural Science of Heilongjiang University

基　　金：国家自然科学基金资助项目(60464001);广西高校优秀人才资助计划项目

摘　　要：基于综合害虫管理策略(IPM),利用脉冲比较定理、Floquent理论及微小扰动法,研究了具有Ivlev功能反应和脉冲效应的两食饵一捕食者系统的动力学性质,得到了系统食饵灭绝和持续生存的充分条件,数值模拟验证了结论的正确性,最后,讨论了该综合害虫管理策略的有效性。Based on the strategy of integrated pest management （ IPM ）, a class of two - prey one - predator systems with the Ivlev functional response and impulsive effect is established. By using impulsive comparison theorem, Floquent theory and small amplitude perturbation skill, dynamic properties of the class of two - prey one - predator systems are researched, and sufficient conditions for the system to be extinct of prey and permanence are given. Numerical simulations show that the conclusion is correct. Finally, it is concluded that the IPM strategy of integrated biology management is more effective than the classical one.

关 键 词：脉冲微分系统 脉冲比较定理 Floquent理论 综合害虫管理策略 

分 类 号：O175.12[理学—数学]