具有不同频率脉冲控制的周期环境下捕食系统的动力学性质  

Dynamic Behaviors of a Predator-Prey System under the Condition of Periodic Environment with Impulsive Control of Different Frequency

作　　者：李远远[1] 罗勇[1] 胡亦郑[1] 

机构地区：[1]温州大学数学与信息科学学院,浙江温州325035

出　　处：《温州大学学报（自然科学版）》2015年第2期36-43,共8页Journal of Wenzhou University(Natural Science Edition)

基　　金：国家自然科学基金(11001204)

摘　　要：研究了一类在周期环境下具有不同频率脉冲控制的综合害虫治理捕食系统模型,利用脉冲微分方程相关理论,分别给出了不同策略下害虫灭绝周期解的存在性与全局渐近稳定的充分条件,用数值模拟分析了系统参数、害虫和天敌的残存率、喷洒杀虫剂的次数等对临界值的影响.This paper tends to study the comprehensive pest prey-predator system model with impulsive control of different frequency under the condition of periodic environment. With the theory of impulsive differential equations, the existence of pest extinction periodic solution and the sufficient condition of global asymptotic stability were obtained under different strategies. By the numerical simulation result, the impact of system parameters, survival rate of pests and natural enemies, and the numbers of the spraying on the critical value were respectively analyzed.

关 键 词：脉冲控制 综合治理 全局渐近稳定 捕食系统 

分 类 号：O193[理学—数学]