摘要
对一类具有周期脉冲效应与功能反应函数为p(x)=姨x3%的捕食-食饵系统进行了研究,根据脉冲微分方程的比较定理与Floquet乘子理论,给出了食饵根除的周期解全局稳定与系统持续生存的充分条件.最后给出了系统的数值模拟,验证了理论的正确性.
In this paper a class of predator-prey system with functional response function p （x）=√ x3 and periodic impulsive effect is investigated. By using comparison theorem and Floquet theorem of impulsive differential, sufficient conditions for global asymptotic stability of prey-eradication periodic solution and permanence of the system are given. Finally, correction of theoretical analysis is illustrated by numerical simulation.
出处
《河南科学》
2011年第9期1009-1012,共4页
Henan Science
基金
河南省科技发展计划项目(112300410047)
