摘要
对一个具有Holling IV类功能反应的非自治捕食系统进行研究,通过利用微分方程定性理论证明该系统在适当条件下是一致持久的;并且当系统是周期系统时,利用泛函分析的Brouwer不动点定理和构造Lyapunov函数的方法,得到该系统周期正解唯一存在且全局渐近稳定的充分条件。
The non-autonomous predator-prey system with Holling IV functional response is considered in the paper. It is proved by differential equation qualitative theory that the system is persistent in proper conditions. Also, when the system is periodic, by using Brouwer fixed point theory and the way of constructing Lyapunov function, the sufficient conditions are obtained for the unique existence and global asymptotic stability of the periodic positive solution of the system.
出处
《桂林电子科技大学学报》
2010年第3期258-261,共4页
Journal of Guilin University of Electronic Technology
基金
国家自然科学基金(10961011)
关键词
捕食者-食饵系统
功能反应
周期解
全局渐近稳定
predator-prey system
functional response
periodic solution
global asymptotic stability
