具有Holling IV类功能性的非自治捕食系统的分析  

Analysis of a Non-autonomous Prey-predator System with Holling IV Functional Response

作　　者：王书讲[1] 欧灵光 王军勇 

机构地区：[1]桂林电子科技大学数学与计算科学学院,广西桂林541004 [2]宜章县第七中学,湖南郴州424207

出　　处：《桂林电子科技大学学报》2009年第2期138-140,共3页Journal of Guilin University of Electronic Technology

基　　金：国家自然科学基金(10871206)

摘　　要：对具有Holling IV类功能性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持久的,再利用泛函分析的Brouwer不动点定理和构造Lyapunov泛函的方法,证明该系统正周期解存在且全局渐近稳定的充分条件。The persistence for a non-autonomous prey-predator system with Holling IV functional response is considered in this paper. It is proved by differential equation qualitative theory that the system is permanent under proper conditions. By Brouwer fixed point theory and constructing a suitable sufficient Lyapunov functional, the sufficient conditions are established for the global asymptotic stability of the periodic solution for the system.

关 键 词：一致持久生存 正周期解 全局稳定 

分 类 号：O175.14[理学—数学]