具Ⅳ类功能反应周期捕食扩散系统的持久性与全局渐近稳定性  

Permanence and Globally Asymptotical Stability of Periodic Diffusive Predator-prey Systems with Holling IV Type Functional Response

作　　者：魏凤英[1] 郭春凤[1] 陈梅双[1] 许婷瑜[1] 陈友仙[1] 

机构地区：[1]福州大学数学与计算机科学学院,福建福州350108

出　　处：《福建师大福清分校学报》2009年第5期6-11,共6页Journal of Fuqing Branch of Fujian Normal University

基　　金：福州大学科学发展基金(2007-XQ-18);福州大学校人才基金(0030824983);福州大学本科生科研训练基金(08031)

摘　　要：研究了一类具有扩散系数和Holling Ⅳ类功能反应的一捕两食三种群非自治捕食系统,分析了周期解的存在性,证明了周期解的全局渐近稳定性与唯一性,在适当的条件下,得到了该类系统具有系统持久生存和周期系统存在唯一全局渐近稳定周期解的结论。The periodic predator-prey systems with Holling IV type functional response are discussed in this paper. By analyzing the right functions of the systems and making using of Brouwer fixed point theorem, the permanence and the uniqueness of the periodic solutions of the systems are obtained. Again by constructing the moderate Liapunov functional, the global asymptotical stability of the solutions is derived.

关 键 词：HOLLING Ⅳ类功能反应 持久生存 周期解 全局渐近稳定性 

分 类 号：O175.13[理学—数学]