一类具Holling-Ⅲ型和Beddington型功能性反应的非自治捕食系统的持续生存性与周期解  

Persistence and periodic solution in nonautonomous prey-predator systerm with Holling-Ⅲ and beddington-type functional response

作　　者：霍忠林[1] 

机构地区：[1]中南大学数学科学与计算技术学院,湖南长沙410075

出　　处：《重庆文理学院学报（自然科学版）》2009年第6期5-7,共3页Journal of Chongqing University of Arts and Sciences

摘　　要：讨论了一类具Holling-Ⅲ型和Beddington型功能性反应的食饵—捕食者非自治系统,获得了其存在唯一、全局渐近稳定周期解的充分条件.A nonautomous prey -predator systerm with Holling - Ⅲ and Beddington - type functional response is discussed in this paper. Sufficient conditions are derived to guarantee the persistence of the system,the existence and global asymptotic stability of the positive periodic solution.

关 键 词：Holling—Ⅲ型功能性反应 Beddington型功能性反应 食饵-捕食者 持续生存性 周期解 全局渐近稳定 

分 类 号：O175[理学—数学]