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非自治Holling-p型功能性反应捕食链系统的持久性和全局吸引性
引用本文:赖尾英. 非自治Holling-p型功能性反应捕食链系统的持久性和全局吸引性[J]. 福建农林大学学报(自然科学版), 2006, 35(5): 554-557
作者姓名:赖尾英
作者单位:福建农林大学计算机与信息学院,福建,福州,350002
基金项目:福建农林大学校科研和教改项目
摘    要:
提出了具有Holling-p类功能性反应的捕食链系统,利用微分方程比较定理得到保证此系统持久性的充分性条件;并通过构造lyapunov函数,得到了保证此系统全局稳定的充分条件.

关 键 词:Holling型功能性反应  持久性  全局吸引性
文章编号:1671-5470(2006)05-0554-04
收稿时间:2005-12-21
修稿时间:2006-05-24

Permanence and global stability of a nonoutonous predator-prey system with Holling-p type functional response
LAI Wei-ying. Permanence and global stability of a nonoutonous predator-prey system with Holling-p type functional response[J]. Journal of Fujian Agricultural and Forestry University, 2006, 35(5): 554-557
Authors:LAI Wei-ying
Affiliation:College of Computer and Information, Fujian Agriculture and Forestry University, Fuzhou, Fujian 350002, China
Abstract:
A nonoutonous predator-prey system with Holling-p functional response was studied.Some sufficient conditions(guaranteeing) the permanence of the system were determined by using comparion theory,then sufficient conditions were derived for the global asymptotic stability of the system by means of a suitable lyapunov function.
Keywords:Holling-p type functional response  persistance  global asymptotical stability
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