广西科学

引用本文：

严建明,张弘,罗桂烈.具有连续时滞和功能性反应的非自治竞争系统的持续性和全局吸引性[J].广西科学,2004,11(3):179-182. [点击复制]
Yan Jianming,Zhang Hong,Luo Guilie.Persistence and Global Attractivity for Nonautonomous Competition System with Continuous Time Delay and Functional Response[J].Guangxi Sciences,2004,11(3):179-182. [点击复制]

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具有连续时滞和功能性反应的非自治竞争系统的持续性和全局吸引性
严建明^1,2, 张弘^1,3, 罗桂烈¹
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(1.广西师范大学数学与计算机科学学院, 桂林市育才路3号 541004;2.衡阳师范学院数学系, 湖南衡阳 421008;3.江苏大学数学系, 江苏镇江 212013)

摘要:

讨论系数满足一定的条件时,具有连续时滞和类功能性反应的非自治扩散竞争系统的持续生存性,并给出系统周期解全局吸引的充分条件.

关键词: 非自治竞争系统持续性全局吸引性

DOI：

投稿时间：2004-01-05修订日期：2004-04-15

基金项目:国家数学天元基金(A0324644)和广西自然科学基金资助项目(桂科青O339021).

Persistence and Global Attractivity for Nonautonomous Competition System with Continuous Time Delay and Functional Response

Yan Jianming^1,2, Zhang Hong^1,3, Luo Guilie¹

(1.Coll. of Math. & Comp. Sci., Guangxi Normal Univ., 3 Yucailu, Guilin, Guangxi, 541004, China;2.Dept. of Math., Hengyang Normal Univ., Hengyang, Hunan, 421008, China;3.Dept. of Math., Jiangsu Univ., Zhenjiang, Jiangsu, 212013, China)

Abstract:

Persistence of a nonautonomous diffusion competition system with continuous time delay and Ⅱtype functional response is studied under some conditions.Furthermore,sufficient conditions are established for global attractivity of a periodic solution of the system.

Key words: nonautonomous competition system persistence global attractivity

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