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  • 张弘,严建明,罗桂烈.多种群生态竞争-捕食连续型时滞系统正周期解的存在性和全局吸引性[J].广西科学,2004,11(2):86-90.    [点击复制]
  • Zhang Hong,Yan Jianming,Luo Guilie.Existence and Global Attractivity of Positive Periodic Solution of Multispecies Ecological Competition-Predator Continuous Time Delay System[J].Guangxi Sciences,2004,11(2):86-90.   [点击复制]
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多种群生态竞争-捕食连续型时滞系统正周期解的存在性和全局吸引性
张弘1,2, 严建明1,3, 罗桂烈1
0
(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.江苏大学数学系, 江苏镇江 212013;3.衡阳师范学院数学系, 湖南衡阳 421008)
摘要:
利用Lyapunov-Razumikhin理论,讨论一类具有周期系数和连续时滞的多种群生态竞争-捕食系统,在一定的条件下,证明该系统的周期正解的存在性和全局吸引性
关键词:  竞争-捕食系统  周期解  全局吸引性  多种群
DOI:
投稿时间:2004-01-05
基金项目:
Existence and Global Attractivity of Positive Periodic Solution of Multispecies Ecological Competition-Predator Continuous Time Delay System
Zhang Hong1,2, Yan Jianming1,3, Luo Guilie1
(1.Dept of Math & Comp Sci, Guangxi Normal Univ, 3 Yucailu, Guilin, Guangxi, 541004, China;2.Math. Dept., Jiangsu University, Zhenjiang, Jiangsu, 212013, China;3.Math Dept, Hengyang Teachers College, Hengyang, Hunan, 421008, China)
Abstract:
By employing the Lyapunov-Razumikhin technique,we consider the existence,uniqeness and global attractivity of positive periodic solution of multispecies ecological competition predator system with periodic coefficients and continuous time delay.
Key words:  competition-predator system  periodic solution  global attractivity  multispecies ecological

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