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具有反馈控制和功能反应的两种群竞争系统的解的渐近性
引用本文:黑利军,霍海峰,陈菊芳.具有反馈控制和功能反应的两种群竞争系统的解的渐近性[J].纯粹数学与应用数学,2000,16(3):66-70.
作者姓名:黑利军  霍海峰  陈菊芳
作者单位:榆林高等师范专科学校数学系,榆林,719000
摘    要:讨论了具有反馈控制和功能反应的两种群竞争系统的解的渐近性质,获得了在一定条件下该种群持续生存的充分条件,以及该系统为周期系统时,存在全局渐近稳定的正周期解。

关 键 词:反馈控制  功能反应  正周期解  两种群竞争系统    渐近性
文章编号:1008-5513(2000)03-0066-05

Asymptotic behavior of solution in competitive system with feedback controls and functional reaction response
HEI Li-jun,HUO Hai-feng,CHEN Ju-fang.Asymptotic behavior of solution in competitive system with feedback controls and functional reaction response[J].Pure and Applied Mathematics,2000,16(3):66-70.
Authors:HEI Li-jun  HUO Hai-feng  CHEN Ju-fang
Abstract:This paper consider a nonautonomous system of two competing species with functional response and feedback controls. We prrove that the system can be persistent under some conditions and that if the system is a periodic system,then it has a strictly positive orbit which is globally asymptotically stable under the appropriate conditions.
Keywords:invariant set  ultimately bounded region  persistence  feedback control  functional reponse
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