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具时滞Gilpin-Ayala型L-V系统产生多周期解和Hopf分支现象的条件
引用本文:陈宁,张世富. 具时滞Gilpin-Ayala型L-V系统产生多周期解和Hopf分支现象的条件[J]. 生物数学学报, 2006, 21(2): 209-215
作者姓名:陈宁  张世富
作者单位:西南科技大学,理学院,信息与控制工程学院,四川,绵阳,621002
基金项目:四川省教育厅重点科研项目基金资助(2203A116)
摘    要:研究了具时滞Gilpin-Ayala型L-V系统中相应产生多周期解和Hopf分支的条件,得到了新的结果.

关 键 词:Gilpin-Ayala型  P-周期解  关联曲线  Hopf分支
文章编号:1001-9626(2006)02-0209-07
收稿时间:2003-10-10
修稿时间:2003-10-10

The Conditions of the p-Periodic Solutions and the Bifurcation Phenomenon of Gilpin-Ayala Type Lotka-Volterra System with Finite Delay
CHEN Ning,ZHANG Si-fu. The Conditions of the p-Periodic Solutions and the Bifurcation Phenomenon of Gilpin-Ayala Type Lotka-Volterra System with Finite Delay[J]. Journal of Biomathematics, 2006, 21(2): 209-215
Authors:CHEN Ning  ZHANG Si-fu
Affiliation:College of Math and Physics, Information and Control Engineering, Southwest and University of Science and Technology, Mianyang Sichuan 621002 China
Abstract:In this paper, We investigate systems (1.1) and (1.2). We now obtain a condition what the p-periodic happens to the solution and periodic bifurcation phenomenon happens for the solution of the systems with finite delay.
Keywords:Gilpin-Ayala type  p-periodic solutions  Invariance Curve  Hopf-Bifurcation
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