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一类具有扩散和时滞的离散复合种群模型的Hopf分岔
引用本文:曾丽,赵怡,黄煜.一类具有扩散和时滞的离散复合种群模型的Hopf分岔[J].应用数学学报,2006,29(4):747-754.
作者姓名:曾丽  赵怡  黄煜
作者单位:1. 中山大学数计学院,广州,510275;广东外语外贸大学信息学院应用数学系,广州,510420
2. 中山大学数计学院,广州,510275
摘    要:本文讨论了生物上一类有时滞和扩散(迁移)的离散复合种群模型.利用离散系统相关结果分析了该模型的正不动点的类型及稳定性,并用中心流形方法对原系统降维从而讨论了它的Hopf分岔问题以及扩散和时滞对种群生态学的意义.

关 键 词:复合种群  离散系统  不动点  稳定性  Hopf分岔  灭绝
收稿时间:2004-07-20
修稿时间:2004-07-202006-03-20

Hopf Bifurcation in a Discrete Metapopulation Model with Delay and Dispersion
ZENG LI,ZHAO YI,HUANG YU.Hopf Bifurcation in a Discrete Metapopulation Model with Delay and Dispersion[J].Acta Mathematicae Applicatae Sinica,2006,29(4):747-754.
Authors:ZENG LI  ZHAO YI  HUANG YU
Institution:1.Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275;2.Department of Applied Mathematics, School of Informatics, Guang Dong University of Foreign Studies, Guangzhou 510420;3.Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275
Abstract:In this paper we study Hopf bifurcation in a discrete metapopulation model with delay.The qualitative property and stability of fixed points are analyzed.By using central manifold method,we obtain the conditions under which Hopf bifurcation occurs.In view of ecology,we also discuss the metapopulation on which the delay and dispersion have influence.
Keywords:Metapopulation  discrete time  equilibrium  Hopf bifurcation  stability  extinction
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