一类具有扩散和时滞的离散复合种群模型的Hopf分岔

Hopf Bifurcation in a Discrete Metapopulation Model with Delay and Dispersion

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．

In this paper we study Hopf bifurcation i：a 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.