Dynamical behavior for an eco-epidemiological model with discrete and distributed delay

被引：5
|
作者：
Shi X. [1 ]
Zhou X. [1 ]
Song X. [1 ]
机构：
[1] College of Mathematics and Information Science, Xinyang Normal University, Xinyang
来源：
Journal of Applied Mathematics and Computing | 2010年 / 33卷 / 1-2期
基金：
中国国家自然科学基金;
关键词：
Asymptotical stability; Distributed delay; Eco-epidemiological system; Hopf bifurcation;
D O I：
10.1007/s12190-009-0288-8
中图分类号：
学科分类号：
摘要：
In this paper, the dynamical behavior of an eco-epidemiological model with discrete and distributed delay is studied. Sufficient conditions for the local asymptotical stability of the nonnegative equilibria are obtained. We prove that there exists a threshold value of the feedback time delay τ beyond which the positive equilibrium bifurcates towards a periodic solution. Using the normal form theory and center manifold argument, the explicit formulae which determine the stability, the direction and the periodic of bifurcating period solutions are derived. Numerical simulations are carried out to explain the mathematical conclusions. © 2009 Korean Society for Computational and Applied Mathematics.
引用
收藏
页码：305 / 325
页数：20
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