Bifurcation analysis of discrete survival red blood cells model

被引：17

作者：

Fan, Dejun ^{[1
]}

Wei, Junjie ^{[1
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2009年 / 14卷 / 08期

基金：

中国国家自然科学基金;

关键词：

Discrete survival blood cells model; Neimark-Sacker bifurcation; Flip bifurcation; GLOBAL ATTRACTIVITY; STABILITY; NETWORK; DELAYS;

D O I：

10.1016/j.cnsns.2009.01.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a discrete survival red blood cells model with delay is considered. Firstly, the stability of the equilibria of the system is investigated by analyzing the characteristic equation and then the existence of Neimark-Sacker and flip bifurcations are verified. Subsequent to that, the direction and stability of the Neimark-Sacker and flip bifurcations are determined by using the normal form theory and center manifold theorem. Finally, some numerical simulations are carried out to support the results of mathematical analysis. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：3358 / 3368

页数：11

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