Global dynamics and bifurcation in delayed SIR epidemic model

被引：56

作者：

Kar, T. K. ^{[1
]}

Mondal, Prasanta Kumar ^{[2
]}

机构：

[1] Bengal Engn & Sci Univ, Dept Math, Sibpur 3, Howrah, India

[2] Shibpur Sri Ramkrishna Vidyalaya, Dept Math, Howrah 2, India

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2011年 / 12卷 / 04期

关键词：

SIR epidemic model; Transcritical bifurcation; Hopf bifurcation; Global stability; STABILITY; INFORMATION; BEHAVIOR;

D O I：

10.1016/j.nonrwa.2010.12.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An SIR epidemic model with time delay, information variable and saturated incidence rate, where the susceptibles are assumed to satisfy the logistic equation and the incidence term, is of saturated form with the susceptibles. This model exhibits two bifurcations, one is transcritical bifurcation and the other is Hopf bifurcation. The local and global stability of endemic equilibrium is also discussed. Finally, numerical simulations are carried out to explain the mathematical conclusions. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：2058 / 2068

页数：11

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