An Epidemic Model with a Time Delay in Transmission

被引：3
|
作者：
Q. J. A. Khan
E. V. Krishnan
机构：
[1] Sultan Qaboos University,Department of Mathematics and Statistics, College of Science
来源：
Applications of Mathematics | 2003年 / 48卷 / 3期
关键词：
epidemic model; time delay; Hopf bifurcation; equilibrium analysis; differential equations;
D O I：
10.1023/A:1026002429257
中图分类号：
学科分类号：
摘要：
We study a mathematical model which was originally suggested by Greenhalgh and Das and takes into account the delay in the recruitment of infected persons. The stability of the equilibria are also discussed. In addition, we show that the introduction of a time delay in the transmission term can destabilize the system and periodic solutions can arise by Hopf bifurcation.
引用
收藏
页码：193 / 203
页数：10
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