Qualitative Analysis of Delayed SIR Epidemic Model with a Saturated Incidence Rate

被引：16
|
作者：
Rihan, Fathalla A. [1 ]
Anwar, M. Naim [1 ]
机构：
[1] UAE Univ, Coll Sci, Dept Math Sci, Al Ain 17551, U Arab Emirates
来源：
INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年 / 2012卷
关键词：
D O I：
10.1155/2012/408637
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a delayed SIR epidemic model in which the susceptibles are assumed to satisfy the logistic equation and the incidence term is of saturated form with the susceptible. We investigate the qualitative behaviour of the model and find the conditions that guarantee the asymptotic stability of corresponding steady states. We present the conditions in the time lag tau in which the DDE model is stable. Hopf bifurcation analysis is also addressed. Numerical simulations are provided in order to illustrate the theoretical results and gain further insight into the behaviour of this system.
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页数：13
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