Stability analysis for a delayed SIRS epidemic model with vaccination and nonlinear incidence rate
In this paper, we have considered a delayed SIRS epidemic model with vaccination rate and nonlinear incidence rate. By analyzing the corresponding characteristic equations and based on Hurwitz principle, the local stability of a disease-free equilibrium and an endemic equilibrium is discussed. It is proved that if the basic reproductive number (R)o＜1,the disease-free equilibrium is globally asymptotically stable by means of iteration method. The time delay has no effect on both global asymptotically properties of the disease-free equilibrium and local properties of the endemic equilibrium. Numerical simulations are carried out to testify the main results and suggest that the time delay may also have no effect on global asymptotically properties of the endemic equilibrium when the basic reproductive number (R)o＞1.On the other hand, we find it is difficult to prove the global asymptotically properties of the endemic equilibrium of the model if (R)o＞1,so we note the global asymptotically properties of the endemic equilibrium as an problem laid in this paper.
Stability Delay Nonlinear Incidence Epidemic Model
Zhixing Hu Xiaofan Huang Wanbiao Ma
Department of Mathematics and Mechanics, University of Science and Technology Beijing,Beijing,China,100083
国际会议
The 5th International Congress on Mathematical Biology(第五届国际生物数学大会 ICMB 2011)
南京
英文
1261-1267
2011-06-01（万方平台首次上网日期，不代表论文的发表时间）