کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1141059 | 956760 | 2009 | 17 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Continuous and impulsive vaccination of SEIR epidemic models with saturation incidence rates Continuous and impulsive vaccination of SEIR epidemic models with saturation incidence rates](/preview/png/1141059.png)
In this paper, two delayed SEIR epidemic models with continuous and impulsive vaccination and saturating incidence are investigated. The dynamical behaviors of the disease are analyzed. For continuous vaccination, we obtain a basic reproductive number R1R1 and prove that if R1≤1R1≤1 then the disease-free equilibrium is globally attractive and if R1>1R1>1 then the disease is permanent by using the Lyapunov functional method. For impulsive vaccination, we obtain two thresholds R∗R∗ and R∗R∗ and prove that if R∗<1R∗<1 then the disease-free periodic solution is globally attractive and if R∗>1R∗>1 then the disease is permanent by using the comparison theorem of impulsive differential equation and the Lyapunov functional method. Lastly, we compared the effects of two vaccination strategies.
Journal: Mathematics and Computers in Simulation - Volume 79, Issue 10, June 2009, Pages 3038–3054