کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1141059 956760 2009 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Continuous and impulsive vaccination of SEIR epidemic models with saturation incidence rates
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Continuous and impulsive vaccination of SEIR epidemic models with saturation incidence rates
چکیده انگلیسی

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.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematics and Computers in Simulation - Volume 79, Issue 10, June 2009, Pages 3038–3054
نویسندگان
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