کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1704407 1012408 2012 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Global stability of a delayed epidemic model with latent period and vaccination strategy
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
Global stability of a delayed epidemic model with latent period and vaccination strategy
چکیده انگلیسی

In this paper, a mathematical model describing the transmission dynamics of an infectious disease with an exposed (latent) period and waning vaccine-induced immunity is investigated. The basic reproduction number is found by applying the method of the next generation matrix. It is shown that the global dynamics of the model is completely determined by the basic reproduction number. By means of appropriate Lyapunov functionals and LaSalle’s invariance principle, it is proven that if the basic reproduction number is less than or equal to unity, the disease-free equilibrium is globally asymptotically stable and the disease fades out; and if the basic reproduction number is greater than unity, the endemic equilibrium is globally asymptotically stable and therefore the disease becomes endemic.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 36, Issue 11, November 2012, Pages 5293–5300
نویسندگان
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