کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1706271 1012455 2011 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Global analysis of a delayed epidemic dynamical system with pulse vaccination and nonlinear incidence rate
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
Global analysis of a delayed epidemic dynamical system with pulse vaccination and nonlinear incidence rate
چکیده انگلیسی

This study explores the influence of epidemics by numerical simulations and analytical techniques. Pulse vaccination is an effective strategy for the treatment of epidemics. Usually, an infectious disease is discovered after the latent period, H1N1 for instance. The vaccinees (susceptible individuals who have started the vaccination process) are different from both susceptible and recovered individuals. So we put forward a SVEIRS epidemic model with two time delays and nonlinear incidence rate, and analyze the dynamical behavior of the model under pulse vaccination. The global attractivity of ‘infection-free’ periodic solution and the existence, uniqueness, permanence of the endemic periodic solution are investigated. We obtain sufficient condition for the permanence of the epidemic model with pulse vaccination. The main feature of this study is to introduce two discrete time delays and impulse into SVEIRS epidemic model and to give pulse vaccination strategies.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 35, Issue 10, October 2011, Pages 4865–4876
نویسندگان
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