کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4641180 | 1341298 | 2009 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Global attractivity and permanence of a SVEIR epidemic model with pulse vaccination and time delay
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Global attractivity and permanence of a SVEIR epidemic model with pulse vaccination and time delay Global attractivity and permanence of a SVEIR epidemic model with pulse vaccination and time delay](/preview/png/4641180.png)
چکیده انگلیسی
In this study, we propose a new SVEIR epidemic disease model with time delay, and analyze the dynamic behavior of the model under pulse vaccination. Pulse vaccination is an effective strategy for the elimination of infectious disease. Using the discrete dynamical system determined by the stroboscopic map, we obtain an ‘infection-free’ periodic solution. We also show that the ‘infection-free’ periodic solution is globally attractive when some parameters of the model under appropriate conditions. The permanence of the model is investigated analytically. Our results indicate that a large vaccination rate or a short pulse of vaccination or a long latent period is a sufficient condition for the extinction of the disease.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 229, Issue 1, 1 July 2009, Pages 302–312
Journal: Journal of Computational and Applied Mathematics - Volume 229, Issue 1, 1 July 2009, Pages 302–312
نویسندگان
Huiming Wei, Yu Jiang, Xinyu Song, G.H. Su, S.Z. Qiu,