کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4642936 | 1341361 | 2007 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Global stability of a delayed SIR epidemic model with density dependent birth and death rates
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
An SIR epidemic model with density dependent birth and death rates is formulated. In our model it is assumed that the total number of the population is governed by logistic equation. The transmission of infection is assumed to be of the standard form, namely proportional to I(t-h)/N(t-h)I(t-h)/N(t-h) where N(t)N(t) is the total (variable) population size, I(t)I(t) is the size of the infective population and a time delay h is a fixed time during which the infectious agents develop in the vector. We consider transmission dynamics for the model. Stability of an endemic equilibrium is investigated. The stability result is stated in terms of a threshold parameter, that is, a basic reproduction number R0R0.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 201, Issue 2, 15 April 2007, Pages 339–347
Journal: Journal of Computational and Applied Mathematics - Volume 201, Issue 2, 15 April 2007, Pages 339–347
نویسندگان
Naoki Yoshida, Tadayuki Hara,