کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4632252 | 1340640 | 2009 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The explicit series solution of SIR and SIS epidemic models
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper the SIR and SIS epidemic models in biology are solved by means of an analytic technique for nonlinear problems, namely the homotopy analysis method (HAM). Both of the SIR and SIS models are described by coupled nonlinear differential equations. A one-parameter family of explicit series solutions are obtained for both models. This parameter has no physical meaning but provides us with a simple way to ensure convergent series solutions to the epidemic models. Our analytic results agree well with the numerical ones. This analytic approach is general and can be applied to get convergent series solutions of some other coupled nonlinear differential equations in biology.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 215, Issue 2, 15 September 2009, Pages 653–669
Journal: Applied Mathematics and Computation - Volume 215, Issue 2, 15 September 2009, Pages 653–669
نویسندگان
Hina Khan, Ram N. Mohapatra, K. Vajravelu, S.J. Liao,