کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4628252 1631821 2014 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Necessary and sufficient condition for extinction and persistence of SIRS system with random perturbation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Necessary and sufficient condition for extinction and persistence of SIRS system with random perturbation
چکیده انگلیسی

This paper characterizes the qualitative dynamics of a stochastic SIRS epidemic model. The study shows that the dynamics of the model are determined by a certain threshold quantity RSRS expressed in terms of the model parameters and the intensity of the noise. If RS<1RS<1, the disease will be eliminated from the community; whereas an epidemic occurs if RS>1RS>1. Our results recover the known results in the earlier literature as special cases. The presented results are illustrated by numerical simulations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 233, 1 May 2014, Pages 10–19
نویسندگان
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