کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1144946 957442 2010 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A class of stochastic epidemic models and its deterministic counterpart
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آمار و احتمال
پیش نمایش صفحه اول مقاله
A class of stochastic epidemic models and its deterministic counterpart
چکیده انگلیسی

A general stochastic model for the spread of an epidemic developing in a closed population is introduced. Each model consisting of a discrete-time Markov chain involves a deterministic counterpart represented by an ordinary differential equation. Our framework involves various epidemic models such as a stochastic version of the Kermack and McKendrick model and the SIS epidemic model. We prove the asymptotic consistency of the stochastic model regarding a deterministic model; this means that for a large population both modelings are similar. Moreover, a Central Limit Theorem for the fluctuations of the stochastic modeling regarding the deterministic model is also proved.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of the Korean Statistical Society - Volume 39, Issue 4, December 2010, Pages 397–407
نویسندگان
,