کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4626714 1631789 2015 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The stochastic SEIR model before extinction: Computational approaches
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
The stochastic SEIR model before extinction: Computational approaches
چکیده انگلیسی


• Efficient computational procedures are proposed for the stochastic SEIR epidemic model.
• The ratio-of-expectations and the extinction time distributions are computed recursively.
• The results are applied for the study of an outbreak of Marburg fever.

We study a stochastic epidemic model of Susceptible-Exposed-Infective-Removed (SEIR) type and we quantify its behavior during an outbreak. More specifically, we model the epidemic by a continuous-time Markov chain and we develop efficient computational procedures for the distribution of the duration of an outbreak. We also study the evolution of the epidemic before its extinction using the ratio-of-expectations (RE) distribution for the number of individuals in the various classes of the model. The obtained results are illustrated by numerical examples including an application to an outbreak of Marburg hemorrhagic fever.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 265, 15 August 2015, Pages 1026–1043
نویسندگان
, , ,