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The use of generation stochastic models to study an epidemic disease

Stochastic models have an important role in modeling and analyzing epidemic diseases for small size population. In this article, we study the generation of stochastic models for epidemic disease susceptible-infective-susceptible model. Here, we use the separation variable method to solve partial dif...

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Main Authors: Chaharborj, Sarkhosh Seddighi, Ismail, Fudziah, Abu Bakar, Mohd Rizam, Chaharborj, Reza Seddighi, Abdul Majid, Zanariah, Ahmad, Abd Ghafur
Format: Article
Language:English
English
Published: Springer 2013
Online Access:http://psasir.upm.edu.my/id/eprint/30364/1/The%20use%20of%20generation%20stochastic%20models%20to%20study%20an%20epidemic%20disease.pdf
http://psasir.upm.edu.my/id/eprint/30364/
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spelling my.upm.eprints.303642015-09-15T02:07:28Z http://psasir.upm.edu.my/id/eprint/30364/ The use of generation stochastic models to study an epidemic disease Chaharborj, Sarkhosh Seddighi Ismail, Fudziah Abu Bakar, Mohd Rizam Chaharborj, Reza Seddighi Abdul Majid, Zanariah Ahmad, Abd Ghafur Stochastic models have an important role in modeling and analyzing epidemic diseases for small size population. In this article, we study the generation of stochastic models for epidemic disease susceptible-infective-susceptible model. Here, we use the separation variable method to solve partial differential equation and the new developed modified probability generating function (PGF) of a random process to include a random catastrophe to solve the ordinary differential equations generated from partial differential equation. The results show that the probability function is too sensitive to μ, β and γ parameters. Springer 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30364/1/The%20use%20of%20generation%20stochastic%20models%20to%20study%20an%20epidemic%20disease.pdf Chaharborj, Sarkhosh Seddighi and Ismail, Fudziah and Abu Bakar, Mohd Rizam and Chaharborj, Reza Seddighi and Abdul Majid, Zanariah and Ahmad, Abd Ghafur (2013) The use of generation stochastic models to study an epidemic disease. Advances in Difference Equations, 2013. art. no. 7. pp. 1-9. ISSN 1687-1839; ESSN: 1687-1847 10.1186/1687-1847-2013-7 English
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
English
description Stochastic models have an important role in modeling and analyzing epidemic diseases for small size population. In this article, we study the generation of stochastic models for epidemic disease susceptible-infective-susceptible model. Here, we use the separation variable method to solve partial differential equation and the new developed modified probability generating function (PGF) of a random process to include a random catastrophe to solve the ordinary differential equations generated from partial differential equation. The results show that the probability function is too sensitive to μ, β and γ parameters.
format Article
author Chaharborj, Sarkhosh Seddighi
Ismail, Fudziah
Abu Bakar, Mohd Rizam
Chaharborj, Reza Seddighi
Abdul Majid, Zanariah
Ahmad, Abd Ghafur
spellingShingle Chaharborj, Sarkhosh Seddighi
Ismail, Fudziah
Abu Bakar, Mohd Rizam
Chaharborj, Reza Seddighi
Abdul Majid, Zanariah
Ahmad, Abd Ghafur
The use of generation stochastic models to study an epidemic disease
author_facet Chaharborj, Sarkhosh Seddighi
Ismail, Fudziah
Abu Bakar, Mohd Rizam
Chaharborj, Reza Seddighi
Abdul Majid, Zanariah
Ahmad, Abd Ghafur
author_sort Chaharborj, Sarkhosh Seddighi
title The use of generation stochastic models to study an epidemic disease
title_short The use of generation stochastic models to study an epidemic disease
title_full The use of generation stochastic models to study an epidemic disease
title_fullStr The use of generation stochastic models to study an epidemic disease
title_full_unstemmed The use of generation stochastic models to study an epidemic disease
title_sort use of generation stochastic models to study an epidemic disease
publisher Springer
publishDate 2013
url http://psasir.upm.edu.my/id/eprint/30364/1/The%20use%20of%20generation%20stochastic%20models%20to%20study%20an%20epidemic%20disease.pdf
http://psasir.upm.edu.my/id/eprint/30364/
_version_ 1643830036844773376
score 13.211869

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