UPM Institutional Repository

The use of generation stochastic models to study an epidemic disease


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


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.

Download File

PDF (Abstract)
The use of generation stochastic models to study an epidemic disease.pdf

Download (176kB) | Preview

Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1186/1687-1847-2013-7
Publisher: Springer
Keywords: Deterministic model; Epidemic diseases; Probability function; Stochastic model; Susceptible-infective-susceptible.
Depositing User: Umikalthom Abdullah
Date Deposited: 23 Oct 2014 08:46
Last Modified: 15 Sep 2015 02:07
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1186/1687-1847-2013-7
URI: http://psasir.upm.edu.my/id/eprint/30364
Statistic Details: View Download Statistic

Actions (login required)

View Item View Item