Citation
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
Abstract
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.
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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 |
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