%0 Journal Article
%T The use of generation stochastic models to study an epidemic disease
%A S Seddighi Chaharborj
%A I Fudziah
%A MR Abu Bakar
%A R Seddighi Chaharborj
%A ZA Majid
%A and AGB Ahmad
%J Advances in Difference Equations
%D 2013
%I 
%R 10.1186/1687-1847-2013-7
%X 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 ¦Ì, ¦Â and ¦Ã parameters.
%K epidemic diseases
%K susceptible-infective-susceptible
%K deterministic model
%K stochastic model
%K probability function
%U http://www.advancesindifferenceequations.com/content/2013/1/7/abstract