TY - JOUR T1 - The use of generation stochastic models to study an epidemic disease A1 - Chaharborj, Sarkhosh Seddighi LA - English LA - English PB - Springer YR - 2013 UL - http://discoverylib.upm.edu.my/discovery/Record/oai:psasir.upm.edu.my:30364 AB - 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. ER -