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The use of generation stochastic models to study an epidemic disease

DOI: 10.1186/1687-1847-2013-7

Keywords: epidemic diseases, susceptible-infective-susceptible, deterministic model, stochastic model, probability function

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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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