Diffusion Approximation of Stochastic SIR Epidemic Model

Kiouach, D. (2014) Diffusion Approximation of Stochastic SIR Epidemic Model. British Journal of Mathematics & Computer Science, 6 (3). pp. 165-171. ISSN 22310851

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Abstract

In this work we consider the general stochastic SIR (Susceptible - Infected - Removed) epidemic model with the transition intensity q(S,I),(S−1,I+1) = βg(S)I, where g(x) is a function density dependent. An approximation of the final size by a diffusion process is given. Finally, I introduce some numerical simulation graphics to illustrate the main result.

Item Type: Article
Subjects: ScienceOpen Library > Mathematical Science
Depositing User: Managing Editor
Date Deposited: 30 Jun 2023 04:33
Last Modified: 24 Jul 2024 09:29
URI: http://scholar.researcherseuropeans.com/id/eprint/1485

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