Diffusion Approximation of Stochastic SIR Epidemic Model
Journal of Advances in Mathematics and Computer Science · pp. 165–171 · Published 27 Dec 2014
10.9734/BJMCS/2015/14808Abstract
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.
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