D. Kiouach

Diffusion Approximation of Stochastic SIR Epidemic Model

D. Kiouach · Journal of Advances in Mathematics and Computer Science · 2014

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,...