Witbooi, Peter J.2017-10-132017-10-132013Witbooi, P. J. (2013). Stability of an SEIR epidemic model with independent stochastic perturbations. Physica A, 392(20): 4928–49360378-4371http://dx.doi.org/10.1016/j.physa.2013.06.025http://hdl.handle.net/10566/3234For an epidemic model of the type mentioned, we prove a theorem on almost sure exponential stability of the disease-free equilibrium. For small values of the diffusion parameter, σ, we describe the stability of the disease free equilibrium point in terms of an appropriate analogue, Rσ , of the basic reproduction number R0 of the deterministic special case. Whenever σ > 0 then Rσ < R0. For small values of σ, the stability theorem guarantees almost sure exponential stability whenever Rσ < 1. We also discuss the effect of increasing σ.enThis is the author-version of the article published on: http://dx.doi.org/10.1016/j.physa.2013.06.025SEIRepidemicmodelstochastic perturbationsArticle