To be more precise about the real world activity, a stochastic multigroup SEIR epidemic model is formulated. we define the basic reproduction number and show that it is a sharp threshold for the dynamics of SDE model. If , the disease-free equilibrium is asymptotically stable; and if , the disease persists and there exists a globally asymptotically stable stationary distribution. Numerical simulation examples are carried out to substantiate the analytical results.
"Dynamics of a Stochastic Multigroup SEIR Epidemic Model." J. Appl. Math. 2014 1 - 9, 2014. https://doi.org/10.1155/2014/258915