  In this paper, we consider a stochastic SIRS model with general incidence
rate and perturbed by both white noise and color noise. We determine the
threshold $\lambda$ that is used to classify the extinction and permanence of
the disease. In particular, $\lambda<0$ implies that the disease-free $(K, 0,
0)$ is globally asymptotic stable, i.e., the disease will eventually disappear.
If $\lambda>0$ the epidemic is strongly stochastically permanent. Our result is
considered as a significant generalization and improvement over the results in
\cite{HZ1, GLM1, LOK1, SLJJ1, ZJ1}.
