Abstract
Disease transmission play prominent role in the course of infection dynamics in any epidemic outbreak. A mathematical probe on the stochastic dynamics of SICR model structure with generalized incidence rate and three time delays forms the crux of this article. With Lyapunov theory, the existence of unique positive global solution, and the predictable lanes for both the extinction and persistence of disease in the community have been explored. Also, we exemplify the existence of unique ergodic stationary distribution in the system. Theoretical establishments are supplemented with numerical substantiations to depict real dynamics.
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