The chapter presents a new stochastic delayed SIR model that incorporates four determinant quantities; logistic growth, media coverage, delay time, and non-linear saturated incidence rate. Our study initiates by introducing the model and its parameters, then proving that a solution for this stochastic model does exist and it is unique hence establishing the basis of solid theoretical framework. In continuation, we check the positivity of solutions and prove disease extinction under given conditions to deepen our knowledge of epidemic dynamics. Moreover, we show the persistence of the disease on average and thus validating more our model’s stability. To assist our theoretical results, some numerical simulations are conducted later in this part as various scenarios like extinction and persistence are being explored. These simulations confirm our theoretical findings and give evidence to the validity of our model. Further still we utilize numerical simulation in order to understand how media awareness influences changes in media coverage rates as well as its impact on disease propagation through numerical simulations. Also, importantly psychic rates have had an impact on our proposed stochastic model which has enriched further our knowledge concerning epidemic dynamics. This investigation contributes to the field through strict theoretical analysis as well as empirical verification.