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Extinction and Stationary Distribution of a Stochastic SIRS Epidemic Model Incorporating Media Coverage

Extinction and Stationary Distribution of a Stochastic SIRS Epidemic Model Incorporating Media Coverage

In this paper, we include stochastic perturbation into SIRS epidemic model incorporating media coverage and study their dynamics. Our model is obtained by taking into account both for demographic stochasticity and environmental fluctuations on contact rate before alert media β1. First, we show that the model is biologically well-posed by …