Ergodicity of a Nonlinear Stochastic SIRS Epidemic Model with Regime-Switching Diffusions

الملخص EN

In this paper, taking both white noises and colored noises into consideration, a nonlinear stochastic SIRS epidemic model with regime switching is explored.

The threshold parameter Rs is found, and we investigate sufficient conditions for the existence of the ergodic stationary distribution of the positive solution.

Finally, some numerical simulations are also carried out to demonstrate the analytical results.