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

Hongxia Liu, Juan Li, Mengnan Chi, Jinlei Liu and Wencai Zhao

Complexity, 2020, vol. 2020, 1-10

Abstract:

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 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.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:4574510

DOI: 10.1155/2020/4574510

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