Ergodic stationary distribution of a stochastic SIRS epidemic model incorporating media coverage and saturated incidence rate

Yan Zhang, Kuangang Fan, Shujing Gao, Yingfen Liu and Shihua Chen

Physica A: Statistical Mechanics and its Applications, 2019, vol. 514, issue C, 671-685

Abstract: This study investigates the disease dynamics of a SIRS epidemic model as affected by environment fluctuations and media coverage. A unique global positive solution for the epidemic model is obtained. The stochastic endemic dynamics of the system is discussed by constructing suitable Lyapunov functions, and the ergodic stationary distribution of the stochastic model is established based on the method of Khasminskii. The extinction of the epidemic disease is also analyzed.

Keywords: Media coverage; Stationary distribution; Stochastic epidemic model (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:514:y:2019:i:c:p:671-685

DOI: 10.1016/j.physa.2018.09.124

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