Qualitative study of a stochastic SIRS epidemic model with information intervention

Xihua Jin and Jianwen Jia

Physica A: Statistical Mechanics and its Applications, 2020, vol. 547, issue C

Abstract: In this paper, we consider a stochastic SIRS epidemic model with information intervention. First of all, the existence and uniqueness of the global positive solution are obtained. Then, we derive sufficient conditions for the extinction and persistence of the disease. Moreover, by establishing appropriate Lyapunov function, the existence of a stationary distribution is discussed. Some numerical simulations are given to illustrate our analytical results.

Keywords: SIRS model; Extinction; Persistence; Stationary distribution; Information intervention (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:547:y:2020:i:c:s037843711932148x

DOI: 10.1016/j.physa.2019.123866

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