Dynamic behaviors of a two-group stochastic SIRS epidemic model with standard incidence rates

Zhongwei Cao, Yuee Shi, Xiangdan Wen, Huishuang Su and Xue Li

Physica A: Statistical Mechanics and its Applications, 2020, vol. 554, issue C

Abstract: This paper deals with a two-group stochastic SIRS epidemic model with standard incidence rates. On one hand, we establish sufficient conditions for the existence of a stationary distribution of the positive solutions to the model by constructing a suitable stochastic Lyapunov function. On the other hand, we show the sufficient conditions for the diseases to be extinct.

Keywords: Two-group SIRS epidemic model; Stationary distribution; Extinction; Standard incidence rates (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:554:y:2020:i:c:s037843712030306x

DOI: 10.1016/j.physa.2020.124628

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