The threshold of a stochastic SIS epidemic model with imperfect vaccination

Qun Liu, Daqing Jiang, Ningzhong Shi, Tasawar Hayat and Ahmed Alsaedi

Mathematics and Computers in Simulation (MATCOM), 2018, vol. 144, issue C, 78-90

Abstract: In this paper, we analyze the threshold RvS of a stochastic SIS epidemic model with partially protective vaccination of efficacy e∈[0,1]. Firstly, we show that there exists a unique global positive solution of the stochastic system. Then RvS>1 is verified to be sufficient for persistence in the mean of the system. Furthermore, three conditions for the disease to die out are given, which improve the previously-known results on extinction of the disease. We also obtain that large noise will exponentially suppress the disease from persisting regardless of the value of the basic reproduction number RvS.

Keywords: Stochastic SIS epidemic model; Imperfect vaccination; Threshold; Persistence in the mean; Extinction (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:144:y:2018:i:c:p:78-90

DOI: 10.1016/j.matcom.2017.06.004

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