Stationary distribution and extinction of a stochastic SIRS epidemic model with standard incidence

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

Physica A: Statistical Mechanics and its Applications, 2017, vol. 469, issue C, 510-517

Abstract: In this paper, we consider a stochastic SIRS epidemic model with standard incidence. By constructing suitable stochastic Lyapunov function, we establish sufficient conditions for the existence of ergodic stationary distribution of the model. Moreover, we also establish sufficient conditions for extinction of the disease.

Keywords: Stochastic SIRS epidemic model; Stationary distribution; Extinction; Nonlinear incidence (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (35)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:469:y:2017:i:c:p:510-517

DOI: 10.1016/j.physa.2016.11.077

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