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Stationary distribution and extinction of a stochastic SIRI epidemic model with relapse
Journal article   Peer reviewed

Stationary distribution and extinction of a stochastic SIRI epidemic model with relapse

Qun Liu, Daqing Jiang, Tasawar Hayat and Bashir Ahmad
Stochastic analysis and applications, Vol.36(1), pp.138-151
02/01/2018
DOI: https://doi.org/10.1080/07362994.2017.1378897

Abstract

extinction Lyapunov function stationary distribution and ergodicity Stochastic SIRI epidemic model
In this paper, we study the dynamics of a stochastic Susceptible-Infective-Removed-Infective (SIRI) epidemic model with relapse. By constructing a suitable stochastic Lyapunov function, we establish sufficient conditions for the existence of an ergodic stationary distribution to the model. Moreover, sufficient conditions for extinction of the disease are also obtained.

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