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

Qun Liu, Daqing Jiang, Ningzhong Shi, Tasawar Hayat and Bashir Ahmad

Physica A: Statistical Mechanics and its Applications, 2017, vol. 476, issue C, 58-69

Abstract: In this paper, we consider a stochastic SEIR epidemic model with standard incidence. By constructing suitable stochastic Lyapunov functions, we establish sufficient conditions for the existence of ergodic stationary distribution to the model. Our result does not depend on the positive endemic equilibrium E∗ of the deterministic system, which improves the previous result to a greater extent. Moreover, we also establish sufficient conditions for extinction of the disease.

Keywords: Stochastic SEIR epidemic model; Stationary distribution; Extinction; Lyapunov function (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (27)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:476:y:2017:i:c:p:58-69

DOI: 10.1016/j.physa.2017.02.028

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