Asymptotic behavior of a stochastic delayed SEIR epidemic model with nonlinear incidence

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

Physica A: Statistical Mechanics and its Applications, 2016, vol. 462, issue C, 870-882

Abstract: This paper is concerned with a stochastic delayed SEIR epidemic model with nonlinear incidence. Firstly we verify that there exists a unique global positive solution of the system. Then by constructing some suitable Lyapunov functions, we study the asymptotic behaviors of the disease-free equilibrium and the endemic equilibrium respectively.

Keywords: Stochastic SEIR epidemic model; Time delays; Nonlinear incidence; Lyapunov function (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (19)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:462:y:2016:i:c:p:870-882

DOI: 10.1016/j.physa.2016.06.095

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