Stationary distribution of a stochastic delayed SVEIR epidemic model with vaccination and saturation incidence

Qun Liu, Daqing Jiang, Tasawar Hayat and Ahmed Alsaedi

Physica A: Statistical Mechanics and its Applications, 2018, vol. 512, issue C, 849-863

Abstract: In this paper, we develop and analyze a stochastic delayed SVEIR epidemic model with vaccination and saturation incidence. By constructing a suitable stochastic Lyapunov function, we establish sufficient conditions for the existence and uniqueness of an ergodic stationary distribution of the positive solutions to the model. The existence of a stationary distribution implies stochastic weak stability. Numerical simulations are introduced to illustrate the analytical result.

Keywords: SVEIR epidemic model; Vaccination; Saturation incidence; Stationary distribution and ergodicity; Time delay (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:512:y:2018:i:c:p:849-863

DOI: 10.1016/j.physa.2018.08.054

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