Dynamical behavior of a stochastic SEI epidemic model with saturation incidence and logistic growth

Zhongwei Cao, Wei Feng, Xiangdan Wen and Li Zu

Physica A: Statistical Mechanics and its Applications, 2019, vol. 523, issue C, 894-907

Abstract: In this paper, we investigate the dynamical behavior of a stochastic SEI epidemic model with saturation incidence and logistic growth. Firstly, by constructing a suitable stochastic Lyapunov function, we establish sufficient conditions for the existence and uniqueness of an ergodic stationary distribution of the solutions to the model. Then we obtain sufficient conditions for extinction of the disease in two cases, that is, the first case is that the susceptible population survival and infected and exposed populations extinction; the second case is that all the populations extinction.

Keywords: Stochastic SEI epidemic model; Stationary distribution; Ergodicity; Extinction; Saturation incidence and logistic growth (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:523:y:2019:i:c:p:894-907

DOI: 10.1016/j.physa.2019.04.228

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