The Global Dynamics for a Stochastic SIS Epidemic Model with Isolation

Overview

Journal Physica A

Date 2020 Apr 15

PMID 32288103

Citations 3

Authors

Yiliang Chen

Buyu Wen

Zhidong Teng

Affiliations

Soon will be listed here.

Abstract

In this paper, we investigate the dynamical behavior for a stochastic SIS epidemic model with isolation which is as an important strategy for the elimination of infectious diseases. It is assumed that the stochastic effects manifest themselves mainly as fluctuation in the transmission coefficient, the death rate and the proportional coefficient of the isolation of infective. It is shown that the extinction and persistence in the mean of the model are determined by a threshold value . That is, if , then disease dies out with probability one, and if , then the disease is stochastic persistent in the means with probability one. Furthermore, the existence of a unique stationary distribution is discussed, and the sufficient conditions are established by using the Lyapunov function method. Finally, some numerical examples are carried out to confirm the analytical results.

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