1. School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan
430074; 2. Hubei Key Laboratory of Engineering Modeling and Scientific Computing, Huazhong
University of Science and Technology, Wuhan 430074
In this paper, we have considered a stochastic SIS
(susceptible-infected-susceptible) epidemic models with time delay.
We first prove the existence and uniqueness, extinction and
persistent of the system. Then we prove that it is able to make the
disease die out by reducing the stochastic disturbance that is
favorable to the spread of the disease, or increasing the stochastic
disturbance that is beneficial to reduce the infection. Moreover, we
study the factors that make the disease last for a long time.
Finally, we support our analytical results with numerical
simulations.
HUANG Pei, ZHOU Shaobo.
A Stochastic SIS Epidemic Model with Time Delay. Journal of Systems Science and Mathematical Sciences, 2021, 41(3): 615-626 https://doi.org/10.12341/jssms20236