TY - JOUR
T1 - Persistence and Extinction of a Stochastic SIS Epidemic Model with Double Epidemic Hypothesis
AU - Xue , Rui
AU - Wei , Fengying
JO - Annals of Applied Mathematics
VL - 1
SP - 77
EP - 89
PY - 2022
DA - 2022/06
SN - 33
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/aam/20596.html
KW - double epidemic hypothesis, Brownian motion, extinction,
persistence.
AB - <p style="text-align: justify;">In this paper, we aim at dynamical behaviors of a stochastic SIS epidemic
model with double epidemic hypothesis. Sufficient conditions for the extinction
and persistence in mean are derived via constructing suitable functions. We
obtain a threshold of stochastic SIS epidemic model, which determines how
the diseases spread when the white noises are small. Numerical simulations
are used to illustrate the efficiency of the main results of this article.</p>