@Article{JNMA-5-73,
author = {Liu , YuboLi , Jianli and Kuang , Daipeng},
title = {Dynamics of a Stochastic SIR Epidemic Model with Logistic Growth},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2023},
volume = {5},
number = {1},
pages = {73--94},
abstract = {<p style="text-align: justify;">In this paper, a stochastic SIR epidemic model with saturated
treatment function, non-monotone incidence rate and logistic growth is studied. First, we prove that the stochastic model has a unique global positive
solution. Next, by constructing a suitable Lyapunov function, we can show
that there exists an ergodic stationary distribution in the random SIR model.
Then, we show that a sufficient condition can make the disease tend to extinction. Finally, some numerical simulations are used to prove our analytical
result.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2023.73},
url = {http://global-sci.org/intro/article_detail/jnma/21917.html}
}