@Article{JNMA-7-514,
author = {Jiang , YanhuiGao , MiaomiaoJiang , Daqing and Ding , Jieyu},
title = {The Influence of Environmental Variability and Media Coverage on the Dynamics of an Epidemic Model},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2025},
volume = {7},
number = {2},
pages = {514--551},
abstract = {<p style="text-align: justify;">Various infectious diseases seriously affect human health and social
economy. It is a never-ending battle that human beings fight against infectious diseases. Media coverage has been an important weapon in virus war and
has contributed to the epidemic prevention. In this paper, we focus on the
dynamics of a stochastic SIRS epidemic model with media coverage and two
mean-reverting Ornstein-Uhlenbeck processes. Firstly, we present the existence and uniqueness of the solution. Then, the sufficient condition for disease
extinction is provided. In order to get the condition for disease persistence,
we verify the existence of stationary distribution by constructing appropriate
Lyapunov functions. Moreover, it is theoretically proved that the solution follows a normal probability density function around the endemic equilibrium of
corresponding deterministic model. Finally, some numerical simulations are
carried out to confirm theoretical results.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2025.514},
url = {http://global-sci.org/intro/article_detail/jnma/24014.html}
}