@Article{JNMA-5-24,
author = {Wang , XinghaoZhang , Liang and Guo , Jiajun},
title = {Dynamics of a Deterministic and Stochastic Susceptible-Exposed-Infectious-Recovered Epidemic Model},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2023},
volume = {5},
number = {1},
pages = {24--53},
abstract = {<p style="text-align: justify;">We investigate a susceptible-exposed-infectious-recovered (SEIR)
epidemic model with asymptomatic infective individuals. First, we formulate
a deterministic model, and give the basic reproduction number $R_0.$ We show
that the disease is persistent, if $R_0 &gt; 1,$ and it is extinct, if $R_0 &lt; 1.$ Then,
we formulate a stochastic version of the deterministic model. By constructing
suitable stochastic Lyapunov functions, we establish sufficient criteria for the
extinction and the existence of ergodic stationary distribution to the model.
As a case, we study the COVID-19 transmission in Wuhan, China, and perform some sensitivity analysis. Our numerical simulations are carried out to
illustrate the analytic results.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2023.24},
url = {http://global-sci.org/intro/article_detail/jnma/21915.html}
}