@Article{AAM-36-4,
author = {Zhang, Jing and Wei, Fengying},
title = {Effects of Media Coverage and Temporary Immunity to a Stochastic SEIR Epidemic Model},
journal = {Annals of Applied Mathematics},
year = {2020},
volume = {36},
number = {4},
pages = {442--458},
abstract = {<p style="text-align: justify;">A type of SEIR epidemic model with media coverage and temporary immunity is investigated in this paper. The existence and uniqueness of the
global positive solution with any positive initial value is proved. Under the
condition $R^s_0 &gt; 1$, we prove that the disease is persistent in the mean for a
long run. Furthermore, by constructing suitable Lyapunov functions, some
sufficient conditions that guarantee the existence of stationary distribution are
derived. We also obtain that, if the condition $R^e_0 &lt; 1$ is satisfied, then the
disease is extinct with an exponential rate. As a consequence, some examples
and numerical simulation are demonstrated to show the validity and feasibility
of the theoretical results.</p>},
issn = {},
doi = {https://doi.org/2020-AAM-18593},
url = {https://global-sci.com/article/72676/effects-of-media-coverage-and-temporary-immunity-to-a-stochastic-seir-epidemic-model}
}