@Article{JNMA-4-1,
author = {Boulfoul, Bilal and Kerboua, Adlen and Zhou, Xueyong},
title = {Mathematical Modeling and Analysis of an Epidemic Model with Quarantine, Latent and Media Coverage},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2022},
volume = {4},
number = {1},
pages = {42--63},
abstract = {<p style="text-align: justify;">Epidemic models are very important in today’s analysis of diseases. In this paper, we propose and analyze an epidemic model incorporating
quarantine, latent, media coverage and time delay. We analyze the local stability of either the disease-free and endemic equilibrium in terms of the basic
reproduction number $R_0$ as a threshold parameter. We prove that if $R_0 &lt; 1,$ the time delay in media coverage can not affect the stability of the disease-free equilibrium and if $R_0 &gt; 1,$ the model has at least one positive endemic
equilibrium, the stability will be affected by the time delay and some conditions for Hopf bifurcation around infected equilibrium to occur are obtained
by using the time delay as a bifurcation parameter. We illustrate our results
by some numerical simulations such that we show that a proper application of
quarantine plays a critical role in the clearance of the disease, and therefore a
direct contact between people plays a critical role in the transmission of the
disease.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2022.42},
url = {https://global-sci.com/article/87907/mathematical-modeling-and-analysis-of-an-epidemic-model-with-quarantine-latent-and-media-coverage}
}