AUTHOR=Ajbar Abdelhamid , Alqahtani Rubayyi T. , Boumaza Mourad 

TITLE=Dynamics of an SIR-Based COVID-19 Model With Linear Incidence Rate, Nonlinear Removal Rate, and Public Awareness

JOURNAL=Frontiers in Physics

VOLUME=Volume 9 - 2021

YEAR=2021

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2021.634251

DOI=10.3389/fphy.2021.634251

ISSN=2296-424X

ABSTRACT=The paper studies the dynamics of the classical susceptible-infectious-removed (SIR) model when applied to the transmission of COVID-19 disease. The model includes  the classical linear incidence rate but considers a variable recovery rate that depends on the  hospital-bed population ratio. The model also includes the  effects of media on public awareness that may lead to a decrease in the disease transmission.    We prove that when the basic reproduction number is less than unity, the  model can exhibit a number of nonlinear phenomena including  saddle-node, backward and Hopf bifurcations.   Numerical simulations, based on some parameters' values associated with Saudi Arabia, are also provided to supplement the theoretical analysis and to delineate the effects of hospital-bed population ratio and media coverage on the disease control.