Analysis of a new SIR-M epidemic model with infection during transport

Zakaria Khatar, Dounia Bentaleb, Omar Bouattane

Abstract


In this paper, we propose a new epidemic SIR model with infection during transport, SIR-M. Under biologically motivated assumptions, we prove the positivity and boundedness of the solutions, calculate the basic reproduction number and the disease-free equilibrium. We prove that the disease-free equilibrium is globally asymptomatically stable if R0 is less than one, and then propose a generalized SIR-M model with n interacting populations. Finally, we numerically compare the behavior of the disease in different scenarios such as the perfect exit screening scenario, the mobility of infectious individuals from a single population, the prohibition of mobility (confinement), etc. We find that the use of certain health and precautionary measures such as screening, border control methods and containment, could significantly reduce the spread of the disease in both populations. On the other hand, the lack of control of the mobility of individuals may lead to a chaotic dispersion of the disease in both populations.

Full Text: PDF

Published: 2021-10-12

How to Cite this Article:

Zakaria Khatar, Dounia Bentaleb, Omar Bouattane, Analysis of a new SIR-M epidemic model with infection during transport, Commun. Math. Biol. Neurosci., 2021 (2021), Article ID 81

Copyright © 2021 Zakaria Khatar, Dounia Bentaleb, Omar Bouattane. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Commun. Math. Biol. Neurosci.

ISSN 2052-2541

Editorial Office: office@scik.org

 

Copyright ©2021 CMBN