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Mathematical analysis of the impact of the media coverage in mitigating the outbreak of COVID-19.

Authors :
Koutou, Ousmane
Diabaté, Abou Bakari
Sangaré, Boureima
Source :
Mathematics & Computers in Simulation. Mar2023, Vol. 205, p600-618. 19p.
Publication Year :
2023

Abstract

In this paper, a mathematical model with a standard incidence rate is proposed to assess the role of media such as facebook, television, radio and tweeter in the mitigation of the outbreak of COVID-19. The basic reproduction number R 0 which is the threshold dynamics parameter between the disappearance and the persistence of the disease has been calculated. And, it is obvious to see that it varies directly to the number of hospitalized people, asymptomatic, symptomatic carriers and the impact of media coverage. The local and the global stabilities of the model have also been investigated by using the Routh–Hurwitz criterion and the Lyapunov's functional technique, respectively. Furthermore, we have performed a local sensitivity analysis to assess the impact of any variation in each one of the model parameter on the threshold R 0 and the course of the disease accordingly. We have also computed the approximative rate at which herd immunity will occur when any control measure is implemented. To finish, we have presented some numerical simulation results by using some available data from the literature to corroborate our theoretical findings. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
03784754
Volume :
205
Database :
Academic Search Index
Journal :
Mathematics & Computers in Simulation
Publication Type :
Periodical
Accession number :
160631160
Full Text :
https://doi.org/10.1016/j.matcom.2022.10.017