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Modeling the dynamics of COVID-19 with carrier effect and environmental contamination

Centre Régional des Métiers de l’Education et de la Formation (CRMEF), 20340 Derb Ghalef, Casablanca, Morocco

Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’sik, Hassan II University of Casablanca, P. O. Box 7955 Sidi Othman, Casablanca, Morocco

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Ahmed A. Mohsen

https://orcid.org/0000-0003-3812-8918

Department of Mathematics, College of Education for Pure Science (Ibn Al-Haitham), University of Baghdad, Iraq

Ministry of Education, Rusafa 1, Baghdad, Iraq

E-mail Address: aamuhseen@gmail.com

Corresponding author.

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Jamal Harraq

Centre Régional des Métiers de l’Education et de la Formation (CRMEF), 20340 Derb Ghalef, Casablanca, Morocco

Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’sik, Hassan II University of Casablanca, P. O. Box 7955 Sidi Othman, Casablanca, Morocco

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, and

Naceur Achtaich

Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’sik, Hassan II University of Casablanca, P. O. Box 7955 Sidi Othman, Casablanca, Morocco

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https://doi.org/10.1142/S1793962321500483Cited by:18 (Source: Crossref)

This article is part of the issue:

Special Issue: Modeling and Simulation Addressing the COVID-19 Crisis
Featured Editors: Agostino Bruzzone and Joe Rosen

Abstract

Nowadays, coronavirus disease 2019 (COVID-19) poses a major threat to humanity which is caused by a novel coronavirus in Wuhan, China, at the end of December 2019. This novel coronavirus named the severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) according to the International Committee on Taxonomy of Viruses (ICTV). It spreads directly through close contact with an asymptomatic (carrier) or symptomatic person who is coughing, sneezing, talking, singing and kissing. It also spreads indirectly through contact with an environment contaminated by viral particles of SARS-COV-2. In the absence of effective treatment against COVID-19, awareness can play an important role in reducing cases of COVID-19. In this study, we develop a mathematical model to better describe the dynamics of COVID-19 by taking into account the above modes of transmission and the prosocial awareness. The existence, uniqueness, positivity and boundedness of solutions of the model are discussed. All possible equilibrium points are determined. The local asymptotic stability of these equilibrium points is studied. Suitable Lyapunov functionals are constructed to investigate the global dynamics of the model.

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