A transmission dynamics model of COVID-19: Case of Cameroon
In this work, we propose and investigate an ordinary differential equations model describing the spread of COVID-19 in Cameroon. The model takes into account the asymptomatic, unreported symptomatic, quarantine, hospitalized individuals and the amount of virus in the environment, for evaluating thei...
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Published in | Infectious disease modelling Vol. 7; no. 2; pp. 211 - 249 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
China
Elsevier B.V
01.06.2022
KeAi Publishing KeAi Communications Co., Ltd |
Subjects | |
Online Access | Get full text |
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Summary: | In this work, we propose and investigate an ordinary differential equations model describing the spread of COVID-19 in Cameroon. The model takes into account the asymptomatic, unreported symptomatic, quarantine, hospitalized individuals and the amount of virus in the environment, for evaluating their impact on the transmission of the disease. After establishing the basic properties of the model, we compute the control reproduction number Rc and show that the disease dies out whenever Rc≤1 and is endemic whenever Rc>1. Furthermore, an optimal control problem is derived and investigated theoretically by mainly relying on Pontryagin's maximum principle. We illustrate the theoretical analysis by presenting some graphical results. |
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Bibliography: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
ISSN: | 2468-0427 2468-2152 2468-0427 |
DOI: | 10.1016/j.idm.2022.05.002 |