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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Bibliographic Details
Published inInfectious disease modelling Vol. 7; no. 2; pp. 211 - 249
Main Authors Tadmon, Calvin, Foko, Severin
Format Journal Article
LanguageEnglish
Published China Elsevier B.V 01.06.2022
KeAi Publishing
KeAi Communications Co., Ltd
Subjects
34D23
37B25
49J15
COVID-19
Global stability
Lyapunov function
ODE model
Optimal control
Original
COVID-19
ODE model
34D23
Global stability
Optimal control
37B25
49J15
Lyapunov function
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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.
Bibliography:ObjectType-Article-1
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content type line 23
ISSN:2468-0427
2468-2152
2468-0427
DOI:10.1016/j.idm.2022.05.002