A transmission dynamics model of COVID-19:Case of Cameroon  

作　　者：Calvin Tadmon Severin Foko 

机构地区：[1]Department of Mathematics and Computer Science,Faculty of Science,University of Dschang,P.O.Box:67,Dschang,Cameroon [2]The Abdus Salam International Centre for Theoretical Physics,Strada Costiera 11,34151,Trieste,Italy

出　　处：《Infectious Disease Modelling》2022年第2期211-249,共39页传染病建模（英文）

摘　　要：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 Rc1 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.

关 键 词：COVID-19 ODE model Global stability Lyapunov function Optimal control 

分 类 号：R563.1[医药卫生—呼吸系统]