A transmission dynamics model of COVID-19:Case of Cameroon
作者机构:Department of Mathematics and Computer ScienceFaculty of ScienceUniversity of DschangP.O.Box:67DschangCameroon The Abdus Salam International Centre for Theoretical PhysicsStrada Costiera 1134151TriesteItaly
出 版 物:《Infectious Disease Modelling》 (传染病建模(英文))
年 卷 期:2022年第7卷第2期
页 面:211-249页
学科分类:0710[理学-生物学] 1004[医学-公共卫生与预防医学(可授医学、理学学位)] 1002[医学-临床医学] 100201[医学-内科学(含:心血管病、血液病、呼吸系病、消化系病、内分泌与代谢病、肾病、风湿病、传染病)] 10[医学]
主 题:COVID-19 ODE model Global stability Lyapunov function Optimal control
摘 要:In this work,we propose and investigate an ordinary differential equations model describing the spread of COVID-19 in *** 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 *** 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***,an optimal control problem is derived and investigated theoretically by mainly relying on Pontryagin s maximum *** illustrate the theoretical analysis by presenting some graphical results.