Mathematical Modelling and Optimal Control Strategies of a Multistrain COVID-19 Spread

被引:4
|
作者
Khajji, Bouchaib [1 ]
Boujallal, Lahoucine [2 ]
Balatif, Omar [3 ]
Rachik, Mostafa [1 ]
机构
[1] Hassan II Univ, AMS Lab, FS Ben MSik, Casablanca, Morocco
[2] Hassan II Univ, LMFA Lab, FS Ain Chock, Casablanca, Morocco
[3] Chouaib Doukkali Univ, DS Lab, FS Jadida, El Jadida, Morocco
关键词
D O I
10.1155/2022/9071890
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we propose a continuous mathematical model that describes the spread of multistrains COVID-19 virus among humans: susceptible, exposed, infected, quarantined, hospitalized, and recovered individuals. The positivity and boundedness of the system solution are provided in order to get the well posedness of the proposed model. Secondly, three controls are considered in our model to minimize the multistrain spread of the disease, namely, vaccination, security campaigns, social distancing measures, and diagnosis. Furthermore, the optimal control problem and related optimality conditions of the Pontryagin type are discussed with the objective to minimize the number of infected individuals. Finally, numerical simulations are performed in the case of two strains of COVID-19 and with four control strategies. By using the incremental cost-effectiveness ratio (ICER) method, we show that combining vaccination with diagnosis provides the most cost-effective strategy.
引用
收藏
页数:14
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