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Optimal Control Model for the Transmission of Novel COVID-19

Computers, Materials & Continua 2021年第3期66卷 3089-3106页

作者： Isa Abdullahi Baba Bashir Ahmad Nasidi Dumitru Baleanu Department of Mathematical Sciences Bayero University KanoNigeria Department of Mathematics Cankaya UniversityAnkara06530Turkey Institute of Space Sciences BucharestRomania Department of Medical Research China Medical University HospitalTaichungTaiwan

As the corona virus(COVID-19)pandemic ravages socio-economic activities in addition to devastating infectious and fatal consequences,optimal control strategy is an effectivemeasure that neutralizes the scourge to its lowest *** this paper,we present a mathematical model for the dynamics of COVID-19,and then we added an optimal control function to the model in order to effectively control the *** incorporate three main control efforts(isolation,quarantine and hospitalization)into the model aimed at controlling the spread of the *** efforts are further subdivided into five functions;u1(t)(isolation of the susceptible communities),u2(t)(contact track measure by which susceptible individuals with contact history are quarantined),u3(t)(contact track measure by which infected individualsare quarantined),u4(t)(control effort of hospitalizing the infected I1)and u5(t)(control effort of hospitalizing the infected I2).We establish the existence of the optimal control and also its characterization by applying pontryaging maximum *** disease free equilibrium solution(DFE)is found to be locally asymptotically stable and subsequently we used it to obtain the key parameter;basic reproduction *** constructed Lyapunov function to which global stability of the solutions is *** simulations show how adopting the available control measures optimally,will drastically reduce the infectious populations.

关键词： COVID-19 optimal control pontryaging maximum principle mathematical model existence of control stability analysis

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