Browsing by Author "Nasidi, Bashir Ahmad"

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Citation - WoS: 3
Citation - Scopus: 5
A mathematical model to optimize the available control measures of
(Elsevier, 2021) Baba, Isa Abdullahi; Baleanu, Dumitru; Nasidi, Bashir Ahmad; Baleanu, Dumitru; Saadi, Sultan Hamed; 56389; Matematik
In the absence of valid medicine or vaccine for treating the pandemic Coronavirus (COVID-19) infection, other control strategies like; quarantine, social distancing, self- isolation, sanitation and use of personal protective equipment are effective tool used to prevent and curtail the spread of the disease. In this paper, we present a mathematical model to study the dynamics of COVID-19. We then formulate an optimal control problem with the aim to study the most effective control strategies to prevent the proliferation of the disease. The existence of an optimal control function is established and the Pontryagin maximum principle is applied for the characterization of the controller. The equilibrium solutions (DFE & endemic) are found to be locally asymptotically stable and subsequently the basic reproduction number is obtained. Numerical simulations are carried out to support the analytic results and to explicitly show the significance of the control. It is shown that Quarantine/isolating those infected with the disease is the best control measure at the moment.
Citation - WoS: 21
Citation - Scopus: 24
Optimal control model for the transmission of novel COVID-19
(Tech Science Press, 2021) Baba, Isa Abdullahi; Baleanu, Dumitru; Nasidi, Bashir Ahmad; Baleanu, Dumitru; 56389; Matematik
As the corona virus (COVID-19) pandemic ravages socio-economic activities in addition to devastating infectious and fatal consequences, optimal control strategy is an effective measure that neutralizes the scourge to its lowest ebb. In 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 outbreak. We incorporate three main control efforts (isolation, quarantine and hospitalization) into the model aimed at controlling the spread of the pandemic. These efforts are further subdivided into five functions; u(1)(t) (isolation of the susceptible communities), u(2)(t) (contact track measure by which susceptible individuals with contact history are quarantined), u(3)(t) (contact track measure by which infected individualsare quarantined), u(4)(t) (control effort of hospitalizing the infected I-1) and u(5)(t) (control effort of hospitalizing the infected I-2). We establish the existence of the optimal control and also its characterization by applying Pontryaging maximum principle. The disease free equilibrium solution (DFE) is found to be locally asymptotically stable and subsequently we used it to obtain the key parameter; basic reproduction number. We constructed Lyapunov function to which global stability of the solutions is established. Numerical simulations show how adopting the available control measures optimally, will drastically reduce the infectious populations.