Browsing by Author "Baba, Isa Abdullahi"

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A mathematical model to optimize the available control measures of
(2021) Baba, Isa Abdullahi; Nasidi, Bashir Ahmad; Baleanu, Dumitru; Saadi, Sultan Hamed; 56389
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 Count: Baba, Isa Abdullahi...et al. (2020). "Analysis of meningitis model: A case study of northern Nigeria", AIMS Bioengineering, Vol. 7, No. 4, pp. 179-193.
Analysis of meningitis model: A case study of northern Nigeria
(2020) Baba, Isa Abdullahi; Olamilekan, Lawal Ibrahi; Yusuf, Abdullahi; Baleanu, Dumitru; 56389
A new strain of meningitis emerges in northern Nigeria, which brought a lot of confusion. This is because vaccine and treatment for the old strain was adopted but to no avail. It was later discovered that it was a new strain that emerged. In this paper we consider the two strains of meningitis (I 1 and I 2). Our aim is to analyse the effect of one strain on the dynamics of the other strain mathematically. Equilibrium solutions were obtained and their global stability was analysed using Lyaponuv function. It was shown that the stability depends on magnitude of the basic reproduction ratio. The coexistence of the two strains was numerically shown.
Citation Count: Baba, Isa Abdullahi; Baleanu, Dumitru (2020). "Awareness as the Most Effective Measure to Mitigate the Spread of COVID-19 in Nigeria", CMC-Computers Materials & Continua, Vol. 65, No. 3, pp. 1945-1957.
Awareness as the Most Effective Measure to Mitigate the Spread of COVID-19 in Nigeria
(2020) Baba, Isa Abdullahi; Baleanu, Dumitru; 56389
A mathematical model consisting of a system of four nonlinear ordinary differential equations is constructed. Our aim is to study the dynamics of the spread of COVID-19 in Nigeria and to show the effectiveness of awareness and the need for relevant authorities to engage themselves more in enlightening people on the significance of the available control measures in mitigating the spread of the disease. Two equilibrium solutions; Disease free equilibrium and Endemic equilibrium solutions were calculated and their global stability analysis was carried out. Basic reproduction ratio (R-0) was also obtained, in this research R-0 = 3.0784. Data obtained for Nigeria is used to conduct numerical simulations in order to support the analytic result and to show the significance of awareness in controlling the disease spread. From the simulation result, it was shown that to mitigate the spread of COVID-19 in Nigeria there is need for serious awareness programs to enlighten people on the available control measures; social distancing, self-isolation, use of personal protective equipment (such as face mask, hand globes, overall gown, etc.), regular hand washing using soap or sanitizer, avoiding having contact with person showing the symptoms and reporting any suspected case.
Citation Count: Baba, Isa Abdullahi;...et.al. (2022). "Numerical And Theoretical Analysis Of An Awareness Covid-19 Epidemic Model Via Generalized Atangana-Baleanu Fractional Derivative", Journal of Applied Mathematics and Computational Mechanics, Vol.21, No.1, pp.7-18.
Numerical And Theoretical Analysis Of An Awareness Covid-19 Epidemic Model Via Generalized Atangana-Baleanu Fractional Derivative
(2022) Baba, Isa Abdullahi; Ahmed, Idris; Al-Mdallal, Qasem M.; Jarad, Fahd; Yunusa, Salisu; 234808
In this paper, a COVID-19 Awareness model in the setting of a generalized fractional Atangana-Baleanu derivative is proposed. The existence and uniqueness of a solution of the proposed fractional-order model are investigated under the techniques of fixed point theorems. In addition, we perform the predictor-corrector method to find its numeric solutions and present the graphs of the various solutions using different values of the parameters embodied in the derivative.
Citation Count: Baba, Isa Abdullahi; Nasidi, Bashir Ahmad; Baleanu, Dumitru (2021). "Optimal control model for the transmission of novel COVID-19", Computers, Materials and Continua, Vol. 66, No. 3, pp. 3089-3106.
Optimal control model for the transmission of novel COVID-19
(2021) Baba, Isa Abdullahi; Nasidi, Bashir Ahmad; Baleanu, Dumitru; 56389
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; 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 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.