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All Journal Journal of Mathematical and Fundamental Sciences
Oluwole Daniel Makinde
Faculty of Military Science, Stellenbosch University, Private Bag X2, Saldanha 7395, South Africa
Astronomy Chemistry Earth & Planetary Sciences Mathematics Physics

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Inherent Irreversibility of Mixed Convection within Concentric Pipes in a Porous Medium with Thermal Radiation Oluwole Daniel Makinde; Adetayo Samuel Eegunjobi
Journal of Mathematical and Fundamental Sciences Vol. 53 No. 3 (2021)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2021.53.3.5

Abstract

This work investigated the thermal putrefaction and inherent irreversibility in a steady flow of an incompressible inconstant viscosity radiating fluid within two concentric pipes filled with a porous medium. Following the Brinkmann-Darcy-Forchheimer approach, the nonlinear differential equations governing the model were obtained. The model boundary value problem was addressed numerically via a shooting quadrature with the Runge-Kutta-Fehlberg integration scheme. The effects of diverse emerging parameters on the fluid velocity, temperature, skin friction, Nusselt number, entropy generation rate and the Bejan number are provided in graphs and discussed in this paper.
Mathematical Analysis of Two Strains Covid-19 Disease Using SEIR Model Adetayo Samuel Eegunjobi; Oluwole Daniel MAKINDE
Journal of Mathematical and Fundamental Sciences Vol. 54 No. 2 (2022)
Publisher : Directorate for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2022.54.2.1

Abstract

The biggest public health problem facing the whole world today is the COVID-19 pandemic. From the time COVID-19 came into the limelight, people have been losing their loved ones and relatives as a direct result of this disease. Here, we present a six-compartment epidemiological model that is deterministic in nature for the emergence and spread of two strains of the COVID-19 disease in a given community, with quarantine and recovery due to treatment. Employing the stability theory of differential equations, the model was qualitatively analyzed. We derived the basic reproduction number  for both strains and investigated the sensitivity index of the parameters. In addition to this, we probed the global stability of the disease-free equilibrium. The disease-free equilibrium was revealed to be globally stable, provided and the model exhibited forward bifurcation. A numerical simulation was performed, and pertinent results are displayed graphically and discussed.
Co-Authors Adetayo Samuel Eegunjobi Adetayo Samuel Eegunjobi