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All Journal Journal of Mathematical and Fundamental Sciences
Adetayo Samuel Eegunjobi
Mathematics Department, Namibia University of Science and Technology, Windhoek, Namibia
Astronomy Chemistry Earth & Planetary Sciences Mathematics Physics

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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.
Modelling the Dynamics of Tuberculosis A Multi-Stage Compartmental Approach Adetayo Samuel Eegunjobi
Journal of Mathematical and Fundamental Sciences Vol. 57 No. 2 (2025)
Publisher : Directorate for Research and Innovation (DRI) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2025.57.2.5

Abstract

We propose a robust multi-stage compartmental model to studytuberculosis (TB) transmission dynamics in Namibia, incorporating multiple stagesof latent infection, along with undiagnosed and diagnosed active cases. The modeldistinguishes between early and late latent stages, allowing for a more accuraterepresentation of TB progression. By capturing the complex interactions betweendisease progression, diagnosis, treatment, and relapse, the model provides valuableinsights into TB dynamics. Mathematical analyses and key simulation parametersare discussed, offering a framework that can inform public health strategies foreffective TB control and intervention in Namibia.
Co-Authors Oluwole Daniel Makinde