Browsing by Author "Oguntolu, Festus Abiodun"

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Analysis and Dynamics of Tuberculosis Outbreak: A Mathematical Modelling Approach
(Advances in Systems Sciences and Applications (ASSA), 2022-12-30) Oguntolu, Festus Abiodun; Peter, Olumuyiwa James; Oshinubi, Kayode; Ayoola, Tawakalt Abosede; Oladapo, Asimiyu Olalekan; Ojo, Mayowa Michael
Tuberculosis (TB) is an infectious disease caused by mycobacterium disease which causes major ill health in humans. Control strategies like vaccines, early detention, treatment and isolation are required to minimize or eradicate this deadly pandemic disease. This article presents a novel mathematical modelling approach to tuberculosis disease using Vaccinated-Susceptible-Latent-Mild-Chronic-Isolated-Treated model. We examined if the epidemiology model is well posed and then obtained two equilibria points (disease free and endemic equilibrium). We also showed that TB disease free equilibrium is locally and globally asymptotically stable if . We solved the model analytically using Homotopy Perturbation Method (HPM) and the graphical representations and interpretations of various effects of the model parameters in order to measure the impact for effective disease control are presented. The findings show that infected populations will be reduced when the isolation and treatment rates and their effectiveness are high.
Global Stability Analysis of Typhoid Fever Model
(Advances in Systems Sciences and Applications (ASSA), 2020-06-30) Peter, Olumuyiwa James; Adebisi, Ajimot Folasade; Ajisope, Michael Oyelami; Ajibade, Fidelis Odedishemi; Abioye, Adesoye Idowu; Oguntolu, Festus Abiodun
We analyze with four compartments a deterministic nonlinear mathematical model of typhoid fever transmission dynamics. Using the Lipchitz condition, we verified the existence and uniqueness of the model solutions to establish the validity of the model and derive the equilibria states of the model, i.e. disease-free equilibrium (DFE) and endemic equilibrium (EE). The computed basic reproductive number R0 was used to establish that the disease-free equilibrium is globally asymptotically stable when its numerical values are less than one while the endemic equilibrium is locally asymptotically stable when its values are greater than one. In addition, the Lyapunov function was applied to investigate the stability property for the (DFE). The model was numerically simulated to validate the results of the analysis.
Mathematical analysis of a novel fractional order vaccination model for Tuberculosis incorporating susceptible class with underlying ailment
(International Journal of Modelling and Simulation (Taylor & Francis), 2024-07-10) El-Mesady, A.; Peter, Olumuyiwa James; Omame, Andrew; Oguntolu, Festus Abiodun
Tuberculosis (TB) is a communicable, airborne infection caused by the bacillus Mycobacterium tuberculosis. Pulmonary tuberculosis (PTB) is the most common presentation, although infection can spread anywhere to cause extra-pulmonary tuberculosis (EPTB). In this paper, a novel fractional order mathematical model is designed for the transmission dynamics of tuberculosis. Uninfected vulnerable individuals are categorized into the following: susceptible with underline ailment and susceptible without underline ailment. The research seeks to qualitatively and quantitatively analyze the proposed model and suggests comprehensive intervention measures for the control of tuberculosis among individuals with underline ailment. Some of the major highlights from the numerical investigation points out that TB vaccination is key to reducing the spread of TB among individuals with underline ailment. Furthermore, efforts to step down the spread of TB through awareness campaigns could significantly reduce the burden of the disease among individuals with co-morbidity.