Browsing by Author "Fatoyinbo, Hammed Olawale"

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    Evaluation of the Efficacy of Wolbachia Intervention on Dengue Burden in a Population: A Mathematical Insight
    (IEEE, 2022-05) Abidemi, Afeez; Fatoyinbo, Hammed Olawale; Asamoah, Joshua Kiddy K.; Muni, Sishu Shankar; 0000-0002-7066-246X
    This paper discusses the development and analysis of a nonlinear mathematical model to describe the transmission dynamics and control of dengue disease within the interacting human and mosquito populations. The model, governed by a twelve-dimensional system of ordinary differential equations, captures the subpopulation of symptomatic infected humans with severe dengue symptoms and Wolbachia-infected mosquito population. The dengue-free equilibrium is globally asymptotically stable with respect to the key dengue threshold, š‘…0. Numerical simulations assess Wolbachia coverage and the fraction of symptomatic infectious humans that develop severe symptoms. The impact of various Wolbachia coverage levels on disease spread is quantified through efficiency analysis.
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    Lyapunov stability analysis and optimization measures for a dengue disease transmission model
    (Elsevier, 2022-06) Abidemi, Afeez; Ackora-Prah, Joseph; Fatoyinbo, Hammed Olawale; Asamoah, Joshua Kiddy K.; 0000-0002-7066-246X
    system of ordinary differential equations using dynamical system theory. Appropriate Lyapunov functions are used to carry out an extensive investigation of the global asymptotic dynamics of the model around the dengue-free and dengue-present equilibria. The model is shown to exhibit a forward bifurcation phenomenon using Center Manifold Theory. Sensitivity analysis is carried out to determine the relative importance of the model parameters to the spread of the disease. Using optimal control theory, the model is further extended to a nonlinear optimal control model to explore the impact of four time-dependent control variables, namely, personal protection, treatment drug therapy for latently infected individuals, treatment control for symptomatic individuals and insecticide control for mosquito reduction, on dengue disease dynamics in a population. Cost-effectiveness analysis is conducted on various strategies with combinations of at least three optimal controls to determine the least costly and most effective strategy that can be implemented to contain the spread of dengue in a population.