School of Physical Sciences (SPS)
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School of Physical Sciences (SPS)
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Item Stability Analysis of Rotavirus Model with Co-infection and Control Measures(Journal of Science, Technology, Mathematics and Education, 2021-06) R. O. Olayiwola; F. A. Kuta; F. A. Oguntolu; O. N. Emuoyibofarhe; F. T. OlayiwolaA mathematical model of the spread of rotavirus diarrhea based on a continuous time ordinary differential equation modeled two viral strains of influenza is presented. The existing influenza models is extended to include the case of co-infection when a single individual is infected with both strains of rotavirus and to explore the effects of maternal antibodies, vaccination and seasonality. The model exhibits two equilibria, disease-free equilibrium (DFE) and the endemic equilibrium (EE). Equilibrium analysis is conducted in the case with constant controls for both epidemic and endemic dynamics. By the use of Lyapunov function, it is shown that if the effective reproduction number, R0<1, the DFE is globally asymptotically stable and in such a case, the EE is unstable. Moreover, if R0 >1, the endemic equilibrium is globally asymptotically stable.Item A Mathematical Model Analysis of Meningitis with Treatment and Vaccination in Fractional Derivatives(Springer Science and Business Media LLC, 2022-04-26) Olumuyiwa James Peter; Abdullahi Yusuf; Mayowa M. Ojo; Sumit Kumar; Nitu Kumari; Festus Abiodun OguntoluIn this paper, we develop a new mathematical model based on the Atangana Baleanu Caputo (ABC) derivative to investigate meningitis dynamics. We explain why fractional calculus is useful for modeling real-world problems. The model contains all of the possible interactions that cause disease to spread in the population. We start with classical differential equations and extended them into fractional-order using ABC. Both local and global asymptotic stability conditions for meningitis-free and endemic equilibria are determined. It is shown that the model undergoes backward bifurcation, where the locally stable disease-free equilibrium coexists with an endemic equilibrium. We also find conditions under which the model’s disease-free equilibrium is globally asymptotically stable. The approach of fractional order calculus is quite new for such a biological phenomenon. The effects of vaccination and treatment on transmission dynamics of meningitis are examined. These findings are based on various fractional parameter values and serve as a control parameter for identifying important disease-control techniques. Finally, the acquired results are graphically displayed to support our findings.Item Modeling the impact of control strategies on malaria and COVID-19 coinfection: insights and implications for integrated public health interventions(Springer Science and Business Media LLC, 2023-12-27) Adesoye Idowu Abioye; Olumuyiwa James Peter; Emmanuel Addai; Festus Abiodun Oguntolu; Tawakalt Abosede AyoolaThis work discusses the challenge posed by the simultaneous occurrence of malaria and COVID-19 coinfection on global health systems. We propose a novel fractional order mathematical model malaria and COVID-19 coinfection. To assess the impact of control strategies on both diseases, we consider two control strategies which are, personal protection against mosquito bites ($$u_{1}(t)$$) and preventive measures for COVID-19 ($$u_{2}(t)$$). Numerical simulations demonstrate that consistent application of these measures leads to significant reductions in disease transmission. Using insecticide-treated nets and repellents during day and night effectively reduces malaria transmission, while implementing facial masks and hand hygiene controls COVID-19 spread. The most substantial impact is observed when both sets of protection measures are simultaneously adopted, highlighting the importance of integrated strategies. The study provides valuable insights into malaria and COVID-19 coinfection dynamics and emphasizes the impact of the control measures. of individual behavior and consistent adoption of personal protection measures to control both diseases. It underscores the need for integrated public health interventions to combat the dual burden of malaria and COVID-19, contributing to the development of targeted and efficient control measures.Item Modern Optics Waves for Universities and Polytechnics(Sofiata publishers, 2022) Ikeri, H.I; Eze, C. N.; Nicholas, N. TItem Doped Metal Oxide Thin Films for Enhanced Solar Energy Applications(Springer, 2021) Eze, C. N.; Obodoa, R. M; Ezugwu, S. C; Ezemaa, F .I.Solar energy is energy from the sun and its provision is in abundance without payments. It is renewable and more promising than its counterpart energy source called fossil fuels. Fossil fuels have energy crises ranging from inadequacy to depletion, pollution etc. This solar energy could be technically collected, utilized but there could still be an improved method of collecting the solar energy for more advanced utilization called solar energy. Achieving this by the process of doping metal oxide thin films with impurities like carbon derivatives, organic synthetic dyes etc. will harnesses dopant characteristics for optimal performance. The doped materials help in controlling the composition and structure of dopants, which enhance their performance. The metal oxide semiconductor thin films are synthesized via varieties of processes on working active layer materials with stable interfaces for solar energy conversion and versatile applications in several areas valuable for humankind.Item A Study of Chemically Deposited Barium Titanate (Batio3) Thin Films Doped with Natural Dyes and Their Photovoltaic Applications.(International Journal of Scientific Research in Physics and Applied Sciences, 2023-12) Eze, C. N.; A.I. Onyia; M.N. NnabuchiAbstract - Ternary thin films of BaTiO3 nanostructures were synthesized at 90 0C via the Chemical Bath Deposition (CBD) route under room temperature. They were doped with three natural (local/organic) dyes extracted from Lawsonia inermis leaves, Beta vulgaries roots, and Jatropha curcas leaves and thereafter annealed at 400 0C. doped and as-deposited nanostructures were studied employing XRD, SEM, FTIR, UV VIS, and EDXRF. Our X-ray diffraction (XRD) studies revealed a polycrystalline structure. The SEM studies exhibited porous structures advantageous for dye loading. The EDXRF shows the compositional elements. The FTIR reveals the carboxylate and photo physical properties of the dyes. The UV-VIS investigation presented band gap energies Eg of the doped as ad (BR) = 2.60 eV; bd (OO) = 1.61 eV; ccd (LL) = 1.90 eV against the as-deposited AD (g1) = 3.10 eV showing that the dyes reduced the Eg of the thin films occurring from an increased absorption coefficient α. The Nano porous, as-deposited thin films adsorb the extracted dyes on the surface and the interaction between the Nano porous films and the natural dyes used to dope BaTiO3 was studied using UV-VIS spectrophotometer with the aim of investigating their photovoltaic applicationsItem A decomposition approach for magnetohydrodynamics stagnation point flow over an inclined shrinking/stretching sheet with suction/injection(International Journal of Mathematical Analysis and Modelling, 2023-09-27) A. Yusuf; G. Bolarin; F. A. Oguntolu; M. Jiya; Y. M. AiyesimiIn this paper, the approximate solution to Magnetohydrodynamics Stagnation Point Flow over an inclined Shrinking/Stretching Sheet with Suction/injection was analyzed via the Adomian Decomposition. The governing partial differential equations (PDEs) were reduced with the help of similarity variables to non linear coupled ordinary differential equations (ODEs). The effects of various pertinent parameters were presented numerically and graphically. Numerical comparisons were carried out with the existing literature and a good agreement was established. The angle of inclination was found to enhance the velocity profile.Item A Mathematical Modelling of Lymphatic Filariasis and Malaria Co-infection(Abubakar Tafawa Balewa University, 2022-06-25) F. A. Oguntolu; D. W. Yavalah; C. F. Udom; T. A. Ayoola; A. A. VictorLymphatic Filariasis (LF) and Malaria continue to pose significant public health burden globally and are co-endemic in many sub-Saharan African regions. In this work, we developed and analyzed a mathematical model of Lymphatic filariasis and malaria co-infection model. Friedman and Lunge method was used to find the positivity of the solution, the disease-free equilibrium was obtained, the model stability was analyzed, and the basic reproductive number was also obtained. The findings suggest that with the use of a bed-net and insecticide as a control measure, the treatment of LF and malaria co-infection can be reduced to a minimum.Item Exploring the dynamics of lymphatic filariasis through a mathematical model and analysis with Holling type II treatment functions(Iranian Journal of Numerical Analysis and Optimization, 2025-06) F. A. Oguntolu; O. J. Peter; B. I. Omede; T. A. Ayoola; G. B. BalogunThis paper presents a robust deterministic mathematical model incorporat-ing Holling type II treatment functions to comprehensively investigate the dynamics of Lymphatic filariasis. Through qualitative analysis, the model demonstrates the occurrence of backward bifurcation when the basic re-production number is less than one. Moreover, numerical simulations are employed to illustrate and validate key analytical findings. These simula-tion results emphasize the significance of accessible medical resources and the efficacy of prophylactic drugs in eradicating Lymphatic filariasis. The findings show that, enhancing medical resource availability and implement-ing effective treatment strategies in rural areas and regions vulnerable to Lymphatic filariasis is crucial for combating the transmission and control of this disease.Item Stability and optimal control analysis of an SCIR epidemic model(SCIK Publishing Corporation, 2020-10-16) Olumuyiwa James Peter; Ratchada Viriyapong; Festus Abiodun Oguntolu; Pensiri Yosyingyong; Helen Olaronke Edogbanya; Michael Oyelami AjisopeIn this paper, we proposed a deterministic model of SCIR governed by a system of nonlinear differential equations. Two equilibria (disease-free and endemic) are obtained and the basic reproduction number R0 is calculated. If R0 is less than one, then the disease-free equilibrium state is globally stable i.e. the disease will be eradicated eventually. However, when R0 is greater than unity, the disease persists and the endemic equilibrium point is globally stable. Furthermore, the optimal control problem is applied into the model. The focus of this study is to determine what control method can be implemented to significantly slow the incidence of the epidemic disease, therefore we take into account various possible combinations of such three controls which are prevention via proper hygiene, screening of the infected carriers which enable them to know their health conditions and to go for early treatment and treatment of the infected individuals. The possible strategies of using combinations of the three controls on the spread of the disease, one at a time or two at a time is also discussed. Our numerical analysis of the optimal approach suggests that the best method is to incorporate all three controls in order to control the disease epidemic.