School of Physical Sciences (SPS)

Permanent URI for this communityhttp://197.211.34.35:4000/handle/123456789/36

School of Physical Sciences (SPS)

Browse

Has files: Yes

Search Results

Now showing 1 - 10 of 176
  • No Thumbnail Available
    Item
    Some New Results on a Free Boundary Value Problem Related to Auto Ignition of Combustible Fluid in Insulation Materials
    (International Conference on Mathematical Analysis and Optimization, 2019-03) R. O. Olayiwola; A. T. Cole; M. D. Shehu; F. A. Oguntolu; J. T. Fadepo; F. E. Okoosi
    Auto ignition of combustible fluids in insulation materials is one of the major problems facing the processing industries and many developing nations because it leads to serious environmental problem. This paper presents an analytical solutions to a free boundary value problem related to auto ignition of combustible fluids in insulation materials. The aim is to ascertain whether such a system is safe or if it will undergo ignition for a particular set of conditions. The conditions for this existence of unique solution of the model is established by actual solution method. The properties of solutions is examined. The analytical solution is obtained via polynomial approximation method, which show the influence of the parameters such as the Lewis numbers and Nusselt number are presented graphically and discussed.
  • No Thumbnail Available
    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. Olayiwola
    A 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.
  • No Thumbnail Available
    Item
    Derivation of the Reproduction Numbers for Cholera Model
    (Journal of the Nigerian Association of Mathematical Physcis (TNAMP), 2018-03) A. A. Ayoade; O. J. Peter; F. A. Oguntolu; C. Y. Ishola
    It is expected of the epidemiologists to predict whether a disease will spread in a community or not and at the same time, forecast the degree of severity of the disease if it spreads in the community. By that, a cholera model is formulated and the procedure for obtaining the effective reproduction number and the basic reproduction number of the model is presented following the Next Generational MAtrix approach. The two reproduction numbers (the effective reproduction number and the basic reproduction number) are successfully derived. While the effective reproduction number can be used to predict the effectiveness of intervention strategies in inhibiting the spread of cholera disease, the basic reproduction number can be used to forecast the severity of cholera spread in a community where the intervention strategies are not on ground.
  • No Thumbnail Available
    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 Oguntolu
    In 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.
  • No Thumbnail Available
    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 Ayoola
    This 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.
  • No Thumbnail Available
    Item
    Modern Optics Waves for Universities and Polytechnics
    (Sofiata publishers, 2022) Ikeri, H.I; Eze, C. N.; Nicholas, N. T
  • No Thumbnail Available
    Item
    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.
  • No Thumbnail Available
    Item
    ANALYSIS OF NUCLEAR POWER GENERATION AND MANAGEMENT IN NIGERIA
    (The Nigerian Journal of Research and Production, 2011-04) Eze, C. N.
    Abstract Energy is the biggest challenge of the twenty-first century. We must lift much of the world out of poverty, which will require large increases in energy production while simultaneously curbing greenhouse gas emissions. In order to accomplish this, we must adopt solutions that are based on efficiency, renewable, nuclear energy production and safety, and if it can be demonstrated, carbon sequestration and then adopt the idea which said that “an energy future without a significant contribution from nuclear energy simply isn't an option”. Since renewables are by their very nature intermittent, they cannot have a huge impact unless--and until--we develop adequate energy storage technologies and drastically improve our fragile electricity distribution network. In a developing country like Nigeria where energy demand is far more than the supply due to insufficient power generation, incessant outage of power as a result of failure of power generation plants, due to technical faults and ageing, the use of nuclear power plant provides answers to the problems of electricity generation. Since energy is important for socio-economic development considering safety, economy, reliability, sustainability and even waste management, nuclear energy as an alternative source of energy should be used. The nuclear power option once again is appealing to some opinion leaders in the world. As an alternative to fossil fuels and looming energy crisis, we can find a solution to the problem of climate change, environmental degradation, and fossil fuel dependency, while guaranteeing equitable, sustainable development. Many problems stand in the way of this so called renaissance, not least the mammoth costs involved and the fact that no safe system has yet been devised for the long-term storage of nuclear wastes. Furthermore despite many improvements in the safety of nuclear power plants, worries persist about the risk of nuclear accidents such as those that occurred at Three Mile Island in USA in 1979 and Chernobyl in Ukraine in 1986. However, this alternative source of energy will pose a political problem in that nuclear power plant could be used for both military and economic purposes. It is observed that all attempts, so far, to produce enough electricity power for its citizens have hit the rocks in this country, Nigeria, due to various reasons including inefficiency and corruption. The purpose of this paper is to urge Nigeria (and other countries like it) not to give up its efforts to generate sufficient electric power by the usual traditional methods (coal, solar, wind, etc) but to continue to try until success has been achieved in the short term and to vigorously endeavour to go nuclear in the long term since nuclear generation of electricity is the ultimate in power supply. The paper also shows how the nuclear program has been achieved in some other countries and how Nigeria can follow suit in the development of nuclear energy for peaceful purposes.
  • No Thumbnail Available
    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. Nnabuchi
    Abstract - 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 applications
  • No Thumbnail Available
    Item
    Properties of Some Distributions Using Chebyshev’s Inequality Approach
    (Journal of Science, Technology, Mathematics and Education, 2014-08) K. Rauf; F. A. Oguntolu; A. Isah; U. Y. Abubakar
    In this article, we give a simpler proof of Chebyshev inequality and use the result to obtain some properties of Binomial, Poisson and Geometric distributions. Furthermore, analysis of the results has shown that Chebyshev inequality is effective for determining convergence bound of the distributions. Some recent sharpened results are complemented.2010 Mathematics Subject Classification, 41A50.