Industrial Mathematics

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Industrial Mathematics

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Author: search.filters.author.R. O. Olayiwola

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    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.
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    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.
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    Analytical Simulation of Cholera Dynamics Controls
    (International Journal of Innovative Science, Engineering & Technology, 2015-03) F. A. Oguntolu; R. O. Olayiwola; O. A. Odebiyi; A. O. Bello
    In this paper, an analytical simulation of cholera dynamics with control is presented. The model incorporates therapeutic treatment, water sanitation and Vaccination in curtailing the disease. We prove the existence and uniqueness of solution. The systems of equations were solved analytically using parameter-expanding method coupled with direct integration. The results are presented graphically and discussed. It shows clearly that improvement in treatment, water sanitation and Vaccination can eradicate cholera epidemic. It also observed that with proper combination of control measures the spread of cholera could be reduced.
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    A Mathematical Study of HIV Transmission Dynamics with Counselling and Antiretroviral Therapy
    (International Journal of Scientific and Innovative Mathematical Research (IJSIMR), 2015-02) F. A. Oguntolu; R. O. Olayiwola; A. O. Bello
    In this paper, a mathematical model of HIV transmission dynamics with counseling and Antiretroviral therapy (ART) as a major means of control of infection is presented. The existence and uniqueness of solutions of the model were examined by actual solution. The stability analysis of the critical points was conducted. The results show that it is globally asymptotically stable under certain conditions. The systems of equations were solved analytically using parameter-expanding method coupled with direct integration. The results are presently graphically and discussed. It is discovered that the parameters involved play a crucial role in the dynamics of the diseases which indicate that ART and counseling could be effective methods in the control and eradication of HIV.
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    Modelling heat and mass transfer of a CO2 binary mixture: a mathematical approach. International Journal of Mathematical Analysis and Modelling
    (International Journal of Mathematical Analysis and Modelling, 2023-09-28) R. O. Olayiwola; A. T. Cole; M. D. Shehu; F. A. Oguntolu; E. E. Iyeme; A. W. Abubakar
    This paper presents an analytical solutions for describing heat and mass transfer between a droplet of organic solvent and a compressed antisolvent taking into consideration the viscous energy dissipation and heat and mass transfer between the surface and the droplet by convection. The solvent and antisolvent are assumed to be fully miscible and have the same temperature. Both the initial temperature of the mixture and the initial carbon dioxide concentration are also assumed to depend on the space variable. The governing equations formulated based on the conservation of total mass, chemical species, momentum and energy were solved analytically using polynomial approximation method. The results obtained are presented graphically and discussed. The results revealed the effects of operating parameters on droplet lifetime. These results might be used for interpretation or experiments planning of the more complex real supercritical antisolvent process.