Browsing by Author "Hugo, Alfred"

Now showing 1 - 5 of 5
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    Asymptotic behavior of solutions of matrix lyapunov integro differential equations
    (Korean Journal Publishing Service, 2014) Sarma, Goteti V.; Hugo, Alfred
    The asymptotic behavior of solutions of Lyapunov type matrix Volterra integro differential equation, in which the coefficient matrices are not stable, is studied by the method of reduction.
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    A computational study on diffusion-thermo and rotation effects on heat generated mixed convection flow of MHD Casson fluid past an oscillating porous plate
    (Elsevier, 2022) Reddy, B. Prabhakar; Makinde, O. D; Hugo, Alfred
    A finite element computational study is conducted to evaluate the impacts of diffusion-thermo and rotation on time-dependent heat generated MHD chemically reactive mixed-convection Casson fluid transport due to an oscillatory porous plate considering ramp surface temperature with thermal radiation and Hall effects. The boundary-layer equations describing the flow are formulated and altered into dimensionless form with aid of non-dimensional variables and parameters. The resulting governing boundary layer equations are numerically solved by a precise and robust finite element method. A representationary set of outcomes is exhibited graphically to exemplify the influent of emerging parameters on the profiles of temperature, concentration and velocity. The computed results of shearing stresses, Nusselt and the Sherwood numbers are displayed in the tables. We found that both velocity components decreased as magnetic field, rotation and Casson parameters increased whereas opposite result is discovered as heat generation and Hall parameter increased. Thickness of thermal and momentum boundary layers improve with increment in thermal radiation. Increasing chemical reaction parameter reduces both concentration and momentum boundary layer thickness. It is prominent to highlight in this investigation, in case of isothermal plate temperature, both velocity components, concentration and temperature are higher than in case of ramped surface temperature. Further, our results compared with earlier published works and established to be in excellent conformity.
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    Effects of thermodiffusion and chemical reaction on magnetohydrodynamic-radiated unsteady flow past an exponentially accelerated inclined permeable plate embedded in a porous medium
    (Hindawi, 2023) Reddy, B. Prabhakar; Simba, M. H.; Hugo, Alfred
    A finite difference computational study is conducted to assess the influence of thermodiffusion and chemical reaction on unsteady free convective radiated magnetohydrodynamic flow past an exponentially accelerated inclined permeable plate embedded in a saturated porous medium of uniform permeability with variable temperature and concentration. The governing nondimensional set of coupled nonlinear partial differential equations with related initial and boundary conditions are solved numerically by using the accurate and efficient DuFort–Frankel’s explicit finite difference method. The physical features of fluid flow, heat, and mass transfer under the influence of the magnetic field, angle of inclination, plate acceleration, radiation, heat source/sink, thermodiffusion, chemical reaction, and time are scrutinized by plotting graphs and then discussed in detail. It was found that the effective magnetic field and angle of inclination tend to decline the fluid motion, whereas the reverse result is detected by increasing the porosity parameter and plate acceleration. The velocity and temperature of the fluid lessen with increasing the radiation parameter. The effect of thermodiffusion raises the fluid velocity and concentration, whereas a chemical reaction has the opposite impact. The Nusselt number increases with increasing the radiation parameter and time. Increasing chemical reaction and time causes to improve the Sherwood number. This kind of problem finds momentous industrial applications such as food processing, polymer production, inclined surfaces in a seepage flow, and design of fins.
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    Optimal control and cost effectiveness analysis of tomato yellow leaf curl virus disease epidemic model
    (Scientific & Academic Publishing, 2019) Hugo, Alfred; Lusekelo, Eva mwaseba; Kitengeso, Raymond
    This paper concentrates on the mathematical model for optimal control and cost-effectiveness analysis of tomato yellow leaf curl virus disease. The boundedness of the model has been analytically examined. The preferable optimal level of the intervention strategy to reduce the spreads and the cost of implementing control strategies were determined by introducing the time-dependent control. Pontryagin’s maximum principle was used to determine necessary conditions for the optimal control of the disease while numerical results obtained through forward-backward sweep method and fourth-order Runge-Kutta scheme using the forward solution of the state equations. The cost-effectiveness analysis results show that protective netting and removal of the infected plant is the most cost-effective strategy to combat the epidemic of tomato disease with limited resources. Therefore, TYLCV can be controlled if the farmers will effectively apply protective netting and remove the infected plants from the farm.
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    Optimal control and cost-effectiveness analysis of infectious coryza disease epidemic model
    (International Journals of Multidisciplinary Research Academy, 2019) Hugo, Alfred; Lusekelo, Evamwaseba
    This paper concentrates on the dynamics, control measure and cost-effectiveness analysis of Infectious Coryzadisease (ICD). We examined the boundedness of ICD model in the. Different controls types used to determine the optimal level of strategy that decreases the spreads of the diseases as well as the cost of implementation of the control. Simulation of different variables of the model was performed to justify the analytical results and we have used Pontryagin's maximum principle to derive necessary conditions for the optimal control of the disease. The cost-effectiveness analysis results show that an optimal effort on vaccination and treatment are the most cost-effective strategies to combat the epidemic of Infectious Coryza with limited resources. Therefore, ICD can is controlled if the farmers will use vaccination and treatment control properly.