School of Physical Sciences (SPS)

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School of Physical Sciences (SPS)

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Start date: 1850End date: 2019

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    Mathematical Analysis of a Contaminant Flow in a Finite Medium using the Weighted Residual Method
    (Ilorin Journal of Science, 2015-02-01) JIMOH, OMANANYI RAZAQ; Aiyesimi, Y. M.; Jiya, M.; Bolarin, G. A.
    In this paper, a Galerkin weighted Residual method is used in providing an analytical solution of two-dimensional contaminant flow problem with non-zero initial concentration. The equation is described by advection, dispersion, adsorption, first order decay and zero-order source. It is assumed that the adsorption term is modeled by Freudlich isotherm. Using Bubnov-Galerkin method, the governing equation was converted to a discrete problem. Thereafter, the approximate solution of the resulting system of initial value problem was obtained. The results obtained are expressed in graphical form to show the effect of change in the parameters on the concentration of the contaminants. From the analysis of the results, it was discovered that the contaminant concentration decreases with increase in the distance from the origin while it increases with increase in the zero-order source coefficient.
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    Computational Analysis of a one-dimensional nonlinear reactive contaminant flow with an initial continuous point source by homotopy-perturbation method.
    (Journal of the Nigerian Association of Mathematical Physics, 2012-11-05) Aiyesimi, Y. M.; JIMOH, OMANANYI RAZAQ
    In this paper, a Homotopy-perturbation analysis of a non–linear reactive contaminant flow equation with initial continuous point source is provided. The equation is described by advection, diffusion and adsorption. We assume that the adsorption term is modeled by Freudlich Isotherm. We provide an approximation of this equation using homotopy-perturbation transformation and solve the resulting linear equations analytically. The graphs of the concentration against the distance, reaction parameter and time are presented and analyzed to determine the effects of increase in the reaction coefficient, time and distance on the concentration. Findings from this research show that the concentration of the contaminant decreases with time and decreases faster when the value of the reaction parameter α is high.
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    Mathematical Modelling for the Effect of Malaria on the Heterozygous and Homozygous Genes
    (ICAPTA, 2018-03-25) Abdurrahman, Nurat Olamide; Akinwande, Ninuola Ifeoluwa; Somma, S. A.
    This paper models the effect of malaria on the homozygous for the normal gene (AA), heterozygous for the sickle cell gene (AS), and homozygous for the sickle cell gene (SS) using the first-order ordinary differential equation. The Diseases Free Equilibrium (DFE) was obtained and used to compute the basic reproduction Number Ro. The local stability of the (DFE) was analyzed.
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    Local Stability Analysis of a River Blindness Disease Model with Control
    (Pacific Journal of Science and Technology, 2018-05-22) Oguntolu, F. A.; Bolarin, G.; Somma, Samuel Abu; Bello, A. O.
    In this paper, a mathematical model to study the dynamics of River Blindness is presented. The existence and uniqueness of solutions of the model were examined by actual solution. The effective reproduction number was obtained using the next generation matrix. The Disease Free Equilibrium (DFE) State was obtained and analysed for stability. It was found that, the DFE State is Locally Asymptotically Stable (LAS) if the effective unstable if reproduction number R 0  1 . R 0  1 and
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    Local Stability Analysis of a Tuberculosis Model incorporating Extensive Drug Resistant Subgroup
    (Pacific Journal of Science and Technology (PJST), 2017-05-20) Eguda, F. Y.; Akinwande, N. I.; Abdulrahman, S.; Kuta, F. A.; Somma, Samuel Abu
    This paper proposes a mathematical model for the transmission dynamics of Tuberculosis incorporating extensive drug resistant subgroup. The effective reproduction number was obtained and conditions for local stability of the disease R c free equilibrium and endemic equilibrium states were established. Numerical simulations confirmed the stability analysis and further revealed that unless proper measures are taken against typical TB, progression to XDR-TB, mortality and morbidity of infected individuals shall continue to rise.
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    Receptor Modeling Application on Surface Water Quality and Source Apportionment
    (2016-02-05) Animashaun, Iyanda Murtala; Ahaneku, Isiguzo Edwin; Busari, Musa Bola; Bisiriyu, Muhammad Taoheed
    There is a need for regular monitoring of river water quality to determine specific pollutants in order to aid amelioration schemes. In this study, Principal Component Analysis (PCA) was applied to eighteen water quality parameters; pH, conductivity, dissolved oxygen(DO), turbidity, temperature, total dissolved solids (TDS), total solids (TS), total hardness (TH), biochemical oxygen demand (BOD), carbon dioxide (CO2), ammonia (NH3), nitrate (NO3-), chloride (Cl-), lead (Pb), iron (Fe), chromium (Cr), copper (Cu) and manganese (Mn) to identify major sources of water pollution of river Asa. The generated Principal Components (PCs) were used as independent variables and the water quality index (WQI) as the dependent variable to predict the contribution of each of the sources using the multiple linear regression model (MLR). The PCs results showed that the sources of pollution are storm water runoff, industrial effluent, erosion and municipal waste, while MLR identified storm water runoff (0.786) and industrial effluent (0.241) as the respective major contributors of pollution. The study showed that the PC-MLR model gives a good prediction (R2=0.8) for the water quality index.
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    Arsenic level determination in selected well water from Sokoto state, Nigeria
    (Elixir International Journal, 2014-10-23) Galadima, A; Bisiriyu, M.T
    Twenty samples of domestic water sourced from different underground wells in the Gidan Dare and Gidan Igwai areas of Sokoto were collected and analyzed in the laboratory. The pH and the electrical conductivity (EC) of the water samples were also determined. The mean results obtained from the analyses were pH (7.68, 6.72) and electrical conductivities (1061µs/cm, 1057µs/cm) for Gidan Dare and Gidan Igwai, respectively. The results also showed mean arsenic concentrations of 0.110mg/L and 0.217mg/L for Gidan Dare and Gidan Igwai water samples, respectively, which are above the World Health Organization (WHO) drinking water guidelines. Wells in Gidan Dare and Gidan Igwai were found to be contaminated with an abnormal concentration of arsenic, high enough to cause serious adverse health effects to its consumers. The high arsenic concentrations could be attributed to both natural and anthropogenic activities such as erosion, underground weathering, toxic chemicals, improper waste and sewage disposal waste from industries, agricultural activities and vehicular emissions.
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    Mathematical Modeling of Algae Population Dynamics on the Surface of Water
    (The Pacific Journal of Science and Technology, 2019-11-22) Abdurrahman, Nurat Olamide; Somma, S. A.; Akinwande, N. I.
    The paper presented an analytical solution of the exponential growth model of algae population dynamics on the water surface. The Computer Symbolic Algebraic Package, MAPLE, is used to simulate the graphical profiles of the population with time while varying the parameters, such as diffusion and rate of change of algae density, governing the subsistence or extinction of the water organisms.
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    STABILITY ANALYSIS OF LOGISTIC GROWTH MODELOF ALGAE POPULATION DYNAMICS ON A WATER BODY
    (Journal of Science, Technology, Mathematics and Education (JOSTMED), 2019-03-12) Abdurrahman, Nurat Olamide
    This work analyses the stability of the equilibrium state of a logistic growth model of the Algae population dynamics on a water body, thereby obtaining the critical patch length, which will determine the subsistence or extinction of the water organisms.
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    A MATHEMATICAL MODEL OF MEASLES DISEASE DYNAMICS
    (Journal of Science, Technology, Mathematics and Education (JOSTMED), 2012-08-25) Abubakar, Samuel; Akinwande, N. I.; Abdulrahman, S.
    In this paper a Mathematical model was proposed for measles disease dynamics. The model is a system of first order ordinary differential equations with three compartments: Susceptible S(t); Infected I(t) and Recovered R(t). The equilibrium state for both Disease Free and Endemic equilibrium are obtained. Conditions for stability of the Disease Free and Endemic equilibrium are obtained from characteristics equation and Bellman and Cooke theorem respectively. The hypothetical values were used to analyze the Endemic Equilibrium and the result was presented in tabular form. The results from the Disease Free and Endemic Equilibrium state showed that once the epidemic breaks out, the population cannot sustain it.