School of Physical Sciences (SPS)

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School of Physical Sciences (SPS)

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A Mathematical Model for Estimating the Weight of Human Beings Using Some Anthropometric Parameters (A Case Study of Taraba State of Nigeria’s Community)
(British Journal of Mathematics & Computer Science, 2015-03-27) Ogwumu, O. D.; Amoo, S. A.; Eguda, F. Y.; Adeyefa, E. O.; Abubakar, Samuel
The research is concerned with the development of a mathematical model for estimating the body weight of human beings in relation to some of their anthropometric parameters (height and waist sizes). The model was optimized to know whether it is possible for humans to have a maximum or minimum body weight. However, the optimization result showed that there is no specific body weight that could be called a maximum or minimum. Emphasis was laid mainly on a particular proportion of Nigerians from the north- west geopolitical zone (as a case study ) in order to be able to make generalizations about the entire country and beyond. Hence, the population sample for the research was the Taraba State of Nigeria’s Community. Moreover, several recommendations were made at the end of the model analysis which when adhered to, would bring about some medical breakthroughs to the entire human populace.
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.
A Mathematical Study of Contaminant Transport with First-order Decay and Time-dependent Source Concentration in an Aquifer
(Universal Journal of Applied Mathematics, 2013-11-05) Olayiwola, R. O.; Jimoh, O. R.; Yusuf, A.; Abubakar, Samuel
A mathematical model describing the transport of a conservative contaminant through a homogeneous finite aquifer under transient flow is presented. We assume the aquifer is subjected to contamination due to the time-dependent source concentration. Both the sinusoidally varying and exponentially decreasing forms of seepage velocity are considered for the purposes of studying seasonal variation problems. We use the parameter-expanding method and seek direct eigenfunctions expansion technique to obtain analytical solution of the model. The results are presented graphically and discussed. It is discovered that the contaminant concentration decreases along temporal and spatial directions as initial dispersion coefficient increases and initial groundwater velocity decreases. This concentration decreases as time increases and differs at each point in the domain.
Application of Computerized Monte Carlo Simulation in Evaluating Definite Integrals and Testing of the Properties of Probability Density Functions
(International Journal of Modern Mathematical Sciences,, 2014-05) Ogwumu, David. O,; James, Friday. E; Abubakar, Samuel
This work explores a certain application of the Monte Carlo simulation technique in evaluating definite Integrals and x-rays the complexity of solving realistic models by mathematical methods to arrive at an analytic solution. The study has shown that certain complex problems that cannot be solved analytically could be subject to simulations to provide approximate solutions. The work equally studies numerous definite Integrals but provides a result for few through which it is possible to make a generalization in the end of the study. Five probability distributions were highlighted in this work (among others that were investigated) and their properties by Monte Carlo simulation using a PASCAL program where random numbers were generated after numerous trials. Some areas of applications of simulation and the probability distributions studied have been discussed in this study alike.
Bifurcation Analysis on the Mathematical Model of Measles Disease Dynamics
(Universal Journal of Applied Mathematics, 2013-12-12) Abubakar, Samuel; Akinwande, N. I.; Abdulrahman, S.; Oguntolu, F. A.
In this paper we proposed a Mathematical model of Measles disease dynamics. The Disease Free Equilibrium (DFE) state, Endemic Equilibrium (EE) states and the characteristic equation of the model were obtained. The condition for the stability of the Disease Free equilibrium state was obtained. We analyze the bifurcation of the Disease Free Equilibrium (DFE) and the result of the analysis was presented in a tabular form.
Stability Analysis of the Disease-Free Equilibrium State for Yellow Fever Disease
(Development Journal of Science and Technology Research, 2013-08-22) Bawa, M.,; Abdulrahman, S.; Abubakar, Samuel; Aliyu, Y. B.
In this paper, we developed and anaysed the disease-free equilibrium state of a new mathematical model for the dynamics of yellow fever infection in a population with vital dynamics, incorporating vaccination as control measure. We obtained the effective basic reproduction number which can be used to control the transmission of the disease and hence, established the conditions for local and global stability of the disease free equilibrium.