Industrial Mathematics
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Industrial Mathematics
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Item Modeling Economic Growht In Sub-Saharan Africa: A Panel Data Approach(chool of Physical Science (SPSBIC) Biennial International Conference, Federal Univerisity of Technology, Minna, 2017-05-05) S. I. Onot; I. G. Sule; M. O. Adetut; O. A. Bello; F. A. OguntoluThe debate on the effectiveness of macro-economic variables as a tool for promoting growth and development remains inconclusive given conflicting results of recent studies. Thus, the controversy is yet to be settled. Against this background, this study sought to fit a model to best predict economic growth in sub-Saharan Africa considering Government revenue, Trade Openness, Urbanization and Fiscal Freedom as the predictor variables and hence further explains the combined effect of the variables on economic growth. The study made use of secondary data of sub-Saharan African Countries in panel least squares. The hypotheses were linearly tested while adopting the panel data estimation under fixed-effect assumptions. Findings reveal that all the variables except fiscal freedom has a positive and significant effect on the economic growth of sub-Saharan Africa when the countries were pooled together. Only government revenue has a negative and insignificant effect on the economic growth of the countries in the fixed-effect model which considers the heterogeneity of individuality of the countries. The study therefore recommended that Governments of sub-Saharan African countries should engage in critical check on the revenue generated. Improving and strengthening the fiscal freedom so as to attract inflows of investors in order to boost the economic growth and improving the standard of living of the citizens is also recommended.Item On the Dynamical Analysis of a Deterministic Typhoid Fever Infection Model(Transactions of NAMP, 2017-11) F. A. Oguntolu; G. Gbolarin; S. O. Jaiyeola; O. M. AdetutuIn this paper, we develop a deterministic model of typhoid fever. The existence and uniqueness of solutions of the model were examined by actual solutions. Mathematical analysis is carried out to determine the transmission dynamics of typhoid in a community. We conduct local stability analysis for the model. The results show that the disease-free equilibrium which is locally asymptotically stable if R0 < 1 and unstable if R0 >1.Item Analytic Solution of typhoid fever infection via homotopy perturbation method (HPM)(Journal of Science, Technology, Mathematics and Education, 2018-03) F. A. Oguntolu; G. Gbolarin; O. M. Adetutu; A. O. BelloIn this paper, a deterministic mathematical model of typhoid fever infection was formulated with a control strategies. We find the analytical solution of the proposed model by Homotopy perturbation method which is one of the best method for finding the solution of the nonlinear problem to obtain the approximate solution of the model. The results are presented graphically and discussed. It is discovered that the epidemic is sustained in the population. Implications of these results indicate that treatment sustain the carrier infectives who in turn sustains the epidemic in the population in the long run.Item n Inequality to Generate Some Statistical Distributions(Asian Journal of mathematics and Applications, 2013) A. F. Oguntolu; U. Y. Abubakar; A. Isah; L. A. Nafiu; K. RaufIn this work, we established Markov inequality via Binomial, Poisson and Geometric Distribution. Results obtained were used to obtain probability bound for some random variables. Our results are in agreement with the existing works.Item Approximate Solution of SIR Infectious Disease Model Using Homotopy Pertubation Method (HPM)(Pacific Journal of Science and Technology, 2013-11) S. Abubakar; N. I. Akinwande; O. R. Jimoh; F. A. Oguntolu; O. D. OgwumuIn this paper we proposed a SIR model for general infectious disease dynamics. The analytical solution is obtained using the Homotopy Perturbation Method (HPM). We used theMATLAB computer software package to obtain the graphical profiles of the three compartments while varying some salient parameters. The analysis revealed that the efforts at eradication or reduction of disease prevalence must always match or even supersede the infection rate.Item Application of Bootstrap Re-sampling Method to a Categorical Data of HIV/AIDS Spread across different Social-Economic Classes(Scientific & Academic Publishing, 2015) A. O. Bello; F. A. Oguntolu; O. M. Adetutu; J. P. OjedokunThis research reports on the relationship and significance of social-economic factors (age, gender, employment status) and modes of HIV/AIDS transmission to the HIV/AIDS spread. Logistic regression model, a form of probabilistic function for binary response was used to relate social-economic factors (age, sex, employment status) to HIV/AIDS spread. The statistical predictive model was used to project the likelihood response of HIV/AIDS spread with a larger population using 10,000 Bootstrap re-sampled observations.Item Local Stability Analysis of a River Blindness Disease Model with Control(The Pacific Journal of Science and Technology, 2018-05) F. A. Oguntolu; G. Bolarin; S. A. Somma; A.O. BelloIn 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 reproduction number R0 < 1 and unstable if R0 > 1.Item On the Global Stability of Cholera Model with Prevention and Control(Malaysian Journal of Computing (MJoC), 2018-06-05) A. A. Ayoade; M. O. Ibrahim; O. J. Peter; F. A. OguntoluIn this study, a system of first order ordinary differential equations is used to analyse the dynamics of cholera disease via a mathematical model extended from Fung (2014) cholera model. The global stability analysis is conducted for the extended model by suitable Lyapunov function and LaSalle’s invariance principle. It is shown that the disease free equilibrium (DFE) for the extended model is globally asymptotically stable if Rq0 < 1 and the disease eventually disappears in the population with time while there exists a unique endemic equilibrium that is globally asymptotically stable whenever Rq0 > 1 for the extended model or R0 > 1 for the original model and the disease persists at a positive level though with mild waves (i.e few cases of cholera) in the case of Rq0 > 1. Numerical simulations for strong, weak, and no prevention and control measures are carried out to verify the analytical results and Maple 18 is used to carry out the computations.Item Semi analytical method for solving lymphatic filariasis epidemic model(African Journals Online (AJOL), 2019-03-08) F. A. Oguntolu; N. I. Akinwande; N. O. Olayiwola; F. A. FaruqIn this paper, we present a deterministic model on the transmission dynamics of Lymphatic Filariasis. Non-Standard Finite Difference Method (NSFDM) is employed to attempt the solution of the model. The validity of the NSFDM in solving the model is established by using the computer in-built classical fourth-order Runge-Kutta method. The comparism between Non-Standard Finite Difference Method solution and Runge-Kutta (RK4) were performed which were found to be efficient, accurate and rapidly convergence.Item Effect of Transverse Relaxation Rate on Time-Dependent Magnetic Resonance Imaging(African Journal of Physical Science, 2011) S. I. Yusuf, Y.M. Aiyesimi and O. B. AwojoyogbeMagnetic Resonance Imaging (MRI), developed from nuclear magnetic resonance involves a non-invasive medical approach towards studying the anatomy, physiology and pathology of human tissues. In this study, attempt is made at expressing mathematically the processes involved in MRI for diagnosis and possible treatment of diseases within the human body. A time-dependent second -order non-homogeneous linear differential equation from the Bloch (NMR) equation is evolved. The parameters in the equations are M_0, radio frequency rfB_1 f(x,t) field, gyromagnetic ratio of blood spin γ as well as T_1 and T_2 relaxation times. the solution obtained will be examined when the system is under an influence of a driving force, F_0 cos wt and γB_1 (t)=coswt is the radio frequency field. However, for the purpose of this study, only relaxation times are varied and analyzed for measurement of the signals in relation to its effect on human anatomy.