Mathematical Theory and Modeling
http://www.iiste.org/Journals/index.php/MTM
<p><span id="internal-source-marker_0.04939836589619517"><span id="internal-source-marker_0.04939836589619517">Mathematical Theory and Modeling </span>is a peer reviewed journal published by IISTE. The journal publishes original papers at the forefront of mathematical theories, modelings, and applications. The journal is published in both printed and online versions. The online version is free access and download.</span></p><p><span>IISTE is member of <a href="http://www.crossref.org/01company/17crossref_members.html">CrossRef</a>.<br /></span></p>en-USMathematical Theory and Modeling2224-5804Regression Analysis of Loan Repayment Capacity among Farmers in Doma, Nasarawa State
http://www.iiste.org/Journals/index.php/MTM/article/view/20416
<p>This empirical paper is aimed at Regressionally Analyzing the socio-economic factors affecting Doma micro?financed farmers in repaying loans got from micro?financed organization. Farm credits are crucial inputs required by the small holder farmers to establish and expand farms. These credits are geared towards increasing agricultural production, enhancing food sufficiency, prompting household and national income as well as augmenting borrower’s ability to repay loans. Microcredit facilities have played vital roles in the socio-economic transformation of the rural economics. This study was conducted in five wards of Doma where farming is the main occupation of the people. Ten respondents from four cooperative societies each in the wards totaling two hundred respondents were randomly stratified and used as sample for the research. The logistic regression equation and maximum likelihood estimation technique were used for the analysis since the model is a binary choice model. The explanatory variables or interactions reduction reduced the risk of multi-collinearity and the economically and theoretically plausible variables were retained for analysis using the bivariate correlation matrix. The analysis shows that average amount of loan paid by farmers was 78.3% of the amount due for payment.</p> <p><strong>KEYWARDS: </strong>Loans; Banks; Doma; Equity; Microcredit; Micro?finance.</p>Abam, Ayeni OminiAkeyede, Imam5Hybrid and Non-hybrid Implicit Schemes for Solving Third
http://www.iiste.org/Journals/index.php/MTM/article/view/20417
This work considers the direct solution of general third order ordinary differential equation of the form.............Ogunware Bamikole GbengaOmole Ezekiel OlaoluwaOlanegan Ola Olayemi5The Probability of the Truth on a Truth Table
http://www.iiste.org/Journals/index.php/MTM/article/view/20418
<p>In symbolic (or mathematical) logic the truth table is used to establish the truth or falsity (falsehood) of both simple and compound statements (or arguments). However, the use of the term “truth table” falsely suggests that all arguments through the table are true. It is known that the table contains both true and false arguments. So the use of “truth table” is indiscriminate. Consequently, this study was focused on solving this problem by finding out the probability of having a true argument associated with every one of the four binary proposition connectives- “and”, “double implication” “inclusive v”, single implication” used in the arguments. The obtained probabilities are ordered as 1/4, ½ and ¾ respectfully for “and”, “double implication”, and (“inclusive v” and “single implication”). So the “truth tables” are discriminately decomposed into “falsehood tables”, “neutral tables” and “truth tables” at probabilities of ¼, ½ and ¾ respectively. These probabilities are independent of the number of statements, n, greater than unity.</p>A Bisi Alabi-Labaika5Tuberculosis Endemic in Bangladesh
http://www.iiste.org/Journals/index.php/MTM/article/view/20419
<p><em>Tuberculosis (TB) has been a major public concern of Bangladesh for decades. According to the World Health Organization (WHO), Bangladesh ranks sixth among the 22 high TB-burden countries. Thus in order to improve the TB status, BRAC introduced the tuberculosis control program in 1984 in collaboration with the government. In t</em><em>his paper is carried out on the number of reported cases and deaths from endemic of tuberculosis. Time series analysis performed on this data reveals that tuberculosis infection has been on the rise over the years. The situation is also the same as the number of deaths. Reported cases and death cases are forecasted to carry out using appropriate and reliable method that also indicates in the two related population in this research work.</em></p> <p> </p> <p><strong>Keywords:</strong> Mycobacterium tuberculosis, Epidemic, Global Infectious Diseases.</p>Jannatun NayeemMd. Abu Salek5Generalized Linear Models for Rainfall Patterns In The Presence Of Temperature Trends in Different Climatic Zones in Kenya
http://www.iiste.org/Journals/index.php/MTM/article/view/20420
<p>Rainfall and temperature series impact heavily on the performance of a country’s agricultural production as a component of the economy especially in a developing country like Kenya. These series were analyzed to study the evolution of their mean variability. In particular, this study sought to model the Temporal Rainfall Patterns in different Zones in Kenya considering temperature trends as indicators of the rainfall variations. In achieving this objective, a broad statistical approach was used, based on inference on their entire series to predict the mean amount of rainfall using the Maximum and Minimum temperatures processes. Data on different counties in Kenya regarding rainfall and temperature was obtained from the respective weather stations. The study then came up with zones dependent on rainfall using cluster Analysis. Models specific to each created zone were fitted and included the Poisson, Quasi-Poisson and Negative Binomial models which belong to the broad class of Generalized Linear Models (GLMs). Using the AIC criterion, we identified Negative Binomial model as the best model for the variability of rainfall patterns in these Zones as maximum and minimum temperatures changes, and the discussion about them made thereof.</p> <p><strong>Keywords: </strong>Cluster analysis, Poisson, Quasi-Poisson, Negative binomial, Precipitation, Temperature.</p>PETER MURAGEJOSEPH MUNG’ATUGEORGE ORWA5Generalized Jordan (sigma, tau) - Higher Homomorphisms of a ring R into a ring R'
http://www.iiste.org/Journals/index.php/MTM/article/view/20421
<p>Let R , R' be two prime rings and s<sup>n</sup>,t<sup>n</sup> be two higher homomorphisms of a ring R for all n Î N , in the present paper we show that under certain conditions of R , every generalized Jordan (s,t)-higher homomorphism of a ring R into a prime ring R' is either generalized (s,t)-higher homomorphism or (s,t)-higher anti homomorphism.</p> <p>Key Words: prime ring , homomorphism , generalized Jordan higher homomorphism.</p> <p>mathematic subject classification : 16 N 60 , 16 U 80 .</p>Salah Mehdi SalihFawaz Ra'ad Jarullah5Optimal Control Approach to Robust Control of Linear and Non-linear Systems
http://www.iiste.org/Journals/index.php/MTM/article/view/20422
<p>This paper presents an optimal control approach to robust control of linear and non-linear systems. The approach translates the robust control problems into optimal control problems of minimizing cost functionals. Because of the uncertainty bound that is reflected in the cost functionals, the solution of the optimal control problems are solutions of the robust control problems. The optimal control approach allows us to solve some non-linear robust control problems that cannot be easily solved otherwise.</p> <p> </p> <p><strong>Keywords:</strong> Robust Control, Optimal Control, Cost Functional, Dynamic Equation, Riccati equation, Uncertainty.</p>M.O. OKE5Classification of Aedes Adults Mosquitoes in Two Distinct Groups Based on Fisher Linear Discriminant Analysis and FZOARO Techniques
http://www.iiste.org/Journals/index.php/MTM/article/view/20423
<p>This paper describes the breeding, feeding and measurement of Aedes mosquitoes based on body size (wing length). Due to similarity in body size measurements, we were constrained on gender recognition. To reveal the gender identity of these mosquitoes, Fisher linear discriminant analysis and FZOARO classification models were considered suitable for prediction and classification. We randomly selected 15 mosquitoes from each groups and categorize the body size as small and large and applied the classification procedures. Both classification techniques perform similar. The numerical simulation reveals that 86.67% were classified as male for group one and 80% were correctly classified as female in group two.</p> <p><strong>Keywords: </strong>Fisher linear discriminant analysis; FZOARO; Classification.<strong><em></em></strong></p>Friday Zinzendoff OkwonuHamady DiengAbdul Rahman OthmanOoi Seow Hui5The Performance of Nigerian Mutual Funds in the Period 2011 - 2014
http://www.iiste.org/Journals/index.php/MTM/article/view/20424
<p>Please read the full paper.</p> <p><strong> </strong></p>Oladayo Oduwole5A Discrete – Time Mathematical Model for Homogeneous Population Density Dynamics of Single Weed Species
http://www.iiste.org/Journals/index.php/MTM/article/view/20425
<p>In this paper, the biological process is utilized to formulate a discrete-time homogeneous model for the dynamics of weed population density. Steady state solutions were obtained and analyzed them for local and global stabilities. The results revealed that our model is locally asymptotically stable but globally unstable. This result is contrary to the interesting property of the most standard biological one-dimensional discrete models, which display global stability if they are locally stable. Although, our model equation falls within the category of population models that exhibit local stability but globally not stable. It is concluded that, the weed population may exhibit unexpected behaviours.</p> <p><strong>Keywords: </strong>Biological process, Discrete-time model, Local stability, Global stability, Population density</p>Nasir, M. OAkinwande, N. I,Kolo M. G. MMohammed, J.5Stock Market Returns and Direction Prediction: An Empirical Study on Karachi Stock Exchange
http://www.iiste.org/Journals/index.php/MTM/article/view/20426
<p>There has been much research in the recent past on the predictability of stock return, mainly due to its significance in managing economic gains on a high scale. Our research initiates the forecasting of the Karachi stock return with the help of the Wavelet analysis and Empirical mode decomposition method. This paper attends in large part to investors and traders to deduce a method for predicting the stock market. The collected data ranges from Jan 2009 to Dec 2012. Every training set is selected from January through October and the sets left over are used for testing. What we have discovered is that Empirical Mode decomposition (EMD) method supersedes all other models on the Mean square error and Mean Absolute error criteria. We may also evaluate the performance of these models by changing strategy direction and comparing payoffs to understand which framework performs as a better forecasting model. It is establishes by the results of the study that the same model serves better for forecasting in trading strategy and could rule over other possible models for most periods under consideration. It is our belief that this study will help stock investors to come to quick decisions about optimal buying or selling time in Karachi Stock Exchange</p> <p><strong>Key Words:</strong> Forecasting, KSE (Karachi Stock Exchange) 100 Index, Empirical Mode Decomposition, Trading Strategy</p> <p><strong> </strong></p>M. Khalid, M. SultanaFaheem Zaidi5Numerical method for pricing governing American options under fractional Black-Scholes model
http://www.iiste.org/Journals/index.php/MTM/article/view/20428
<p>In this paper we develop a numerical approach to a fractional-order differential linear complementarity problem (LCP) arising in pricing European and American options under a geometric Lévy process. The (LCP) is first approximated by a penalized nonlinear fractional Black-Scholes (fBS) equation. To numerically solve this nonlinear (fBS), we use the horizontal method of lines to discretize the temporal variable and the spatial variable by means of Crank-Nicolson method and a cubic spline collocation method, respectively. This method exhibits a second order of convergence in space, in time and also has an acceptable speed in comparison with some existing methods. We will compare our results with some recently proposed approaches.</p> <p><strong>Keywords: G</strong>eometric Lévy process, fractional Black-Scholes, Crank-Nicolson scheme, Spline collocation, Free Boundary Value Problem.</p>Abdelmajid El hajajiKhalid Hilal5