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 Modeling2224-5804Almost Unbiased Ratio Estimator Using the Coefficient of variation of unknown auxiliary variable
http://www.iiste.org/Journals/index.php/MTM/article/view/26362
Sisodia el at (1981) proposed a modified ratio estimator of population mean when the information on theauxiliary is known. This estimator is biased but with less mean square error compared to the classical ratioestimator. However, the information on the auxiliary variable may not be available in all cases. In this paper,double sampling strategy has been suggested to obtain the information on the auxiliary variable and then thealmost unbiased ratio estimator of population mean using coefficient of variation x C ˆhas been proposed. Tojudge the merits of the proposed estimator over other estimators an empirical study is also carried out.Keywords: Population mean, Coefficient of variation, Double sampling, Bias and Mean squared error.Mmaduakor ChikaAmahia GodwinNgwu Benitho5A zero-sum nonlinear quadratic differential games with closed-loop feedback solution by homotopy analysis method
http://www.iiste.org/Journals/index.php/MTM/article/view/26363
In this paper, we consider zero-sum nonlinear quadratic differential games which the coefficients of the quadratic form are quadratic matrix, function of the state variable. Dynamic constraints are represented bilinear differential systems of the form Majid Darehmiraki5Magnetohydrodynamic Flow over an Immersed Axi-Symmetrical Body with Curved Surface and Heat Transfer
http://www.iiste.org/Journals/index.php/MTM/article/view/26364
<p>In this paper analysis has been carried out on the effects of thermal radiation on unsteady flow of a Newtonian fluid over an immersed axi-symmetrical body with curved surface in the presence of a uniform transverse magnetic field. The governing equations are made dimensionless and solved by finite difference method. The results for the velocity and temperature profiles are presented graphically along with the different range of dimensionless numbers of magnetic parameter M, Peclet number, Reynold number, Eckert number, Prandtl number etc. These results will have major application in designing bodies requiring high maneuverability and less resistance to the motion e.g. aerofoil and cooling fans.</p> <p><strong>Keywords: </strong>Thermal radiation, curved surface, MHD, Heat transfer</p>Kariuki MariamKinyanjui MathewAbonyo JeconiaKang’ethe Giterere5An Application of Time Series Analysis in Modeling Monthly Rainfall Data for Maiduguri, North Eastern Nigeria
http://www.iiste.org/Journals/index.php/MTM/article/view/26365
Time series analysis and forecasting has become a major tool in different applications in meteorological phenomena such as rainfall, humidity, temperature, draught and so on; and environmental fields. Among the most effective approaches for analyzing time series data is the ARIMA (Autoregressive Integrated Moving Average) model introduced by Box and Jenkins. In this study, Box-Jenkins methodology was used to model monthly rainfall data taken from Maiduguri Airport Station for the period from 1981 to 2011 with a total of 372 readings. ARIMA (1, 1,0) model was developed. This model was used to forecast monthly rainfall for the upcoming 44 months (3 years 8 months) to help decision makers establish priorities in terms of water demand management and agriculture. Thus, ARIMA (1, 1,0) provides a good fit for the rainfall data of Maiduguri and is appropriate for short term forecast.Key Words: Time Series Analysis, Rainfall Model, Forecasting, ARIMA.Emmanuel Sambo UbaH R Bakari5A study of Some Geometric Properties of Meromorphic Multivalent Functions Defined by Ruscheyeweh Derivative Operator
http://www.iiste.org/Journals/index.php/MTM/article/view/26366
In the present paper, we introduced a new class of meromorphic multivalent functions A.H. MajeedKassim A. Jassim5On random coincidence points and random best approximation in p-normed spaces
http://www.iiste.org/Journals/index.php/MTM/article/view/26367
In this paper random coincidence point results are proved for pair of commuting mapping defined on weakly compact separable subset of complete p-normed space. And then , use them to study the random best approximation in p-normed space with separablity condition.Keywords : p-normed space ,random coincidence point ,random best approximation.Saheb K. AlsaidySalwa S. AbedYusra J. Ajeel5Reliability Estimation in Multi-Component Stress-Strength Based on Burr-III Distribution
http://www.iiste.org/Journals/index.php/MTM/article/view/26370
In this paper, we estimate the multicomponent S out of K stress-strength system reliability for Burr-III distribution with non-identical component strengths which are subjected to a common stress. Both stress and strength are assumed to have Burr-III distribution with common and known scale parameter. The research methodology adopted here is to estimate the parameters by using five method of estimation maximum likelihood, least square, weighted least square, regression and moment estimation. The reliability is estimated using the same methods of estimation and results are compared by Monte-Carlo simulation study using MSE and MAPE criteria, the results show that the Ml was the best between them.Keywords: Burr-III distribution, stress-strength, reliability estimation, ML, LS, WLS, Rg and MOM estimationNada Sabah KaramHind Husham Jani5Seifert- Van Kampen Theorem
http://www.iiste.org/Journals/index.php/MTM/article/view/26372
<p>In this paper, the Seifert – Van Kampen Theorem deals with the situation where a path-connected space may be written as the union of two open path-connected intersection. The fundamental group of the space is isomorphic to the co-limit of the diagram of the fundamental groups of the three subspaces.</p> <p>We also considered the fact that the fundamental groups are all injective, the fundamental group of the space is a classical free product with amalgamation and also a free product with the amalgamation in the category of rings.</p> <p><strong>Keywords</strong>: Fundamental groups, Homotopy, Homomorphism, Seifert-Van Kampen, Simply Connected, Knot Theory.</p>Emmanuella Ehui Aribike5Strength and Direction of Demographic Variables as Determinants of Driver-Chauffeur Satisfaction in Judicial Procedural Fairness
http://www.iiste.org/Journals/index.php/MTM/article/view/26375
Studies have shown that treating litigants fairly is one way by which public confidence can be improved and sustained in the judiciary. Demographic features of such individuals may also influence their confidence indirectly and how they are satisfied with the procedures in the criminal justice system directly. The rationale of implementing the study was therefore to establish the extent of dissatisfaction of procedural fairness within the driver-chauffeur community in Cape Coast Metropolis in the Central Region of Ghana. The objectives were to determine the strength, direction and odds ratio of the major satisfaction predictors with reference to demographic characteristics. The study employed the purposive method, dwelling on the accidental technique to sample drivers and chauffeurs who had on one occasion or more fallen victim of traffic offence. Eighty subjects were sampled. The demographic variables considered include age; driving experience; type of vehicle; brand of vehicle; religion; and highest education attainment in relation to ten judicial fairness characteristics. Logistic regression was employed as the statistical tool to analyze the data using Statistical Package for the Social Sciences (SPSS) software, version 21. Generally, factors that influenced satisfaction were experience in driving (β2 = -0.667); type of vehicle (β3 = 0.553); religion (β4 = -0.363); highest educational attainment (β5 = -1.306) and brand of vehicle (β6 = -1.809). The contribution of age to the combined model was insignificant (ρ = 0.337). The paper recommends that judges in the metropolis should take these factors into consideration when hearing and deciding on matters concerning traffic offences.Key words: age; driving experience; educational attainment; religion; vehicle brand; vehicle type.Emmanuel Baffour-Awuah5The general Common positive solutions for adjointable Bounded operator equations
http://www.iiste.org/Journals/index.php/MTM/article/view/26384
The aim of this work, given the general common positive solutions of some types of adjointable boundedoperator equations define on complex Hilbert space, also introduce the general common positive solutionsfor system of operator equations upon some necessary and sufficient conditions for existence these solutionsvia g-inverse operator.Keywords: key words, positive solution, common positive solution.Salim D. MRana abdulkareem5Existence and Uniqueness of Solution of an HIV/AIDS Model Considering Counseling, Vaccination and Antiretroviral Therapy (ART)
http://www.iiste.org/Journals/index.php/MTM/article/view/26387
The control of HIV/AIDS is not yet over. Recently, the main method of control is the use of counseling and antiretroviral therapy (ART). In this study, a mathematical model of HIV/AIDS transmission dynamics considering counseling, vaccination and ART is formulated and the existence of its unique solution is investigated.Key words: HIV/AIDS, Mathematical Model, Existence and Uniqueness of Solution, Counselling, Vaccination, Antiretroviral TherapyI. J. M. UdooR. A. KimbirR. M. Odekunle5On Quasi-similarity of a product of Quasi-similar operators in Hilbert Spaces.
http://www.iiste.org/Journals/index.php/MTM/article/view/26391
<p>In this paper we investigate the conditions under which two operators <em>A </em>and <em>B </em>are quasi-similar implies <em>AB </em>and <em>BA </em>are also quasi-similar. It is herein shown that if <em>A </em>and <em>B </em>satisfy the Putnam-Fuglede property and are quasi-similar with the intertwining quasiaffinities self adjoint, then <em>AB </em>and <em>BA </em>are also quasi-similar.</p> <p><strong>AMS subject classification</strong>: 47B47, 47A30, 47B20</p> <p><strong>Keywords and phrases: </strong>Quasi-similarity, quasi-affinity and Putnam-Fuglede property.<strong> </strong></p>Kikete D.W.Luketero S.W.Mile J.K.Khalagai J.M5Dynamics of a prey-predator model involving a prey refuge and disease in the predator
http://www.iiste.org/Journals/index.php/MTM/article/view/26393
<p>In this paper, a mathematical model consisting of a prey-predator involving a prey refuge and infectious disease in the predator has been proposed and analyzed. Two types of functional responses are used to describe the feeding of the predator on the available prey. The existence, uniqueness and boundedness of the solution of the system are discussed. The dynamical behavior of the system has been investigated locally as well as globally using suitable Lyapunov function. The persistence conditions of the system are established. Local bifurcation near the equilibrium points has been investigated. The Hopf bifurcation conditions around the positive equilibrium point are derived. Finally, numerical simulations are carried out to specify the control parameters and confirm the obtained results<strong></strong></p> <p><strong>Keywords: </strong>Prey-Predator, Disease, Refuge, Stability, Bifurcation.</p>M.V. Ramana MurthyDahlia Khaled Bahlool5