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 Modeling2224-5804Mathematical Study of Risk Factors of Breast Cancer
http://www.iiste.org/Journals/index.php/MTM/article/view/34385
<p>In the present paper we study some literature and methodology on risk factors for breast cancer in women. This paper is based on modeling on cancer, especially breast cancer. We study the risk factors and forms mathematical equations using interpolation formulas.</p> <p>Key-words: risk factors, interpolation formula,</p>Ritu SaxenaRamakant BhardwajBasant Kumar SinghKeerty Shrivastava6Mathematical Modelling of Three Species Food Web with Lotka-Volterra Interaction and Intraspecific Competition
http://www.iiste.org/Journals/index.php/MTM/article/view/34386
<p>Food chain is the transformation of energy from autotrophs to heterotrophs in an ecological zone. Food web is a system of interconnected food chains. In this study, three species food web with intraspecific competition for limited environmental resources and Lotka-Volterra interaction of one species on the other was considered. There were five equilibrium points obtained from the assumptions of no prey exists, no predator exists, no intermediate predator exists, no top predator exists, and coexistence of the species in the environment. Taking these assumptions in to account the dynamics of the model is investigated qualitatively and the result showed that all the species settle down to their corresponding existence equilibrium points provided that in the absence of any predators, in the absence of the intermediate predator and in the absence of the top predator. Scaling, Stability analysis and numerical simulation of the model were also considered.<strong></strong></p> <p><strong>Keywords: </strong>Food web, Lotka-Volterra interaction, Stability analysis, Numerical simulation.</p>Kinfe Hailemariam HntsaZenebe Teka Mengesha6Fully Fuzzy Linear System in Circuit Analysis with the Study of Weak Solution
http://www.iiste.org/Journals/index.php/MTM/article/view/34387
<p>In this paper, a simpler method to solve a fully fuzzy linear system (FFLS) with unrestricted coefficient matrix is discussed. FFLS is applied in circuit analysis instead of crisp linear system to reflect the real life situation much better. Arithmetic operations of triangular fuzzy number (TFN) are justified by forming FFLS in an electrical circuit with fuzzy sources and fuzzy resistors and then the system was solved by the simpler method. Finally, the case of weak solution is overcome by proposing a new definition of TFN.</p> <p><strong>Keywords: </strong>Fuzzy number, Triangular fuzzy number, Fully fuzzy linear system, Circuit analysis, Weak solution</p>Md. Mijanur RahmanG. M. Ashikur Rahman6Two New Predictor-Corrector Iterative Methods with Third- and Ninth-Order Convergence for Solving Nonlinear Equations
http://www.iiste.org/Journals/index.php/MTM/article/view/34388
<p>In this paper, we suggest and analyze two new predictor-corrector iterative methods with third and ninth-order convergence for solving nonlinear equations. The first method is a development of [M. A. Noor, K. I. Noor and K. Aftab, Some New Iterative Methods for Solving Nonlinear Equations, World Applied Science Journal, 20(6),(2012):870-874.] based on the trapezoidal integration rule and the centroid mean. The second method is an improvement of the first new proposed method by using the technique of updating the solution. The order of convergence and corresponding error equations of new proposed methods are proved. Several numerical examples are given to illustrate the efficiency and performance of these new methods and compared them with the Newton's method and other relevant iterative methods.</p> <p><strong> </strong></p> <p><strong>Keywords:</strong> Nonlinear equations, Predictor–corrector methods, Trapezoidal integral rule, Centroid mean, Technique of updating the solution; Order of convergence.</p>Noori Yasir Abdul-Hassan6Modified Maximum Likelihood Estimators for One- Way Repeated Measurements Model
http://www.iiste.org/Journals/index.php/MTM/article/view/34389
<p>In this paper, we will study estimation of variance components in the one-way repeated measurements model (one-way- RMM),by maximization without use numerical methods, there are many methods to estimate parameters of analysis of variance. The difficulty of this estimation increases in unbalanced repeated measurements designs. One of these methods that are frequently used in estimation is the maximum likelihood method, because of the difficulty in finding the roots of the likelihood equations, a modified method has been used for one-way- RMM in the case of two and three levels.</p> <p><strong>Keywords:</strong> one-way-RMM, maximum likelihood function, estimator of variance.</p>Abdul-Hussein Saber Al-MouelHassan Raheem Showel Al-Shmailawi6Convex Regularization Method for Solving Cauchy Problem of the Helmholtz Equation
http://www.iiste.org/Journals/index.php/MTM/article/view/34390
<p>In this paper, we introduce the Convex Regularization Method (CRM) for regularizing the (instability) solution of the Helmholtz equation with Cauchy data. The CRM makes it possible for the solution of Helmholtz equation to depend continuously on the small perturbations in the Cauchy data. In addition, the numerical computation of the reg- ularized Helmholtz equation with Cauchy data is stable, accurate and gives high rate of convergence of solution in Hilbert space. Undoubtedly, the error estimated analysis associated with CRM is minimal.</p><p><strong>Mathematics Subject Classi cation</strong>: 44B28; 44B30</p><p><strong>Keywords</strong>: Convex Regularization Method, ill-posed Helmholtz equation with Cauchy data, stable solution</p>Benedict BarnesE. Osei-FrimpongJ. Ackora-PrahS. K. Amponsah6