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 Modeling2224-5804Variational Iteration Method for Mixed Type Integro-Differential Equations
http://www.iiste.org/Journals/index.php/MTM/article/view/32165
<p class="Default">In this paper, we approximate Lagrange multipliers to solve integro differential equations of mixed type those are linear first and second order. It is observed that use of approximate Lagrange multipliers reduces the iteration and give faster results as compare to other techniques. Numerical examples support this idea.</p> <p><strong>Keywords </strong>Approximate Lagrange Multiplier, Variational Iteration Method, Mixed Type Integro-Differential Equations.</p>Aamina ZanibJamshad Ahmad6BOUNDS OF SOLUTIONS OF DUFFING’S EQUATION
http://www.iiste.org/Journals/index.php/MTM/article/view/32166
<p>In this paper, a sufficient criteria is given to determine the bounds of solutions for a Duffing’s type equation using fixed point theorem of Schauder and augmented by Schaefer’s Lemma.Our results include and improve some well-known results in literature</p>OSISOGU U.AEZE EVERESTUS OBINWANNE6On the Equilibrium Points of Three Mutually Competing, Symmetric and Continuous Time Reproducing Organisms
http://www.iiste.org/Journals/index.php/MTM/article/view/32167
<p>This work deals with the problem of three mutually competing species within a stable ecosystem. The model is represented by a system of non-linear ordinary differential equations. As much as six non-extinction equilibrium states have been obtained depending on the value of various interaction or efficiency parameters. A set of numerical schemes for the discrete solution of the resulting system have been developed using the technique of non-local approximation and renormalisation of the denominator function which are the bedrock of non-standard finite difference method. The new scheme confirms that the analytic equilibrium points of the system compares favourably with a Runge kutta scheme of order four.</p> <p><strong>Keywords:</strong> Mutually competing, Continuous time reproducing organism, Nonstandard Method, Equilibrium point, Non-local approximation.</p>A.A. OBAYOMIM.O. OKE6A Factor Analysis of Consumer’s Buying Behavior of Sanitary Pads
http://www.iiste.org/Journals/index.php/MTM/article/view/32168
<p>The purpose of this research is to investigate into what factors influence the buying behaviour of consumers of sanitary pads in Takoradi Polytechnic. Consumer behaviour has been changed dramatically in the past decade. In today’s world of growing competition where there are numerous brands selling the same products, consumers is having an abundant number of choices and many other factors influence their buying behaviour. In order to accomplish this objective of the study, a sample of five hundred (500) consumers were sampled from both female (staff and student) of the Polytechnic community. A ten item questionnaire that employs a five-point differential scale ranging from ‘strongly disagree’ to ‘strongly agree’ was administered to the respondent. Among other things, the study result reveal that there are four dimensional factors informing the purchasing behaviour of consumers of sanitary pads, which accounted for 65.3% of variance in the original variables. Using factor analysis via principal component factoring<em> </em>with resulting data analysis done in SPSS (16), the dimensions adduced to be influencing buying behaviour of sanitary pads were: Health features (factor 1), Product features (factor 2), and Social influence (factor 3) and Economic factors( factor 4). This study is useful to the marketers as they can create various marketing programme that they believe will be of interest to the consumers. It can also boost their marketing strategy and also help other people who are working in other industries or in any private sector organization.</p> <p><strong>Keywords: </strong>Consumer Buying Behaviour, Sanitary pads, Factor analysis, Principal Component Factoring.</p>C.A. MensahE .A. AboagyeP. Baah6Mathematical Model of Catalytic Chemical Reactor
http://www.iiste.org/Journals/index.php/MTM/article/view/32169
<p>This study concerns mathematical modeling, analyzing and simulation aspect of a catalytic reaction kinetics. The paper has the form a feasibility study, and is not referring to actual industrial chemical reactors. The catalytic reaction equations are modeled in the form of non-linear ordinary differential equations. These equations are composed of kinetic parameters such as kinetic rate constants, concentration of substances and the initial concentrations. The modeling consists of establishing the model and discuss variations and simplifications by applying generic modeling tools like scaling, perturbation analysis and numerical experiments. Numerical simulations help corroborate theoretical results. The analysis here considers a revised model with permanent poisoning of the catalyst with no reversibility. To show that the numerical solution and the perturbation solution give approximate or identical results and to observe the actual functional behavior over the interval of interest, the equations of solutions are implemented, evaluated, and plotted using Matlab<sup>TM</sup>. The perturbation solutions are compared to numerical solutions obtained by the Matlab<sup>TM</sup> ODE solver ODE45.<strong> </strong></p> <p><strong>Key Words</strong>: Chemical reactor, Modeling, Scaling, Regular and Singular perturbation, Numerical experiments.</p>Sintayehu Agegnehu Matintu6Reliability Estimation for a Component Exposed Two, Three Independent Stresses Based on Weibull and InversLindley Distribution
http://www.iiste.org/Journals/index.php/MTM/article/view/32170
<p>The reliability function for a component which has strength independently exposed two stresses ; , also when exposed three stresses; using Weibull distribution with unknown scale and known shape parameters ,and using Invers<em> </em>Lindley distribution . Estimate the reliability , for Weibull distribution by four methods (MLE,MOM,LSE and WLSE) and also in the numerical simulation study a comparison between the four estimates by MES ,MAPE are introduced.</p> <p> </p> <p><strong>Keywords:</strong> Weibull , Invers<em> </em>Lindley distribution , stress-strength, reliability estimation, MLE, MOM , LSE and WLS estimation.</p>Nada S. KaramHawraa G. Ramk6Numerical Solution to Parabolic PDE Using Implicit Finite Difference Approach
http://www.iiste.org/Journals/index.php/MTM/article/view/32171
<p>This paper examines an implicit Finite Difference approach for solving the parabolic partial differential equation (PDE) in one dimension. We consider the Crank Nicolson scheme which offers a better truncation error for both time and spatial dimensions as compared with the explicit Finite Difference method. In addition the scheme is consistent and unconditionally stable. One downside of implicit methods is the relatively high computational cost involved in the solution process, however this is compensated by the high level of accuracy of the approximate solution and efficiency of the numerical scheme. A physical problem modelled by the heat equation with Neumann boundary condition is solved using the Crank Nicolson scheme. Comparing the numerical solution with the analytical solution, we observe that the relative error increases sharply at the right boundary, however it diminishes as the spatial step size approaches zero.</p> <p><strong>Keywords</strong>: Partial Differential Equation, Implicit Finite Difference, Crank Nicolson Scheme</p>John Amoah-MensahFrancis Ohene BoatengKwame Bonsu6Persistence and Global Dynamics of an Extended Rosenzweig-MacArthur Model
http://www.iiste.org/Journals/index.php/MTM/article/view/32172
<p><em>This paper investigates persistence and global dynamics of a tritrophic food chain model consisting of prey, predator, and super-predator. We establish dissipativeness, ultimate boundedness of an invariant region in the state space of this model via the notion of omega-limit sets, absorbing region and global attractor. We explore Freedman-Waltman theorem, and Bendixson-Dulac theorem to guarantee persistence conditions of the model. Lyapunov’s functionals and Lyapunov-LaSalle invariance principle ensure the existence of global asymptotic stability of the system. Numerical responses, phase-portrait and phase-flows were used to illustrate propositions and lemmas.</em></p> <p><strong><em>Key words:</em></strong><em> Global asymptotic stability; Lyapunov functional; Persistence.</em></p>Enobong E. JoshuaEkemini T. Akpan6Relation proximal point with some dynamical properties
http://www.iiste.org/Journals/index.php/MTM/article/view/32173
<p>In this paper we discussed relation proximal points with many of dynamical properties through studied topological transformation group , and it will given necessary condition for proximal relation to be minimal set ,and introduce new define replete set and semi-replete set by using concept of the replete set and semi-replete set as well as we introduce that many of new relations and theorem.</p> <p><strong>Key words</strong>: Proximal point, replete proximal point, syndetic set, semi-replete set, minimal set, almost periodic point .</p><p> </p>Enas . Y AbdullahAmeera N. AlkiffaiRana H. Hilal6Aboodh Transform Homotopy Perturbation Method For Solving System Of Nonlinear Partial Differential Equations
http://www.iiste.org/Journals/index.php/MTM/article/view/32174
<p>In this paper, we apply a new method called Aboodh transform homotopy perturbation method (ATHPM) to solve nonlinear systems of partial differential equations. This method is a combination of the new integral transform “Aboodh transform” and the homotopy perturbation method. This method was found to be more effective and easy to solve linear and nonlinear differential equations.</p> <p><strong>Key word:</strong>Aboodh transform Homotopy perturbation method Nonlinear systems of partial differential equations</p>Abdelilah K. Hassan SedeegMohand M. Abdelrahim Mahgoub6A predator-prey mathematical model with competitive interaction amongst two species
http://www.iiste.org/Journals/index.php/MTM/article/view/32175
<p>A mathematical model is constructed to study the effect of predation on two competing species in which one of the competing species is a prey to the predator whilst the other species is not under predation. We assume that all species can move by diffusion and study the spatial structure of the species and obtained conditions for the existence and stability of equilibrium solutions. The results indicate the possibility of a stable coexistence of the three interacting species in form of stable oscillations under the reflecting boundary conditions. Numerical simulations supported our theoretical predictions. By utilizing Liapunov-like functions and differential inequalities we were able to establish that the system is dissipative.</p>T. G. KassemJ. N. NdamJ. P. ChollomI.A. Nyam6A Two-Dimensional Chebyshev Wavelet Method for Solving Partial Di erential Equations
http://www.iiste.org/Journals/index.php/MTM/article/view/32176
In this paper, we introduce a two-dimensional Chebyshev wavelet method (TCWM) for solving partial di erential equations (PDEs) in L2(R) space. In this method, the spatial variables appearing in the PDE each has its own kernel, as well as wavelet coecient for approxi- mating the unknown solution of the equation. The approximated solu- tion of the equation is fast and has higher number of vanishing moments as compared to the Chebyshev wavelet method with only one wavelet coecient for two or more separated kernels for the variables appearing in the PDE.Benedict BarnesE. Osei-FrimpongF. Ohene BoatengJ. Ackora-Prah6