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 Modeling2224-5804Factor Analysis of Issues Contributing to Examination Malpractice in a Tertiary Institution in Ghana
http://www.iiste.org/Journals/index.php/MTM/article/view/31422
<p>The success of every educational institution depends on its ability to observe its code of ethics in respect of all its operations to achieve its mission. This achievement, if persistently monitored and consolidated, will help raise the image of that institution and hence gain high public recognition, which will in the nutshell contribute to sustainable quality education. This research was necessitated by the recurrence of examination malpractice at all levels of basic, secondary and tertiary education in recent times in Ghana. This phenomenon of examination malpractice does not augur well for the education system of Ghana and for that matter the future of the nation, especially when all educational institutions have codes governing the conduct of examination.<strong> </strong>Therefore, any factor that is likely to undermine effort at ensuring adherence to the code of ethics ought to be identified and eliminated. This paper reports on an enquiry into factors contributing to examination malpractice at one of the tertiary institutions in Ghana. A sample size of two hundred and fifty (250) students was used for the study. Among other things, the research findings revealed that there are three dimensions contributing to examination malpractice in the tertiary institution, which accounted for 70.65% of the variance in the original variables. In sum, the issues considered to be contributing to examination malpractice in the tertiary institution are: misconduct of some lecturers and invigilators, societal moral decadence, and institutional failures. Staff and students of the polytechnic will do well to focus on these dimensions to safeguard the image of the institution.</p> <p><strong>Keywords: </strong>Examination Malpractice, Factor Analysis, Principal Component Factoring</p>Mohammed FrempongEvans. B A. ArlooChristopher K. Amissah6Mathematical modeling of Fish Resources Harvesting with Predator at Maximum Sustainable Yield
http://www.iiste.org/Journals/index.php/MTM/article/view/31423
<p>In this study, the population dynamic of fish is considered following Logistic model with the inclusion of harvesting. The prey-predator interaction is also considered with an assumption that the predator population which is completely theoretical and not physically defined has a little effect on the growth of prey population provided that there are no limiting factors other than the predators. This is to say that the prey-predator cycle remains stable as far as other factors are constant in the natural environment. The growth function of the predator population is constructed corresponding to the prey population, and its results showed that the predator population size is either convergent to a finite positive limit, zero or diverges to positive infinity; while the fish population size follows Logistic function and grows to an upper asymptote. Furthermore, the prey-predator interaction is considered with the assumption that the predator population has an effect on the growth of the prey population and the predator population has intra-specific competition for a limited environmental resource. Its result showed that both the prey- predator population size settle down to their corresponding coexistence equilibrium point.In both cases the maximum sustainable yield is obtained, numerical simulation and stability analysis of the model are included.</p> <p><strong>Keywords: </strong>Fish harvesting, Logistic model, Prey-predator, Koya-Goshu, Numerical simulation, Stability analysis, Maximum sustainable yield.</p>Kinfe Hailemariam Hntsa6Hepatitis B Virus Disease: A Mathematical Model for Vertical Transmission with Treatment Strategy
http://www.iiste.org/Journals/index.php/MTM/article/view/31424
<p>This paper presents a mathematical model that captures some essential information about the impacts of treatment on hepatitis B vertical transmission. The treatment induced reproduction number is compared with the basic reproduction number to assess the possible benefits to be obtained from this control measure. Numerical results and sensitivity analysis are carried out to support the analytical results and determine the parameters influencing the dynamics of the disease. It is indicated that in the presence of treatment, transmission of infection decreases, implying that the number of acute and chronic infected adult women decrease as well, resulting into fewer infected newborn babies.</p> <p> </p> <p><strong>Mathematics Subject Classification: 34D20</strong></p> <p><strong>Key words:</strong> Hepatitis B virus, vertical transmission, treatment, reproduction number</p>Nyimvua ShabanDoroth Manoza6DELTA-CONVERGENCE FOR ASYMPTOTICALLY NONEXPANSIVE MAPPING IN CAT(K) SPACE THROUGH MODIFIED S- ITERATION PROCEDURE
http://www.iiste.org/Journals/index.php/MTM/article/view/31425
<p>In this paper we establish convergence theorem for asymptotically non expansive mapping in CAT () space and will approximate fixed point through modified S-iteration procedure.</p> <p><strong>Keywords</strong>: Fixed point ,Asymptotically nonexpansive mapping, -convergence,CAT () space, S-iteration</p> <p>MSC: 47H10, 54H25.</p>Anil RajputAbha TenguriaSanchita Pandey6A Mathematical Model for Population Density Dynamics of Annual Weeds and its Application to Bush Mint Weed (Hyptis suaveolens)
http://www.iiste.org/Journals/index.php/MTM/article/view/31426
<p>In this paper, a discrete-time stage-structured mathematical model was formulated for the population density dynamics of annual weeds. Biological process was employed to develop the model equations and incorporates density-dependent effects at germination and established seedling stages within the weed life-cycle. Besides, the developed model framework was applied to investigate the population density dynamics of Bush Mint weed (<em>Hyptis suaveolens</em>). The analysis revealed that the steady state solution is locally asymptotically stable and conclude that, whenever the steady state population is disturbed through management effort the weeds will always proliferate. Also, the steady state density of<em> H. suaveolens</em> is globally asymptotically stable and concludes that its population density may be control or eradicated.</p> <p><strong>Keywords D</strong>iscrete-time, density-dependent, stage –structured, steady-state, annual weeds<strong>, </strong>biological-process, <em>Hyptis suaveolens</em> <strong></strong></p>Nasir, M. O.Akinwande, N. I.Kolo M. G. M.Mohammed, J.Rose Abbah6On Jordan (σ,τ) - Higher Reverse Derivations of Gamma-Rings
http://www.iiste.org/Journals/index.php/MTM/article/view/31427
More details can be found in the full paper.Fawaz Raad Jarullah6On Jordan Generalized (σ,τ) -Higher Reverse Derivations of Gamma Rings
http://www.iiste.org/Journals/index.php/MTM/article/view/31428
More details can be found in the full paper.Fawaz Raad Jarullah6On Generalized Jordan Isomorphisms of a Gamma- Ring M onto a Gamma- Ring M'
http://www.iiste.org/Journals/index.php/MTM/article/view/31429
More details can be found in the full paper.Fawaz Raad Jarullah6Analytical Solution of Multi-Pantograph Delay Differential Equations Via Sumudu Decomposition Method
http://www.iiste.org/Journals/index.php/MTM/article/view/31430
<p>In this paper, we apply Sumudu Decomposition Method (SDM) to solve the multi-pantograph delay differential equations with constant coefficients. Three problems are resolved to show the effectiveness and consistency of the SDM. The obtained results by this method provide solutions in a series form and in few terms. This technique successfully determines the convergence of the solution.</p> <p><strong>Keywords: </strong>Sumudu Decomposition Method (SDM), Multi-Pantograph Delay Differential Equations</p>Sundas RubabJamshad Ahmad6COMMON RANDOM FIXED POINT RESULT IN SYMETRIC SPACE
http://www.iiste.org/Journals/index.php/MTM/article/view/31431
<p>Under random iteration scheme we study necessary conditions for convergence to a common fixed point of two pair of JSR random operators satisfying generalized contractive condition in the framework of symmetric spaces.</p> <p> </p> <p>Mathematical Subject Classification(2000): 54H25,47H10</p> <p><strong>Keywords</strong>: Symmetric space, JSR random operator, common fixed point.</p>Manoj ShuklaArjun Kumar Mehra6FIXED POINT METRICALLY CONVEX METRIC SPACE
http://www.iiste.org/Journals/index.php/MTM/article/view/31432
<p>In this paper we establish a fixed point theorem for the hybrid pair of multivalued and single valued nonself JSR mapping in metrically convex metric space. Also we give example in support of the result.</p> <p><strong>Mathematical Subject Classification</strong>(2000) 54h25 , 47h10</p> <p><strong>KeyWords: </strong>Metrically Convex metric space, JSR mapping, common fixed point.</p>Rizwana JamalNidhi GargavGeeta Modi6Modeling the Dynamics of Hepatitis C Virus and Immune System during Acute Infection
http://www.iiste.org/Journals/index.php/MTM/article/view/31433
<p>In this paper, a mathematical model on the interaction between hepatitis c virus (HCV) and immune system has been studied. The paper intends to upgrade the model developed by Avendano et al.(2002) by including death of hepatocytes due to infection and spontaneous clearance of viruses by a noncytolytic process during acute stage of the HCV infection. The next generation matrix method has been applied to compute the basic reproductive number. Also, the stability analysis of the system has been performed for the existence of the disease free and endemic equilibrium states using Meltzer matrix, Routh-Hurwitz and Lyapunov methods. The results indicate that the disease free equilibrium state is locally asymptotically stable if, and unstable if.The endemic equilibrium state is both locally and globally asymptotically stable. We calculated the sensitivity indices of the dynamic threshold relating to each parameter in the model, where we found that the decrease of the rate of infection and the rate of generation of virions have the effect of lessening the infection, which suggests that the disease can be controlled when therapeutic intervention is done on these parameters.</p><p><strong>Keywords</strong>: Hepatitis C virus, Immune system, Basic reproductive number, Disease-free equilibrium state, Endemic equilibrium state.</p>Seleman IsmailLivingstone LuboobiYaw Nkansah-Gyekye6Performance Assessment of Mathematics and Statistics Students of a Tertiary Institution in Ghana
http://www.iiste.org/Journals/index.php/MTM/article/view/31434
<p>The contribution of mathematics and its allied sciences is central to sustainable economic development of every nation. Students’ performance in mathematics/statistics at tertiary level of education leaves much to be desired. This paper seeks to investigate academic performance of students of students of mathematics and statistics of a tertiary institution in Ghana. It examines students’ performance in mathematics/statistics with respect to; gender, the period from 2000 to 2012, and the nature of relationship in terms of mathematics/statistics achievement between the various semesters of the study. The study made use of data on academic records of ten (10) cohorts of 617 Higher National Diploma, (HND) statistics students who were admitted to and graduated from the Mathematics and Statistics Department of the institution. The study revealed that, although males far outnumbered females, their performances are the same; students’ performance differed among the various years of study. In general, students’ performance increased across the study period. Further, students’ performances in some of the semesters were found to be related to other semesters<strong>. </strong>It was recommended that;<strong> </strong>more females enroll into mathematics and mathematics related programmes to ensure a balanced representation of gender, students’ CGPA be monitored persistently for appropriate advice, and<strong> </strong>the research work be replicated in other tertiary institutions to give a broader picture of students’ achievement in mathematics/statistics<strong></strong></p> <p><strong>Keywords:</strong> Academic performance, Cumulative Grade Point Average, Mathematics/Statistics</p>Mohammed FrempongMichael Asare-Bediako6Modelling the Volatility of Maize Prices Using Autoregressive Integrated Moving Average Model
http://www.iiste.org/Journals/index.php/MTM/article/view/31531
<p>This paper examined the monthly prices of maize using Autoregressive Integrated Moving Average (ARIMA) models so as to determine the most efficient and adequate model for analyzing the volatility of the maize prices in Kenya. An exploratory research design and purposive sampling method was adopted for a sample of 55 observations. The monthly maize price data for 90kg bag of maize for a period of five years obtained from Kenya National Bureau of Statistics and National Cereals and Produce Board archives. Time series Analysis was done using R-Gui software. The results indicate that Autoregressive Integrated Moving Average models ARIMA (1,2,2) is the most adequate and efficient model. This was ascertained by comparing the various model selection criterion and the diagnostic tests for various models among them Akaike Information Criteria A better understanding of a country's maize price situation and future prices will facilitate users to make appropriate decisions regarding buying and selling patterns hence adequate policy for maintain stable maize prices. The forecasted results suggest that there are expectations of increasing maize prices in the next five months. This requires the government to take appropriate measures to ensure that this trend of increasing prices is regulated</p> <p><strong>Key words:</strong> ARIMA Model, Volatility, Akaike Information Criteria, Maize Prices</p>Jacob Kirimi6