{"title":"SERIOUS CRIME IN NIGERIA AN EMPIRICAL ANALYSIS USING TIME SERIES DATA(BETWEEN 2000-2010)","authors":"David F. Adiele","doi":"10.4314/GJMAS.V12I1","DOIUrl":"https://doi.org/10.4314/GJMAS.V12I1","url":null,"abstract":"This paper empirically examined the effect of the clearance rate, the unemployment rate, the percentage of females in employment and the percentage of the labour force with tertiary education on Serious Crime in Nigeria for the period 2000-2011. Time-series data from (NBS) National Bureau of statistics and Nigeria police annual reports 2011are used and tests for the existence of a long runcointegration relationship among serious crime, clearance rate and various socio economic indicators is carried out. The cointegration analysis provides strong evidence of the existence of a long-run model. With the normalized coefficients showing a negative effect of the clearance rate, percentage of females in the labourforce and the percentage of the labour force with tertiary education on serious crime, with the exception being the unemployment rate which is found to exert a positive effect.","PeriodicalId":126381,"journal":{"name":"Global Journal of Mathematical Sciences","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122438425","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Mathematical Model For Attenuating the Spread Of Diabetes and Its Management In A Population","authors":"Ishaku Adamu, Y. Haruna, E. Garba","doi":"10.4314/GJMAS.V12I1.1","DOIUrl":"https://doi.org/10.4314/GJMAS.V12I1.1","url":null,"abstract":"We study the dynamics of diabetes in a population based on the etiology of the disease. In carrying out the study, we proposed that; a population generate non-diabetic non – susceptible sub-population, and a non-diabetic susceptible sub-population, the non-diabetic susceptible sub-population can further generate a population of diabetics without complication, who can later transit to a population with diabetic complications. Based on the etiology dynamics, we proposed control measures at the point of transition from the population to non-diabetic susceptible population, and at the point of transition from diabetes without complications to diabetes with complications. For this study, we intend to look at the control measure. In this regard, we proposed a mathematical model for the dynamics of diabetes by incorporating a control parameter h, so as to investigate how to control diabetes in a population. The result of the study suggested that; we need to control the incidence of diabetes, I(t), and improve the control measure, h, for transition from diabetes without complication to diabetes with complication. Thus entailing going further in research to; Look into the dynamics of the genetics of transmission of the diabetic gene, to investigate how to reduce the spread (and hence the incidence I(t)) of diabetes, and to also look into the influence of the control factor h, on the dynamics of glucose metabolism, this will give an insight on how to manage diabetic patients. Keywords: Diabetes, Population, Genes, Genetics, Etiology.","PeriodicalId":126381,"journal":{"name":"Global Journal of Mathematical Sciences","volume":"135 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126243521","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Evaluating Excesses And Shortfalls In Prison Services","authors":"A. Aliyu","doi":"10.4314/gjmas.v12i1.2","DOIUrl":"https://doi.org/10.4314/gjmas.v12i1.2","url":null,"abstract":"Using data envelopment analysis, an unbiased index was establish by evaluating the ability of states to maximize their objectives subject to minimizing some conditions (inputs). This approach, which rank state from the most robustly efficient to the most robustly inefficient in its ability to maximize goals (output), while minimizing conditions (input) avoid using equal or subjective weight employed in conventional ranking scheme. The ranking of 36 states yield unexpected result and suggest a very different way of measuring and evaluating development policy. Keywords: Data Envelopment Analysis, Decision Making Unit","PeriodicalId":126381,"journal":{"name":"Global Journal of Mathematical Sciences","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125277267","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On Lu Factorization Algorithm With Multipliers","authors":"O. Ntekim, I. Esuabana, U. Edeke","doi":"10.4314/GJMAS.V12I1.3","DOIUrl":"https://doi.org/10.4314/GJMAS.V12I1.3","url":null,"abstract":"Various algorithm such as Doolittle, Crouts and Cholesky’s have been proposed to factor a square matrix into a product of L and U matrices, that is, to find L and U such that A = LU; where L and U are lower and upper triangular matrices respectively. These methods are derived by writing the general forms of L and U and the unknown elements of L and U are then formed by equating the corresponding entries in A and LU in a systematic way. This approach for computing L and U for larger values of n will involve many sum of products and will result in n 2 equations for a matrix of order n. In this paper, we propose a straightforward method based on multipliers derived from modification of Gaussion elimination algorithm. Keywords: Lower and Upper Triangular Matrices, Multipliers.","PeriodicalId":126381,"journal":{"name":"Global Journal of Mathematical Sciences","volume":"81 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124096846","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Forecasting In One-Dimensional And Generalized Integrated Autoregressive Bilinear Time Series Models","authors":"Jf Ofo","doi":"10.4314/GJMAS.V12I1.4","DOIUrl":"https://doi.org/10.4314/GJMAS.V12I1.4","url":null,"abstract":"In this paper, forecast of one-dimensional integrated autoregressive bilinear is compared with forecast of generalized integrated autoregressive bilinear model. We describe the method for estimation of these models and the forecast. It is also pointed out that for this class of non-linear time series models; it is possible to obtain optimal forecast. The estimation technique is illustrated with respect to a time series, and the optimal forecast of these time series are calculated. A comparison of these forecasts is made using the two models under study. The mean square error for forecast in generalized integrated autoregressive bilinear model is smaller than the mean square error for forecast in one-dimensional integrated autoregressive bilinear model. Though the two models are adequate for forecast when compared with the real series but forecast with generalized integrated autoregressive bilinear model is more adequate. Keywords: Optimal Forecast, Non-Linear Time Series Models, Bilinear Models, Estimation Technique, Mean Square Error.","PeriodicalId":126381,"journal":{"name":"Global Journal of Mathematical Sciences","volume":"459 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125832148","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Mobile User Interface For Low-Literacy Users In Rural South Africa","authors":"Ea Emmanuel, Hn Muyingi","doi":"10.4314/GJMAS.V12I1.5","DOIUrl":"https://doi.org/10.4314/GJMAS.V12I1.5","url":null,"abstract":"Information and Communication Technology services for socio-economic development of low-literacy users in rural communities in developing regions are new research contributions that seek to alleviate poverty in underserved communities. The intended users are still new to these technologies and can be described as novice users. This study was conducted to design a mobile user interface to enable low-literacy users in Dwesa community in South Africa to have access to mobile commerce services. We applied different ethnographic research methods through a usercentred design approach to actively involve the target users in the design process. This helped to identify the users’ needs and also meet users’ expectations. The usability of the mobile user interface was evaluated with the target users in the community. The user evaluation shows that the users have positive attitudes and perception of the system. The study found that the user interface conforms to the users’ cultural experience and preferences and they are also positive in their intent to use the user interface.","PeriodicalId":126381,"journal":{"name":"Global Journal of Mathematical Sciences","volume":"68 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121130018","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Optimum workforce-size model using dynamic programming approach","authors":"S. Ogumeyo","doi":"10.4314/GJMAS.V9I1.62496","DOIUrl":"https://doi.org/10.4314/GJMAS.V9I1.62496","url":null,"abstract":"This paper presents an optimum workforce-size model which determines the minimum number of excess workers (overstaffing) as well as the minimum total recruitment cost during a specified planning horizon. The model is an extension of other existing dynamic programming models for manpower planning in the sense that it strikes a balance between overstaffing and understaffing at each stage of the computations. The model also considers a manpower planning system in which the employment level has upper and lower bounds. The employment level varies from one period to another while the cost incurred in each period depends only on recruitment size and the overstaffing cost from an earlier stage. A mathematical problem is formulated and solved to illustrate the model numerically. KEYWORDS: Workforce-size, dynamic programming, Optimum, Overstaffing and Understaffing.","PeriodicalId":126381,"journal":{"name":"Global Journal of Mathematical Sciences","volume":"119 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122408139","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A model for nonlinear innovation in time series.","authors":"D. Ebong","doi":"10.4314/GJMAS.V9I1.62500","DOIUrl":"https://doi.org/10.4314/GJMAS.V9I1.62500","url":null,"abstract":"This paper introduces a class of nonlinear innovation process that has similar properties as the white noise process. Consequently the process can be a replacement of the white noise process in cases where the latter is inadequate as residual process. KEYWORDS: Asymptotic distribution of autocorrelation, nonlinear errors, nonlinear residuals, nonlinear time series","PeriodicalId":126381,"journal":{"name":"Global Journal of Mathematical Sciences","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131980775","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On some properties of the alternating Sylvester series and alternating Engel series representation of real numbers","authors":"O. Izevblzua, A. Okoromi","doi":"10.4314/GJMAS.V9I1.62502","DOIUrl":"https://doi.org/10.4314/GJMAS.V9I1.62502","url":null,"abstract":"We investigate some properties connected with the alternating Sylvester series and alternating Engel Series representation for real numbers, in terms of the integer digits involved. In particular, we look at an algorithm that leads to a general alternating series expansion for real numbers in terms of rationals and deduce the alternating Sylvester and alternating Engel series from this general series. KEY WORDS: alternating Sylvester series, alternating Engel series, rational numbers, alternating series expansion.","PeriodicalId":126381,"journal":{"name":"Global Journal of Mathematical Sciences","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132822380","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Stability results of a mathematical model for the control of HIV/AIDS with the use of male and female condoms in heterosexual populations","authors":"S. Musa, A. Kimbir, M. Egwurube, D. Igobi","doi":"10.4314/gjmas.v9i1.62495","DOIUrl":"https://doi.org/10.4314/gjmas.v9i1.62495","url":null,"abstract":"A compartmentalized deterministic mathematical model for the dynamics of HIV/AIDS under the use of male and female condoms has been formulated and studied qualitatively. Disease-free equilibria of the sub-models have been found to be locally and asymptotically stable. Stability results revealed threshold values for the proportions of susceptible and infected subpopulations that must use condom in order to achieve control, and possibly, eradication of HIV/AIDS in heterosexual populations. Condom use rate for the susceptible subpopulations has been found to be bounded above by the population’s birth rate, while that of the infected subpopulations is bounded below by a given threshold. KEYWORDS: Locally and asymptotically stable, disease-free equilibrium, HIVAIDS control","PeriodicalId":126381,"journal":{"name":"Global Journal of Mathematical Sciences","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120953028","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}