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Mathematical Modeling and Simulation Study for the Control and Transmission Dynamics of Measles
Selam Nigusie Mitku,
Purnachandra Rao Koya
Issue:
Volume 5, Issue 4, August 2017
Pages:
99-107
Received:
15 April 2017
Accepted:
2 May 2017
Published:
6 July 2017
Abstract: In this paper, a five compartmental model has been considered and investigated the transmission dynamics of measles disease in the human populations. The only one infected compartment in the standard model has been split into two: Infected catarrh, and infected eruption. Measles is a deadly disease that is very common and contagious in the world. However, if enough care is taken one can survive easily against Measles disease. The Measles disease has no specific treatment but vaccination is available. It has been shown that the model has a positive solution and is bounded. The basic reproduction number is derived using the next generation matrix method. The disease free equilibrium point is found and endemic equilibrium state is identified. It is shown that the disease free equilibrium point is locally and globally asymptotically stable if the reproduction number takes a value less than one unit and unstable if it is more than one unit. Numerical simulation study is conducted using ode 45 of MATLAB. The results and interpretations are elaborated and included in the text. Description of the model, Mathematical analysis, stability analysis, and simulation studies are conducted and the results are included. The standard model and the proposed models have been compared and the observations are presented in a tabular form.
Abstract: In this paper, a five compartmental model has been considered and investigated the transmission dynamics of measles disease in the human populations. The only one infected compartment in the standard model has been split into two: Infected catarrh, and infected eruption. Measles is a deadly disease that is very common and contagious in the world. H...
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Project Cost Overrun Management in Universities Using Partial Least Squares-Structural Equation Modelling
Abam Ayeni Omini,
Ogbonna Eric Nnamdi,
Nsien Edwin,
Nzeako Gladys
Issue:
Volume 5, Issue 4, August 2017
Pages:
108-113
Received:
9 May 2017
Accepted:
2 June 2017
Published:
13 July 2017
Abstract: The construction industry is a very important sector of the Nigerian economy. It contributes significantly to the Gross National Product. Cost overrun is an integral part of the construction industry. It generates in projects financial loss to both contractors and owners (clients). It is an important parameter for success of any project that results to serious sequences. Cost overrun is a chronic problem for tertiary institutions. This is because, it is common for projects not to be completed on time and within the initial project budget. The paper assess the management of project cost overrun, reasons for cost overrun and suggested solutions in selected Public Tertiary Institutions in Lafia Metropolis using Partial Least Squares-Structural Equation Modelling (PLS-SEM). The results show that contractor’s site management related factors has 97.6% effect on cost overrun, followed by non-human resource related factors with an effect of 94.4% on cost overrun. The least was information and communication technology related factors having 75.7% effect on cost overrun. The findings reveal that the PLS-SEM is a model that evaluates a data as a collective entity.
Abstract: The construction industry is a very important sector of the Nigerian economy. It contributes significantly to the Gross National Product. Cost overrun is an integral part of the construction industry. It generates in projects financial loss to both contractors and owners (clients). It is an important parameter for success of any project that result...
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Function as the Generator of Parametric T-norms
Md. Shohel Babu,
Shifat Ahmed
Issue:
Volume 5, Issue 4, August 2017
Pages:
114-118
Received:
23 May 2017
Accepted:
21 June 2017
Published:
24 July 2017
Abstract: The method of constructing t-norms by generators consists in using a unary function (generator) to transform some known binary function (usually, addition or multiplication) into a T-norm. In order to allow using non-bijective generators, which do not have the inverse function, we have used the notion of pseudo-inverse function. Many families of related t-norms can be defined by an explicit formula depending on a parameter p. Firstly; some continuous and decreasing parametric functions have been selected. Then generate parametric T-norms by using those functions based on additive generator.
Abstract: The method of constructing t-norms by generators consists in using a unary function (generator) to transform some known binary function (usually, addition or multiplication) into a T-norm. In order to allow using non-bijective generators, which do not have the inverse function, we have used the notion of pseudo-inverse function. Many families of re...
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Oscillation Conditions for a Type of Second Order Neutral Differential Equations with Impulses
Ubon Akpan Abasiekwere,
Edwin Frank Nsien,
Imoh Udo Moffat
Issue:
Volume 5, Issue 4, August 2017
Pages:
119-123
Received:
20 October 2016
Accepted:
14 November 2016
Published:
24 August 2017
Abstract: In this paper, we study a certain type of second order linear neutral differential equation with constant impulsive jumps. This type of equation is known always to possess an unbounded non-oscillatory solution. The method and technique of impulse imposition used here is due to studies by Bainov and Simeonov [1]. By assuming, amongst other conditions, that the constant coefficient of the equation in question lies between zero and one and the delay function is non-decreasing, it is shown that all bounded solutions of the said neutral impulsive equation are oscillatory.
Abstract: In this paper, we study a certain type of second order linear neutral differential equation with constant impulsive jumps. This type of equation is known always to possess an unbounded non-oscillatory solution. The method and technique of impulse imposition used here is due to studies by Bainov and Simeonov [1]. By assuming, amongst other condition...
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