Chapter One 1.0 General Introduction
Ever since the identification of Human immunodeficiency virus (HIV) as the cause of Acquired Immune Deficiency Syndrome (AIDS) in 1983, the infection has become a global epidemic. HIV/AIDS is a unique and complex crisis that requires immediate attention and long-term solutions. Tumer and Unal (2000) argue that HIV/AIDS is a highly intricate health issue of the 21st century. Despite the significant efforts made in terms of funding,...

INTRODUCTION: Human beings are at constant risk of infectious diseases. No human can be exempted from the menace of epidemic disease (Ademola and Odeniran 2016) . The continuous reports from emerging and re-emerging infectious diseases remain a global concern. Transmission mecha-nisms of epidemic disease can only be properly understood by developing potent prophylactic tools for existing and emerging organisms (CDC 2019). Micro-organisms are usually the main causes of infectious diseases, dep...

ABSTRACT

The Lomb-Scargle discrete Fourier transform (LSDFT) is a fairly popular technique for analyzing time series within the astronomy community. However, this algorithm is largely unknown in many other disciplines, despite many potential applications. In particular, the atmospheric sciences stand to benefit substantially from implementing it, since much of the corpus of observational data is irregularly sampled. In this study, a solution for empirical orthogonal functions (EOFs)...

ABSTRACT

The purpose of the study is to develop a lot sizing model for growing chickens if the supplier of the products offers incremental quantity discounts. A mathematical model was derived to determine the Optimal Inventory Policy which minimizes the total inventory cost in both the owned and rented facilities. A solution procedure for solving the model is developed and illustrated through a numerical example. Sensitivity Analysis was performed to demonstrate the response of the...

Abstract

be a finite n -element set and let

Sn , An

and Dn

be the

Symmetric, Alternating and Dihedral groups of

X n , respectively. In this thesis we

obtained and discussed formulae for the number of even and odd permutations (of an n - element set) having exactly k fixed points in the alternating group and the generating functions for the fixed points. Further, we give two different proofs of the

number of even a...

Abstract

The first part of this work established, with examples, the fact that there are more than one non-abelian isomorphic types of groups of order n = sp, (s,p) = 1, where s<p and p º 1 (mod s) for 100 < p < 4000. The factors s and p are distinct primes. Specifically considered here are groups of order n = 2p, 3p, 5p, 7p, 11p and 13p. It was discovered that the number of non-abelian isomorphic types of groups of order n = sp, s<p increased as n increased. The de...

1.1Background of study

Vinylidine chloride, also referred to as 1,1-dichloroethylene (1,1-DCE) is a colourless liquid (b.p.  32.2qC),  produced  by  dehydrochlorination  of  1,1,2  ±trichloroethane  [Cl2CH CH2Cl],  a relatively  unwanted  by-product  formed  in  the  production  of  1,1,1±trichloroethane  and  1,2± dichloroethane. Conversion to 1,1±DCE involves...

ABSTRACT

This research focuses on the formulation of block hybrid methods with power series as basic function through interpolation and collocation techniques for numerical solution of second order initial value problems in ordinary differential equations. The step number for the derived block hybrid method is k=2 with two off-step point and four off- step points. The basic properties of numerical methods were analyzed and findings revealed that the methods were consistent, zero-sta...

ABSTRACT

Mathematics is the bedrock of scientific, technological and national development. Despite the importance of Mathematics, poor performance of students in the subject still persists at the secondary school level. The problem has been attributed to several factors which include non- utilisation of instructional strategies that make use of student’s prior knowledge and memory such as the Mnemonic and Prior knowledge-based instructional strategies. Studies have shown that...