Theses & Desertations
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MATHEMATICAL MODELING OF HIV/AIDS DYNAMICS AMONG THE FISHERFOLK AS A VECTOR FOR HIV: A CASE STUDY OF LAKE VICTORIA METAPOPULATIONS
(University of Eldoret, 202306)HIV/AIDS pandemic has remained the leading causes of death among the sexually transmitted diseases. To date, there has been no cure, and all the intervention measures involve preventive and reduction of the severity of the ... 
MODELLING COVID19 DYNAMICS (SPREAD AND CONTROL) AND THE EFFECTS OF A PREVENTIVE VACCINE
(University of Eldoret, 202309)Corona virus 2019 (COVID19) have been pandemic both in Africa and the whole world. This work formulated and analyzed mathematical model of COVID19 that monitors the temporal dynamics of the disease in the presence of ... 
MODELING THE EFFECTS OF CROP SPACING AND INORGANIC FERTILIZER ON THE POTATO TUBER YIELD AND SIZE USING FIRST ORDER TWOLEVEL FACTORIAL DESIGN
(University of Eldoret, 202206)The essential nutrients for growth and productivity to all living organisms, specifically plants are Nitrogen, Phosphorus and Potassium. However, there are other factors that contribute to optimum yield of crops; these ... 
FORECASTING TUBERCULOSIS INFECTIONS USING ARIMA AND HYBRID NEURAL NETWORK MODELS AMONG CHILDREN BELOW 15 YEARS IN HOMA BAY AND TURKANA COUNTIES, KENYA
(University of Eldoret, 202211)Tuberculosis (TB) among children under the age of 15 is a significant public health problem, particularly in resourceconstrained settings and is among top ten most dangerous causes of death worldwide, and ranks among the ... 
NUMERICAL SIMULATION OF EFFECTS OF VELOCITY AND DIFFUSION COEFFICIENT ON CONCENTRATION OF CONTAMINANTS IN FLUID FLOW
(University of Eldoret, 2022)The study developed and implemented Implicit and explicit schemes for solving one dimensional convection –diffusion equation modeling concentration of contaminant in a fluid flow .The study uses method of lines and exact ... 
AN INVESTIGATION ON MAGNETOHYDRODYNAMICS FLUID FLOW BETWEEN TWO PARALLEL INFINITE PLATES SUBJECTED TO AN INCLINED MAGNETIC FIELD AND VARYING TEMPERATURES
(University of Eldoret, 2015)Magnetohydrodynamics (MHD) is the study of electrically conducting fluids in the presence of magnetic fields. This study examined the motion of a viscous, electrically conducting and incompressible fluid flowing steadily ... 
SOLUTION OF THE NONLINEAR THIRD ORDER PARTIAL DIFFERENTIAL EQUATION OF A STEADY HYDROMAGNETIC FLOW THROUGH A CHANNEL WITH PARALLEL STATIONARY POROUS PLATES
(University of Eldoret, 2018)This thesis deals with the solution of the nonlinear third order partial differential equation of a steady hydromagnetic laminar flow of a conducting viscous incompressible fluid through a channel with two parallel ... 
A DESIGN OF A LOWREYNOLDS NUMBER AIRFOIL THAT LEADS TO THE FORMATION OF SEPARATION BUBBLES AT THE LEADING EDGE
(University of Eldoret, 2014)The aerodynamics of airfoils at low Reynolds numbers (Re) has become increasingly important from both fundamental and industrial points of view, due to recent developments in small wind turbines, small unmanned aerial ... 
OVERALL CENTRAL MOMENTS OF TRAFFIC DELAY AT A SIGNALIZED INTERSECTION
(University of Eldoret, 2013)Overall traffic delay model for estimating the mean and variance at a signalized intersection is discussed. The model was developed under basis of two delay components, namely deterministic and stochastic components. The ... 
STUDY OF STEADY AND UNSTEADY VISCOUS INCOMPRESSIBLE MHD FLUID FLOW
(University of Eldoret, 2017)An analytical study of laminar steady, viscous, incompressible Couette fluid flow between two infinite parallel plates under the influence of transverse magnetic field is studied. The resulting governing partial differential ... 
EOPTIMAL DESIGNS FOR SECONDDEGREE KRONECKER MODEL MIXTURE EXPERIMENTS
(University of Eldoret, 2013)Many products are formed by mixing together two or more ingredients. For example, in building construction, concrete is formed by mixing sand, water and cement. Many practical problems are associated with investigation of ... 
USE OF TAYLOR’S SERIES EXPANSION IN DEVELOPING FINITE DIFFERENCE METHODS FOR SOLVING THE WAVE EQUATION
(University of Eldoret, 2021)Hyperbolic partial differential equations (PDEs) are used to model physical phenomena such as wave propagation. Among the simplest hyperbolic equations are the 1D advection equation which is a first order PDE and the 1D ... 
MATHEMATICAL MODELLING ON THE IMPACT OF HOSPITALIZATION IN THE MANAGEMENT OF TYPHOID FEVER
(University of Eldoret, 2021)Typhoid fever disease is an infectious ailment which mostly leads to diarrhoea, headache, high fever and stomach pains. This disease is majorly caused by a bacterial infection known as Salmonella typhi. Typhoid fever has ... 
MATHEMATICAL MODELING OF FLOW OF WATER IN AN OPEN CHANNEL OF PARABOLIC CROSSSECTION
(University of Eldoret, 2021)This study investigates open channel flows with a parabolic crosssection. The objectives of this study were to examine the effects of top width, channel slope, and energy coefficient on flow velocity. The methodology used ... 
THE EFFECT OF TWO LATERAL INFLOW CHANNELS ON MAIN CHANNEL DISCHARGE
(University of Eldoret, 2021)In this study, we examined the flow from two lateral inflow channels in a manmade open rectangular channel of an incompressible Newtonian fluid. The influence of crosssectional area, length of two lateral inflow channels, ... 
MATHEMATICAL MODELLING OF FLOW OF FERTILIZERWATER MIXTURE THROUGH SOIL AND ITS EFFECT ON PLANT GROWTH.
(University of Eldoret, 2021)The demand for food in developing countries is increasing daily due to population growth and dropping crop yields caused by climatic changes and acidic soils due to continuous use of inorganic fertilizers that are meant ... 
MODELING KEY DRIVERS OF UNDERFIVE CHILD MALNUTRITION IN MARSABIT COUNTY, KENYA USING GENERALIZED LINEAR MODELS
(University of Eldoret, 2021)Malnutrition remains one of the major problems in developing countries affecting people of all age groups. The severity of the crisis varies among specific groups, such as children under the age of five years. In Kenya, ... 
MODELING THE YIELD OF SOYBEAN (Glycine max (L.) Merrill) USING A FOUR COMPONENT MIXTURE EXPERIMENT IN THE PRESENCE OF VARIATION CREATED BY TWO PROCESS VARIABLES WITHIN SPLITPLOT DESIGN
(University of Eldoret, 2021)Use of mixture design has become wellknown in statistical modeling due to its utility in predicting any mixture's response and thus serving as the foundation for optimizing the predicted response on blends of different ... 
BAYESIAN SEMIPARAMETRIC AND NONPARAMETRIC ESTIMATION OF RECEIVER OPERATING CHARACTERISTIC (ROC) SURFACE
(University of Eldoret, 2015)Receiver operating characteristic curve analysis is widely used in biomedical research to assess the performance of diagnostic tests. Estimation of receiver operating characteristic curves based on parametric approach has ... 
AN INVESTIGATION OF EFFECTS OF BOUNDARY LAYER THICKNESS ON A THIN FILM OF LIQUID FLOW DOWN AN INCLINED PLANE
(University of Eldoret, 2013)The motion of fluid substances can be described by the NavierStokes equations. These equations arise from the application of Newton's second Law of motion to a fluid. In this study, NavierStokes equations in two ...