Department of Mathematics and Computer Science: Recent submissions
Now showing items 1-20 of 58
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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, 2023-06)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 COVID-19 DYNAMICS (SPREAD AND CONTROL) AND THE EFFECTS OF A PREVENTIVE VACCINE
(University of Eldoret, 2023-09)Corona virus 2019 (COVID-19) have been pandemic both in Africa and the whole world. This work formulated and analyzed mathematical model of COVID-19 that monitors the temporal dynamics of the disease in the presence of ... -
EFFECT OF VACCINATION ON MATHEMATICAL MODELING OF COVID-19
(International Journal of Science Academic Research, 2023-02)Corona virus 2019 (Covid-19) have been endemic both in Africa and the whole world. In this paper we have formulated and analyze mathematical model of covid-19 that monitors the temporal dynamics of the disease in the ... -
Detecting Remote Access Network Attacks Using Supervised Machine Learning Method
(MECS Press, 2023)Remote access technologies encrypt data to enforce policies and ensure protection. Attackers leverage such techniques to launch carefully crafted evasion attacks introducing malware and other unwanted traffic to the ... -
Application of ARIMA, and hybrid ARIMA Models in predicting and forecasting tuberculosis incidences among children in Homa Bay and Turkana Counties, Kenya
(PLOS DIGITAL HEALTH, 2023-02)Tuberculosis (TB) infections among children (below 15 years) is a growing concern, particularly in resource-limited settings. However, the TB burden among children is relatively unknown in Kenya where two-thirds of ... -
MODELING THE EFFECTS OF CROP SPACING AND INORGANIC FERTILIZER ON THE POTATO TUBER YIELD AND SIZE USING FIRST ORDER TWO-LEVEL FACTORIAL DESIGN
(University of Eldoret, 2022-06)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, 2022-11)Tuberculosis (TB) among children under the age of 15 is a significant public health problem, particularly in resource-constrained settings and is among top ten most dangerous causes of death worldwide, and ranks among the ... -
Mathematical modeling of flow of fertilizer-water mixture through soil and its effect on concentration and plant growth
(International Journal of Statistics and Applied Mathematics, 2021)In this research we aim to demonstrate and explore how mathematical modeling can be used to aid people gain knowledge and understanding of plants and, in particular, interactions between plants, fertilizers, soil, and ... -
On Unitary Invariance of Some Classes of Operators in Hilbert Spaces
(Pure Mathematical Sciences, 2020)It is a known fact in operator theory that two similar operators have equal spectra but they do not necessarily have to belong to the same class of operators. However, under the stronger relation of unitary equivalence ... -
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 NON-LINEAR 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 non-linear 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 LOW-REYNOLDS 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 ... -
E-OPTIMAL DESIGNS FOR SECOND-DEGREE 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 ... -
Optimization of Split-Plot Design in the Context of Mixture Process Variable Settings
(Asian Journal of Probability and Statistics, 2021-04)In the presence of process variables, a mixture design has become well-known in statistical modeling due to its utility in modeling the blending surface, which empirically predicts any mixture's response and serves as the ... -
Exploration of D-, A-, I- and G- Optimality Criteria in Mixture Modeling
(Asian Journal of Probability and Statistics, 2021-05)A design optimality criterion, such as D-, A-, I-, and G- optimality criteria, is often used to analyze, evaluate and compare different designs options in mixture modeling test. A mixture test is an experiment where ... -
The effect of a difference in angle in two lateral inflow channels on the main channel's velocity
(International Journal of Statistics and Applied Mathematics, 2021-04)In this study, we examined the flow from two lateral inflow channels in a man-made open rectangular channel of an incompressible Newtonian fluid. The influences of the angles as it varies directly proportional to each ... -
Modeling Key Drivers of Under-Five Child Malnutrition in Marsabit County, Kenya: Application of the Logit Model
(Asian Journal of Probability and Statistics, 2021-04)Malnutrition remains one of the major problems in developing countries affecting both adults and children under 5 years. The use of binary logistic regression model was employed, and parameters of interest estimated. ...