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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 ... -
MATHEMATICAL MODELLING OF FLOW OF FERTILIZER-WATER 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 ... -
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 ... -
MODELING KEY DRIVERS OF UNDER-FIVE 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 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. ... -
MODELING THE EFFECTIVENESS OF CONTROL MEASURES TOWARDS HIV/AIDS AND PNEUMONIA CO-INFECTION
(University of Eldoret, 2013)The lungs are a principal target of HIV-associated complications and persons with HIV-infection are at an increased risk for a wide spectrum of opportunistic Pneumonias. In this research an HIV/AIDS and Pneumonia co-infection ... -
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 ... -
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 SPLIT-PLOT DESIGN
(University of Eldoret, 2021)Use of mixture design has become well-known 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 ... -
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 ... -
Need to make people believe science-science is reliable and means truth
(Open Journal of Social Science,, 2019)Science is the engine that drives the wheel of development. Consequently, there is a need for people to have faith in science and believe its facts and truths. This paper has looked into ... -
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 ... -
ON ALMOST SIMILARITY AND SOME CLASSES OF OPERATORS IN HILBERT SPACES
(University of Eldoret, 2021)Similarity is a recent area of study on classes of operators in Hilbert spaces. The study of operators, under similarity and quasisimilarity concepts, motivated researchers to extend their research to almost similarity ... -
ON NUMERICAL RANGE OF SOME CLASSES OF OPERATORS IN HILBERT SPACES
(University of Eldoret, 2021)The numerical range of operators in Hilbert spaces has been researched by several authors. The properties of the numerical range play an important role in identifying the behaviour of operators in Hilbert spaces. It ... -
ON THE NORM OF AN ELEMENTARY OPERATOR OF FINITE LENGTH IN A 𝑪∗ALGEBRA
(Journal of Progressive Research in Mathematics(JPRM), 2018)Properties of elementary operators have been studied over the past years especially the norm aspect. Various results have been obtained on elementary operatorsof different lengths using different approaches. ... -
On the Norm of Basic Elementary Operator in a Tensor Product
(International Journal of Scientific and Innovative Mathematical Research., 2019)In this paper, we determine the norm of an elementary operator in a tensor product. More precisely, we investigate the bounds of the norm of a basic elementary operator in a tensor product. We employ the techniques of ... -
On the Norm of Elementary Operator
(Advances in Pure Mathematics, 2014)The norm of an elementary operator has been studied by many mathematicians. Varied results have been established especially on the lower bound of this norm. Here, we attempt the same problem for finite dimensional operators -
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 ... -
Optimal Kiefer Ordering of Simplex Designs for Third-Degree Mixture Kronecker-Models with three ingredients.
(Mathematical Theory and Modeling, 2019)This paper investigates the Kiefer optimality in the third-degree Kronecker model for mixture experiments. For mixture models on the simplex, a better design is obtained, by matrix majorization that yields a larger ... -
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 ... -
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 ...