Department of Mathematics and Computer Science

Traffic Flow Modelling Around Roundabouts Using Navier–Stokes and Advection–Diffusion Equations

Krifix, Momanyi Mogire; Maremwa, Shichikha; Kandie, Joseph; Ngetich, Lucy Jerop (International Journal of Recent Research in Mathematics Computer Science and Information Technology, 2025)

Urban roundabouts are safer than signalised junctions yet remain prone to congestion under unbalanced demand and operational incidents. Existing microscopic and macroscopic approaches rarely capture, within a single framework, ...

Mathematical Modelling of Traffic Flow Dynamics Around Roundabouts Using Navier– Stokes and Advection–Diffusion Equations

Krifix, Momanyi Mogire; Maremwa, Shichikha; Kandie, Joseph; Ngetich, Lucy Jerop (International Journal of Recent research in interdisciplinary sciences, 2025)

Traffic congestion is a persistent challenge in urban transport systems, particularly around roundabouts where nonlinear merging and circulating flows create instability and delays. Traditional microscopic, mesoscopic, and ...

A Novel Poiseuille-Based Mathematical Model for Carotid Artery Blood Flow: Modelling Geometry Interruptions and Vascular Stress during Accidents

Ngetich, Lucy Jerop; Maremwa, Shichikha; Kandie, Joseph; Krifix, Momanyi Mogire (International Journal of Recent Research in Mathematics Computer Science and Information Technology, 2025)

Carotid artery injuries during accidents are a significant contributor to trauma-related morbidity and mortality, necessitating accurate models for predicting vascular stress and flow disruption. Existing approaches either ...

A Novel Poiseuille Equation Framework for Pulsatile Flow Dynamics in Accident-Induced Carotid Artery Constrictions

Ngetich, Lucy Jerop; Maremwa, Shichikha; Kandie, Joseph; Krifix, Momanyi Mogire (International Journal of Scientific Engineering and Science, 2025)

Stroke and carotid artery injury remain significant contributors to global morbidity, with accident-induced disruptions in blood flow presenting acute clinical risks. Existing modelling approaches are either overly ...

Novel Mathematical Modelling of Pulsatile Blood Flow in Carotid Arteries via Poiseuille Equation

Ngetich, Lucy Jerop; Maremwa, Shichikha; Kandie, Joseph; Krifix, Momanyi Mogire (International Journal of Recent Research in Mathematics Computer Science and Information Technology, 2025)

Cardiovascular diseases remain the leading global cause of death, with carotid artery dysfunction contributing significantly to ischemic stroke and long-term disability. The problem addressed in this study is the limited ...

VECTOR AUTOREGRESSION MODELING OF MALARIA INCIDENCE AND MORTALITY RATES IN MIGORI COUNTY, KENYA: A TIME SERIES ANALYSIS INCORPORATING EXOGENOUS INFLUENCES

Chacha, Paul Jackson; Otieno, Argwings; Koech, Julius (2025)

Malaria remains hyperendemic in Kenya’s Lake Victoria basin despite scalable interventions. It is a pressing public health challenge in Migori county that reported a 27% mortality rate in 2020 in children aged 6-59 ...

ON THE NORM OF JORDAN ELEMENTARY OPERATOR IN TENSOR PRODUCT OF C*-ALGEBRAS

Muiruri, Peter Guchu; King'ang'i, Denis Njue; Musundi, Sammy Wabomba (Int. J. Mathematics, 2024)

The norm property of different types of Elementary operators has attracted a lot of researchers due to its wide range applications in functional analysis. From available literature the norm of Jordan elementary operator ...

On The Norm of Finite Length Elementary Operator in Tensor Product of C*-Algebras

Muiruri, Peter Guchu; King’ang’i, Denis Njue; Wabomba, Sammy Musundi (International Journal of Mathematics and Computer Research, 2024)

Many properties of Elementary operators, including spectrum, numerical ranges, compactness, rank, and norm have been studied in depth and some results have been obtained. However, little has been done in determining the ...

On unitary equivalence and almost similarity of some classes of operators in Hilbert spaces

Kiprop, Sammy Karani; King’ang’i, Denis Njue; Khalagai, Jairus Mutekhele (International Journal of Statistics and Applied Mathematics, 2020)

In operator theory, it is a well-known fact that two similar operators have equal spectra even if they do not belong to the same class of operators. However, under a stronger relation of unitary equivalence it can be ...

On Norm of Elementary Operator: An Application of Stampfli’s Maximal Numerical Range

Kingangi, Denis Njue (Pure and Applied Mathematics Journal, 2018)

Many researchers in operator theory have attempted to determine the relationship between the norm of an elementary operator of finite length and the norms of its coefficient operators. Various results have been obtained ...

Modeling Physical Inactivity among University of Eldoret Staff in Kenya using a Logit Model.

Kavila, Willie Mercy; Koech, Julius; Kimeli, Victor (African Journal of Education Science and Technology (AJEST), 2024)

Physical inactivity (PI) is a significant contributor to non-communicable diseases globally. This study focused on assessing the prevalence of PI among staff at the University of Eldoret and exploring the factors that ...

Modeling the Risk Factors of Miscarriage using Advanced Survival Analysis Techniques: Cure Model

Chibayi a, John Olives (Asian Journal of Probability and Statistics, 2024)

Background: A miscarriage is an abrupt and distressing occurrence that might have adverse consequences for the individual experiencing it. However the risk factors that lead normal pregnancy to a miscarriage are fairly well ...

Modeling the Risk Factors of Miscarriage Using Survival Analysis Techniques

Chibayi, John Olives; Ranyimbo, Argwings Otieno; Akang’o, Ayub Anapapa (Asian Journal of Probability and Statistics, 2024)

Background: Miscarriage, also known as spontaneous abortion, is a significant adverse outcome of pregnancy. The risk factors associated with the transition from a normal pregnancy to a complete miscarriage before 28 weeks ...

University Students’ Health: Case of Chronic Diseases

Mwangi, Wangui Patrick; Anapapa, Ayubu; Koech, Julius (South Asian Journal of Social Studies and Economics, 2022)

The percentage of university students currently nursing chronic infections/diseases is alarming, and for a long time, these students are ever thought to be healthy. However, research shows otherwise and management of ...

Chronic Infections among University Students: A Review

Wangui, Patrick Mwangi; et. al... (South Asian Journal of Social Studies and Economics, 2022)

The percentage of university students currently nursing chronic infections/diseases is alarming, and for a long time, these students are ever thought to be healthy. However, research shows otherwise and management of ...

Modeling the Effects of Social Factors on Population Dynamics Using Age-Structured System

Kemei, Zachary; Rotich, Titus; Bitok, Jacob (American Journal of Applied Mathematics, 2024)

In this paper, an age-structured model was used to model population dynamics, and make predictions through simulation using 2019 Kenya population data. The age-structured mathematical model was developed, using partial ...

APPLICATION OF MIXTURE EXPERIMENT IN THE OPTIMIZATION OF CABBAGE (BRASSICA OLERACEA L.) YIELD USING SELECTED ORGANIC MANURE.

CHIRCHIR, EMMANUEL K. (University of Eldoret, 2024)

Several products in practice are usually a combination of two or more ingredients put together. The rationale for conducting this research was to determine the optimum yield of Cabbage (Brassica oleracea L.) as affected ...