Energy Efficiency Through Zero Energy House Construction Using Solar Technology in Bungoma County, Kenya
2025 KIBU Authors Peter N. Khakina VIEW ON PUBLISHER SITE Abstract A zero energy house is typically a house with net zero energy consumption on a yearly basis, which means that the annual energy consumption is equal to the amount of renewable energy produced on site. Bungoma County, Kenya has an average sunshine of about […]
Factors Contributing to Mismatch Between Professional Training and Actual Work Done Among College and University Graduates in Kenya
2025 KIBU Authors Peter N. Khakina VIEW ON PUBLISHER SITE Abstract Professional training in Kenya is conducted in colleges and universities. Despite unemployment being a significant challenge, there is also the issue of mismatch between professional training and what is currently being done among graduates. The aim of this study was to identify factors that […]
Trends of Sugarcane Farming in Nzoia Sugar Company: A Historical Analysis of Growth and Decline
2025 KIBU Authors Peter Nyongesa Khakina VIEW ON PUBLISHER SITE Abstract This study examines the historical trajectory of sugarcane farming at Nzoia Sugar Company (NSC) in Bungoma County, Kenya, from its establishment in 1975 to 2020. Using the Cumulative and Cyclical Interdependence Theory by Karl Gunnar Myrdal as a theoretical framework, the research traces how […]
Analysis of Glucose, Insulin, Epinephrine Dynamics Using Multidimensional Ostrowski-Type Inequality
2025 KIBU Authors Boniface O. Kwach VIEW ON PUBLISHER SITE Abstract This paper presents a comprehensive stability analysis of a three-dimensional dynamical system that models glucose–insulin interactions with epinephrine as a third regulatory variable. The system captures the dynamics of glucose concentration (g), insulin concentration (h), and epinephrine levels (e), incorporating the influence of external […]
Impact of Physical Exercises and Nutrition in Patients with Diabetes Mellitus: A Boolean Algebra and Stability Analysis Approach
2025 KIBU Authors Boniface O. Kwach VIEW ON PUBLISHER SITE Abstract Diabetes mellitus is a chronic condition with increasing global prevalence, requiring effective management strategies to prevent complications. Physical exercise and proper nutrition are well-established interventions to improve glycemic control. In this paper, we utilize Boolean algebra to model the combined effects of these interventions […]
A Novel Black-Scholes Framework: Mean Reverting European Logistic Option Pricing with Jump Diffusion and Transaction Costs
2025 KIBU Authors Mulambula Andanje VIEW ON PUBLISHER SITE Abstract Traditional Black-Scholes models assume frictionless markets with continuous price movements, limiting their applicability in emerging economies where transaction costs and sudden market shocks significantly influence asset pricing dynamics. These limitations became particularly evident during the COVID-19 pandemic when markets experienced unprecedented volatility and liquidity constraints. […]
Deriving the Black-Scholes Differential Equation Using Dividend Yielding Logistic Brownian Motion with Jump Diffusion Process
2025 KIBU Authors Andanje Mulambula VIEW ON PUBLISHER SITE Abstract This paper presents a novel approach to deriving the Black-Scholes differential equation by incorporating dividend yielding logistic Brownian motion with jump diffusion processes. Traditional Black-Scholes models assume constant volatility and neglect dividend payments and price discontinuities, which are prevalent in real financial markets. We extend […]
Conjugacy Classes of the Split Extension 28: U4(2)
2024 KIBU Authors Lucy Walingo Chikamai Vincent Nyongesa Marani VIEW ON PUBLISHER SITE Abstract This study presents a comprehensive analysis of the conjugacy classes of the split extension 28: U4(2), where U4(2) is the unitary group of degree 4 over the field with 2 elements. Using a combination of theoretical techniques, including Fischer-Clifford matrices and […]
Conjugacy Classes of the Maximal Subgroup 28: G2(2) in O+_10(2)
2024 KIBU Authors Lucy Walingo Chikamai Vincent Marani VIEW ON PUBLISHER SITE Abstract This study investigates the conjugacy class structure of the maximal subgroup 28: G2(2) within the orthogonal group O+_10(2). Using a combination of theoretical techniques from group extension theory and Clifford theory, along with computational methods implemented in GAP and Magma, we determine […]
Mathematical Properties and Characteristics of Pauli Unitary Operators in Quantum Information Theory
2024 KIBU Authors Vincent Marani VIEW ON PUBLISHER SITE Abstract This study investigates the mathematical properties and characteristics of Pauli unitary operators and their applications in quantum information theory. Pauli operators are fundamental objects in quantum mechanics that play a crucial role in describing and manipulating quantum states. Through a comprehensive analysis, we examine the […]