MSTDepartment of Mathematics
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A Jump Diffusion Model with Fast Mean Reverting Stochastic Volatility for Pricing Vulnerable Options
(Kenyatta University, 202310)The BlackScholesMerton option pricing model is a classical approach that assumes the underlying asset prices follow a normal distribution with constant volatility. However, this assumption is often violated in realworld ... 
Enumeration of Sigma Algebras on Sets with at Most Seven Elements
(Kenyatta University, 202304) 
Magnetohydrodynamic Nanofluid Flow over Convectively Heated Porous Radially Stretching Sheet
(Kenyatta University, 202311)Any material containing pores is termed a Porous media. Extensive research has been conducted on MHD nanofluid flow through porous materials. Included in these experiments are parallelrotating plates surrounded by a ... 
Sequential Change Point Estimation Using Empirical Likelihood for Time Series Data
(Kenyatta University, 202309)Sequential Change point detection has enhanced the reliance on analysis of live data as it streams into the system to support realtime decisionmaking processes. This has played a key role in the advancement of time ... 
Effects of Induced Magnetic Field, Hall Current and Radiative Heat on 3D Unsteady Hydromagnetic Stagnation Flow of a Casson Fluid
(Kenyatta University, 2023)In this study, 3D stagnation flow of an MHD viscous electrically conducting Casson fluid including effects of induced magnetic field, Hall current and radiative heat is analyzed. The unsteady state model governing the ... 
An Investigation of 3d Heat and Mass Transfer in Magnetohydrodynamics Laminar Flow about An Inclined SemiInfinite Porous Plate
(Kenyatta University, 2022)Investigation of transmission of mass and heat in magnetohydrodynamics (MHD) flow over a plate inclined at an angle past semiinfinite porous plate is carried out in this study. MHD flow model is formulated by combining ... 
Numerical Simulation of Natural Turbulent Convection with Vorticity Vector Formulation
(Kenyatta University, 2023)Turbulent natural convection in an enclosure plays a big part in heat transmission and the building environment. Sophisticated buildings around the world are outfitted with costly heaters and coolers to maintain comfortable ... 
Mathematical Model for Coinfection of Hiv/Aids and Kaposi’s Sarcoma with Treatment
(Kenyatta university, 2023)HIV destroys Tcells in order to target the body's defence mechanism. Without treatment HIV infection advances in stages causing destruction and reduction in Tcells thus, rendering the body incapable of fighting other ... 
Maximum Likelihood Estimation of Parameters for Kumaraswamy Distribution Based on Progressive Type Ii Hybrid Censoring Scheme
(Kenyatta university, 2023)The project considers the maximum likelihood estimators for Kumaraswamy distribution based on progressive type II hybrid censoring scheme using the expectation maximization algorithm. A two parameter Kumaraswamy distribution ... 
Maximum Likelihood Estimation of Parameters for Kumaraswamy Distribution Based on Progressive Type Ii Hybrid Censoring Scheme
(Kenyatta University, 2023)The project considers the MLEs for Kumaraswamy distribution centered on PTHCS using the expectation maximization algorithm. A two parameter Kumaraswamy distribution can be applied in natural phenomena that have outcomes ... 
Analysis of Magnetohydrodynamic Heat and Mass Transfer with Carbon NanotubesGraphene Casson Hybrid Nanofluid
(Kenyatta University, 2022)Fluids such as liquids and gases are amassed into either Newtonian or nonNewtonian groups. Most fluids fall under the nonNewtonian category and, as a result, various models like Casson fluid and Williamson fluid model ... 
Analysis of Vertical Transmission Dynamics of Infectious Hepatitis B Virus: Mathematical Model Involving Vaccination And Treatment in Turkana County, Kenya
(Kenyatta University, 2022)Hepatitis B has been a major global health menace for it is a potentially lifethreatening liver disease. Close to 0.25 billion persons are living with this infectious disease across the world. It’s transmitted by infected ... 
Effects of Variable Pressure Gradient on Magnetohydrodynamic flow Between Parallel Plates Considering Variable Transverse Magnetic Fields
(Kenyatta University, 2022)Analysis of the effects of applying a variable pressure gradient to a magnetohydrodynamic fluid flowing between two parallel plates under the influence of variable transverse magnetic fields was investigated. The study ... 
Cycle Indices of Cyclic and Dihedral Groups Acting on Diagonals of a Regular NGon and RElement Subsets of the Set X = * +.
(Kenyatta University, 2022)Polya (1937) used the cycle index in counting configurations. Several authors have computed cycle index formula of several group actions which have been used globally in chemistry and mathematics, in counting of chemical ... 
Coriolis Effects on Air, Nanofluid and Casson Fluid Flow Over a Surface with Nonuniform Thickness
(Kenyatta University, 2022)The trajectories of moving objects in a rotating frame is usually deflected by Coriolis force and this leads to many of the natural phenomena on Earth. Some of the natural outcomes of Coriolis effect include the tropical ...

A Jump Diffusion Model with Fast Mean Reverting Stochastic Volatility for Pricing Vulnerable Options
(Kenyatta University, 202310)The BlackScholesMerton option pricing model is a classical approach that assumes the underlying asset prices follow a normal distribution with constant volatility. However, this assumption is often violated in realworld ... 
Enumeration of Sigma Algebras on Sets with at Most Seven Elements
(Kenyatta University, 202304) 
Magnetohydrodynamic Nanofluid Flow over Convectively Heated Porous Radially Stretching Sheet
(Kenyatta University, 202311)Any material containing pores is termed a Porous media. Extensive research has been conducted on MHD nanofluid flow through porous materials. Included in these experiments are parallelrotating plates surrounded by a ... 
Sequential Change Point Estimation Using Empirical Likelihood for Time Series Data
(Kenyatta University, 202309)Sequential Change point detection has enhanced the reliance on analysis of live data as it streams into the system to support realtime decisionmaking processes. This has played a key role in the advancement of time ... 
Effects of Induced Magnetic Field, Hall Current and Radiative Heat on 3D Unsteady Hydromagnetic Stagnation Flow of a Casson Fluid
(Kenyatta University, 2023)In this study, 3D stagnation flow of an MHD viscous electrically conducting Casson fluid including effects of induced magnetic field, Hall current and radiative heat is analyzed. The unsteady state model governing the ... 
An Investigation of 3d Heat and Mass Transfer in Magnetohydrodynamics Laminar Flow about An Inclined SemiInfinite Porous Plate
(Kenyatta University, 2022)Investigation of transmission of mass and heat in magnetohydrodynamics (MHD) flow over a plate inclined at an angle past semiinfinite porous plate is carried out in this study. MHD flow model is formulated by combining ... 
Numerical Simulation of Natural Turbulent Convection with Vorticity Vector Formulation
(Kenyatta University, 2023)Turbulent natural convection in an enclosure plays a big part in heat transmission and the building environment. Sophisticated buildings around the world are outfitted with costly heaters and coolers to maintain comfortable ... 
Mathematical Model for Coinfection of Hiv/Aids and Kaposi’s Sarcoma with Treatment
(Kenyatta university, 2023)HIV destroys Tcells in order to target the body's defence mechanism. Without treatment HIV infection advances in stages causing destruction and reduction in Tcells thus, rendering the body incapable of fighting other ... 
Maximum Likelihood Estimation of Parameters for Kumaraswamy Distribution Based on Progressive Type Ii Hybrid Censoring Scheme
(Kenyatta university, 2023)The project considers the maximum likelihood estimators for Kumaraswamy distribution based on progressive type II hybrid censoring scheme using the expectation maximization algorithm. A two parameter Kumaraswamy distribution ... 
Maximum Likelihood Estimation of Parameters for Kumaraswamy Distribution Based on Progressive Type Ii Hybrid Censoring Scheme
(Kenyatta University, 2023)The project considers the MLEs for Kumaraswamy distribution centered on PTHCS using the expectation maximization algorithm. A two parameter Kumaraswamy distribution can be applied in natural phenomena that have outcomes ... 
Analysis of Magnetohydrodynamic Heat and Mass Transfer with Carbon NanotubesGraphene Casson Hybrid Nanofluid
(Kenyatta University, 2022)Fluids such as liquids and gases are amassed into either Newtonian or nonNewtonian groups. Most fluids fall under the nonNewtonian category and, as a result, various models like Casson fluid and Williamson fluid model ... 
Analysis of Vertical Transmission Dynamics of Infectious Hepatitis B Virus: Mathematical Model Involving Vaccination And Treatment in Turkana County, Kenya
(Kenyatta University, 2022)Hepatitis B has been a major global health menace for it is a potentially lifethreatening liver disease. Close to 0.25 billion persons are living with this infectious disease across the world. It’s transmitted by infected ... 
Effects of Variable Pressure Gradient on Magnetohydrodynamic flow Between Parallel Plates Considering Variable Transverse Magnetic Fields
(Kenyatta University, 2022)Analysis of the effects of applying a variable pressure gradient to a magnetohydrodynamic fluid flowing between two parallel plates under the influence of variable transverse magnetic fields was investigated. The study ... 
Cycle Indices of Cyclic and Dihedral Groups Acting on Diagonals of a Regular NGon and RElement Subsets of the Set X = * +.
(Kenyatta University, 2022)Polya (1937) used the cycle index in counting configurations. Several authors have computed cycle index formula of several group actions which have been used globally in chemistry and mathematics, in counting of chemical ... 
Coriolis Effects on Air, Nanofluid and Casson Fluid Flow Over a Surface with Nonuniform Thickness
(Kenyatta University, 2022)The trajectories of moving objects in a rotating frame is usually deflected by Coriolis force and this leads to many of the natural phenomena on Earth. Some of the natural outcomes of Coriolis effect include the tropical ... 
Numerical Investigation of Natural Turbulence Convection in a Three Dimensional Enclosed Chamber by Use of K Ω Model and the Simplec Method
(Kenyatta University, 2022)Turbulent flows are highly unsteady (random), chaotic and three dimensional in motion. Turbulent flows have high Reynolds number, nonzero vorticity. Turbulent flows are diffusive and dissipate energy naturally. The aim ... 
Investigating Hydromagnetic Casson Fluid Flow over a Shrinking Sheet
(Kenyatta University, 2022)Casson fluid has vast applications in numerous fields such as in processing of foods, drilling operations, the field of metallurgy and many more. This study investigates the flow of Casson fluid over a shrinking surface ... 
Analysis of Magnetohydrodynamic Convective Heat Transfer of Casson Nanofluid Flow Over a Heated Stretching Vertical Plate
(Kenyatta University, 2022)Casson fluid has many industrial and engineering applications. However, Casson nanofluid possesses superior electrical and thermal conductivities compared with the original Casson fluid. Hence, the Casson nanofluid is ... 
Modeling Natural Convection in a Rectangular Enclosure with Heating and Cooling
(Kenyatta University, 2021)Mostflows encountered in day to day life, in engineering practice and in nature are turbulent. One of the major modes of fluid flow in an enclosure is natural convection which is also the main mode of heat transfer. This ... 
Ranks, Subdegrees, Suborbital Graphs and Cycle Indices Associated with the Product Action of Affine Groups
(Kenyatta University, 2021)Many scholars have studied the ranks, subdegrees, cycle index and graphs of the action of the groups Cn,Dn and Aff(q) on a set X, where X = {1, 2, . . . , n} leaving out product actions. Recently, Kangogo (2015) studied ...