Browsing School of Mathematics, Statistics and Actuarial Science by Title
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Absolutely Continuous Spectrum of fourth Order Di_erence Operators With unbounded Coe_cients on the Hilbert space `2(N)
(Maseno University, 2015)SturmLiouville operators and Jacobi matrices have so far been developed in parallel for many years. A result in one _eld usually leads to a result in the other. However not much in terms of spectral theory has been done ... 
The almost holomophic functional calculus
(Maseno University, 2008) 
The analysis of gamma strategies for a nonlinear blackscholes equation
(Maseno University, 2014)There has been a significant growth in research in the field of financial mathematics since the derivation of the standard BlackScholesMerton Partial Differential Equation by Black and Scholes, and Merton in 1973. The ... 
Analysis of Heat and Mass Transfer Effects on Steady Buoyancy Driven Magnetohydrodynamics Fluid Flow Past an Inclined Infinite Flat Plate
(Maseno University, 2018)The phenomenon of natural convection arises in fluids when temperature change causes density variation leading to buoyancy forces acting on the fluid particles. Natural convection flows are frequently encountered in ... 
Analytic Solution of a Nonlinear BlackScholes Partial Differential Equation
(Maseno University, 2011)The assumptions under which the standard BlackScholes equation has been derived are restrictive (e.g. liquid and frictionless markets). When illiquidity and market friction are introduced into the market, financial ... 
Automorphisms of the unit groups of square radical zero, cube radical zero and power four radical zero finite commutative completely primary rings
(Maseno University, 2016)The study of automorphisms of algebraic structures has contributed immensely to many important findings in mathematics. For example, Galois characterized the general degree five single variable polynomials over , by ... 
Certain properties of essential Numerical ranges of bounded Operators on banach spaces
(Maseno University, 2018)Abstract The numerical range of an operator on a Hilbert space has been extensively researched on. The concept of numerical range of an operator goes back as early as 1918 when Toeplitz defined it as the field of values ... 
Characterization Of Scalar Type Operators
(Maseno University, 2017)A closed densely defined operator H, on a Banach space X, whose spectrum is contained in JR and satisfies the growth condition II (ZH)l II:::; CII~~:l Vz E iJR for some a ~ 0 and C > 0 is of (00,00+1) type R In studying ... 
Computation of efficient nash equilibria for experimental economic games
(Maseno University, 2014)Game theory has been used to study a wide variety of human and animal behaviors. It looks for states of equilibrium, sometimes called solutions. Nash equilibrium is the central solution concept with diverse applications ... 
Construction of Zero Inflated Poisson Mixture Distributions and Application to Fertility Data
(Maseno University, 2018)In applications involving count data, it is common to encounter the frequency of observed zeros significantly higher than predicted by the model based on the standard parametric family of discrete distributions. In such ... 
The Derivation of a Logistic Nonlinear Black Scholes Merton Partial Differential Equation: European Option
(Maseno University, 2011)\onlinear BlackScholes equations have been increasingly attracting interest over the last twenty years. This is because they provide more accurate values by taking into account more realistic assumptions, such as ... 
Design and Analysis of End Points in Clinical Trials for Visceral Leishmaniasis
(Maseno University, 2015)Visceral Leishmaniasis (VL) is a vectorborne parasitic disease characterized by fever, substantial weight loss, swelling of the spleen and liver, and anaemia. Clinical trials in VL generally take long to conclude due to ... 
Determinants of mortality and survival time among HIV infected patients on antiretroviral therapy in Machakos county, Kenya
(Maseno University, 2019)ABSTRACT Human Immunodeficiency Virus (HIV) remains one of the world's most significant public health concerns. Antiretroviral treatment (ART) is meant to suppress replication of the virus, consequently improving health ... 
Health risk of toxic Cyanobacteria in drinking water in the Nyanza gulf water, Lake Victoria Kenya
(Maseno University, 2018)Cyanobacteria are singlecelled algae that thrive in warm and nutrient rich water bodies including lakes. They can produce different kinds of toxins called cyanotoxins. Microcystin is the most common and most studied ... 
Lie symmetry solutions of the Generalized burgers equation
(Maseno University, 2005)Burgers equation: u, + UUx = luxx is a nonlinear partial differential equation which arises in model studies of turbulence and shock wave theory. In physical application of shock waves in fluids, coefficient 1 ,has the ... 
A mathematical model for the optimal control Of trypanosomiasis in a cattle population
(Maseno University, 2015)Trypanosomiasis is a debilitating disease which is a major constraint to livestock production in subSaharan Africa. It leads to loss of productivity in animals and without treatment it is frequently fatal. The economic ... 
Mathematical model incorporating screening of Immigrants as a control against the spread of Ebola
(Maseno University, 2017) 
Mathematical modeling of HIV/aids coinfection With tuberculosis and pneumonia incorporating protection
(Maseno University, 2016)The synergistic relationship between HIV/AIDS and respiratory infections, such as tu berculosis(TB) and pneumonia not only results in high mortality rates but is also a source of economic burden borne by many nations ... 
Mathematical Modeling of Pesticide Adsorption In A Porous Medium; ConvectionDispersion Transport with Steady State Water Flow in Three Dimensions
(Maseno University, 2019)ABSTRACT The transport of solutes through porous media where chemicals undergo adsorption or change process on the surface of the porous materials has been a subject of research over years. Usage of pesticides has ... 
Mathematical Models for Malaria CoInfections With Persistent Pediatric Infections in Kenya
(Maseno University, 2013)Despite many years of study and advanced biological, medical and mathematical understanding of diseases together with commitment to child survival, malaria and persistent infectious diseases of childhood continue to ...