RPDepartment of Mathematics
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Towards Understanding Crime Dynamics in a Heterogeneous Environment: A Mathematical Approach
(Taylor & Francis, 2021)Crime data provides information on the nature and location of the crime but, in general, does not include information on the number of criminals operating in a region. By contrast, many approaches to crime reduction ... 
Modeling of Natural Turbulent Convection in an Enclosure with Localized Heating
(International Peer Reviewed Journals and Books Publishing, 2019)Purpose: The purpose of the study was to model natural turbulent convection in an enclosure with localized heating. Methodology: The study considered the equations governing a free convection. Precisely, the equations ... 
Mathematical Description of a Bounded Oil Reservoir with A Horizontal Well: Late Time Flow Period
(African Journal of Pure & Applied science (AJPAS), 2021)When horizontal wells are compared with verticals wells, their production is always higher. If their performance can be improved, they can even be more productive. Considering a horizontal well in a completely bounded oil ... 
Mathematical Description of a Bounded Oil Reservoir with a Horizontal Well: Early Time Flow Period
(African Journal of Pure & Applied science (AJPAS), 2021)Horizontal wells are more productive compared to vertical wells if their performance is optimized. For a completely bounded oil reservoir, immediately the well is put into production, the boundaries of the oil reservoir ... 
Numerical Analysis of Heat Transfer of Eyring Powell Fluid Using Double Stratification of MagnetoHydrodynamic Boundary Layer Flow
(Asian Research Journal of Mathematics, 2020)Heat transfer fluids play a vital role in many engineering and industrial sectors such as power generation, chemical production, airconditioning, transportation and microelectronics. Aim: To numerically investigate the ... 
Effects of Fluid and Reservoir Characteristics on Dimensionless Pressure and Derivative of a Horizontal Well in a Bounded Oil Reservoir with Simultaneous Single Edge and Bottom Water Drive
(The International Organization of Scientific Research, 2020)This study investigates the effects of fluid, wellbore and reservoir characteristics on dimensionless pressure and dimensionless pressure derivatives at late time flow of a horizontal well in a bounded oil reservoir ... 
Mathematical Model on the Impact of Protection against Tungiasis Transmission Dynamics
(Journal of Mathematics and Computer Science (JMCS), 2020)In this study, a mathematical model based on a system of ordinary differential equations is formulated to describe the dynamics of tungiasis infection incorporating protection as a control strategy against infection. The ... 
Mathematical Modelling of Variable Viscosity Hydromagnetic Boundary Layer Flow with Thermal Radiation and Newtonian Heating
(International Journal of Advances in Scientific Research and Engineering (ijasre), 2020)Magnetohydrodynamic (MHD) boundary layer flow for a variable viscosity fluid subject to thermal radiation and Newtonian heating has numerous applications in industry and engineering such as designing of cooling systems ... 
A Review of Nanofluids Synthesis, Factors Influencing Their Thermophysical Properties and Applications
(Journal of Engineering Research and Reports, 2020)Heatgenerating equipment (such as transformers, computer microchips, car engines, nuclear reactors, etc.) requires an efficient cooling mechanism to safeguard them from thermal degradation and to enhance their ... 
Investigating the Effectiveness of a Math Practice Paper in Teaching and Learning of Mathematics
(International Journal of Scientific and Research Publications, 2020)Mathematics is the backbone of modern science, majorly used to solve world problems. Mathematical proficiency is thus very crucial. A math practice paper (MPP) can become a powerful tool for polishing student’s mathematical ... 
A Mathematical Modeling of Tuberculosis Dynamics with Hygiene Consciousness as a Control Strategy
(Journal of Advances in Mathematics and Computer Science, 2020)Tuberculosis, an airborne infectious disease, remains a major threat to public health in Kenya. In this study, we derived a system of nonlinear ordinary differential equations from the SLICR mathematical model of TB to ... 
Analysis of the Dynamics of SISISEIR Avian In uenza A(H7N9) Epidemic Model with Reinfection
(Earthline Journal of Mathematical Sciences, 2020)The spread of Avian in uenza in Asia, Europe and Africa ever since its emergence in 2003, has been endemic in many countries. In this study, a nonlinear SISISEIR Mathematical model with reinfection as a result of ... 
LHAM Approach to Fractional Order RosenauHyman and Burgers' Equations
(Asian Research Journal of Mathematics, 2020)Fractional calculus has been found to be a great asset in nding fractional dimension in chaos theory, in viscoelasticity di usion, in random optimal search etc. Various techniques have been proposed to solve di erential ... 
Maximum Likelihood Estimation of Parameters for Poissonexponential Distribution Under Progressive Type I Interval Censoring
(Science Publishing Group, 2020)This paper considers the problem of estimating the parameters of PoissonExponential (PE) distribution under progressive typeI interval censoring scheme. PE is a twoparameter lifetime distribution having an increasing ... 
Mathematical Modeling of the Dynamics of Infectious Diseases with Relapse
(International Knowledge Press., 2020)In this paper, we have formulated a mathematical model based on a series of ordinary dierential equations to study the transmission dynamics of infectious diseases that exhibit relapse. The basic reproduction number of the ...

Towards Understanding Crime Dynamics in a Heterogeneous Environment: A Mathematical Approach
(Taylor & Francis, 2021)Crime data provides information on the nature and location of the crime but, in general, does not include information on the number of criminals operating in a region. By contrast, many approaches to crime reduction ... 
Modeling of Natural Turbulent Convection in an Enclosure with Localized Heating
(International Peer Reviewed Journals and Books Publishing, 2019)Purpose: The purpose of the study was to model natural turbulent convection in an enclosure with localized heating. Methodology: The study considered the equations governing a free convection. Precisely, the equations ... 
Mathematical Description of a Bounded Oil Reservoir with A Horizontal Well: Late Time Flow Period
(African Journal of Pure & Applied science (AJPAS), 2021)When horizontal wells are compared with verticals wells, their production is always higher. If their performance can be improved, they can even be more productive. Considering a horizontal well in a completely bounded oil ... 
Mathematical Description of a Bounded Oil Reservoir with a Horizontal Well: Early Time Flow Period
(African Journal of Pure & Applied science (AJPAS), 2021)Horizontal wells are more productive compared to vertical wells if their performance is optimized. For a completely bounded oil reservoir, immediately the well is put into production, the boundaries of the oil reservoir ... 
Numerical Analysis of Heat Transfer of Eyring Powell Fluid Using Double Stratification of MagnetoHydrodynamic Boundary Layer Flow
(Asian Research Journal of Mathematics, 2020)Heat transfer fluids play a vital role in many engineering and industrial sectors such as power generation, chemical production, airconditioning, transportation and microelectronics. Aim: To numerically investigate the ... 
Effects of Fluid and Reservoir Characteristics on Dimensionless Pressure and Derivative of a Horizontal Well in a Bounded Oil Reservoir with Simultaneous Single Edge and Bottom Water Drive
(The International Organization of Scientific Research, 2020)This study investigates the effects of fluid, wellbore and reservoir characteristics on dimensionless pressure and dimensionless pressure derivatives at late time flow of a horizontal well in a bounded oil reservoir ... 
Mathematical Model on the Impact of Protection against Tungiasis Transmission Dynamics
(Journal of Mathematics and Computer Science (JMCS), 2020)In this study, a mathematical model based on a system of ordinary differential equations is formulated to describe the dynamics of tungiasis infection incorporating protection as a control strategy against infection. The ... 
Mathematical Modelling of Variable Viscosity Hydromagnetic Boundary Layer Flow with Thermal Radiation and Newtonian Heating
(International Journal of Advances in Scientific Research and Engineering (ijasre), 2020)Magnetohydrodynamic (MHD) boundary layer flow for a variable viscosity fluid subject to thermal radiation and Newtonian heating has numerous applications in industry and engineering such as designing of cooling systems ... 
A Review of Nanofluids Synthesis, Factors Influencing Their Thermophysical Properties and Applications
(Journal of Engineering Research and Reports, 2020)Heatgenerating equipment (such as transformers, computer microchips, car engines, nuclear reactors, etc.) requires an efficient cooling mechanism to safeguard them from thermal degradation and to enhance their ... 
Investigating the Effectiveness of a Math Practice Paper in Teaching and Learning of Mathematics
(International Journal of Scientific and Research Publications, 2020)Mathematics is the backbone of modern science, majorly used to solve world problems. Mathematical proficiency is thus very crucial. A math practice paper (MPP) can become a powerful tool for polishing student’s mathematical ... 
A Mathematical Modeling of Tuberculosis Dynamics with Hygiene Consciousness as a Control Strategy
(Journal of Advances in Mathematics and Computer Science, 2020)Tuberculosis, an airborne infectious disease, remains a major threat to public health in Kenya. In this study, we derived a system of nonlinear ordinary differential equations from the SLICR mathematical model of TB to ... 
Analysis of the Dynamics of SISISEIR Avian In uenza A(H7N9) Epidemic Model with Reinfection
(Earthline Journal of Mathematical Sciences, 2020)The spread of Avian in uenza in Asia, Europe and Africa ever since its emergence in 2003, has been endemic in many countries. In this study, a nonlinear SISISEIR Mathematical model with reinfection as a result of ... 
LHAM Approach to Fractional Order RosenauHyman and Burgers' Equations
(Asian Research Journal of Mathematics, 2020)Fractional calculus has been found to be a great asset in nding fractional dimension in chaos theory, in viscoelasticity di usion, in random optimal search etc. Various techniques have been proposed to solve di erential ... 
Maximum Likelihood Estimation of Parameters for Poissonexponential Distribution Under Progressive Type I Interval Censoring
(Science Publishing Group, 2020)This paper considers the problem of estimating the parameters of PoissonExponential (PE) distribution under progressive typeI interval censoring scheme. PE is a twoparameter lifetime distribution having an increasing ... 
Mathematical Modeling of the Dynamics of Infectious Diseases with Relapse
(International Knowledge Press., 2020)In this paper, we have formulated a mathematical model based on a series of ordinary dierential equations to study the transmission dynamics of infectious diseases that exhibit relapse. The basic reproduction number of the ... 
BuoyancyInduced MHD Stagnation Point Flow of Williamson Fluid with Thermal Radiation
(Journal of Engineering Research and Reports., 2020)Flow of fluids subjected to thermal radiation has enormous application in polymer processing, glass blowing, cooling of nuclear reactant and harvesting solar energy. This paper considers the MHD stagnation point flow of ... 
A Mathematical Model of Rabies Transmission Dynamics in Dogs Incorporating Public Health Education as a Control Strategy A Case Study of Makueni County
(Sciencedomain International, 2020)Rabies is a zoonotic viral disease that affects all mammals including human beings. Dogs are responsible for 99% of human rabies cases and the disease is always fatal once the symptoms appear. In Kenya the disease is ... 
Car Antifreeze and Coolant: Comparing Water and Ethylene Glycol as Nano Fluid Base Fluid
(Sretech Journal of publication, 2018)Most internal combustion engines are fluid cooled using liquid coolants mostly water and ethylene glycol, whose heat transfer capabilities are limited. An alternative for improving their thermophysical properties is the ... 
RatioCumProduct Estimator using Multiple Auxiliary Attributes in Single Phase Sampling
(Scientific Research Publishing, 201406)In this paper, we have proposed a class of ratiocumproduct estimator for estimating population mean of study variable for single phase sampling using multiauxiliary attributes. The expressions for mean square error ... 
Hydromagnetic Mixed Convection Flow of Nanofluid with Slip, Viscous Dissipation and Joule Heating Past an Inclined Plate
(American Scientific Publishers, 2017)A numerical analysis is performed on the combined effects of Joule heating and viscous dissipation on a steady twodimensional flow of an electrically conducting waterbased nanofluid containing three different nanoparticles: ...