Mark Kimathi
YOU?
Author Swipe
View article: Modeling Pulmonary Tuberculosis-Pneumonia Co-dynamics Incorporating Drug Resistance with Optimal Control
Modeling Pulmonary Tuberculosis-Pneumonia Co-dynamics Incorporating Drug Resistance with Optimal Control Open
In this paper, a deterministic mathematical model illustrating the transmission dynamics of pulmonary tuberculosis and pneumonia co-infection is formulated, incorporating a drug-resistant strain. The model employs a Holling-type functional…
View article: Pulmonary Tuberculosis and Pneumonia Co-Dynamics: A Mathematical Modelling Approach
Pulmonary Tuberculosis and Pneumonia Co-Dynamics: A Mathematical Modelling Approach Open
This study presents a novel mathematical model that captures the co-dynamics of pulmonary tuberculosis in the presence of opportunistic pneumonia. The model integrates opportunistic pneumonia into the classical pulmonary tuberculosis trans…
View article: Impact of Defaulter Tracing Strategies on HIV/AIDS Dynamics: A Numerical Simulation Study
Impact of Defaulter Tracing Strategies on HIV/AIDS Dynamics: A Numerical Simulation Study Open
Antiretroviral therapy (ART) adherence is crucial for HIV/AIDS control, yet patient default remains a significant challenge. Defaulter tracing aims to re-engage patients lost to follow-up, but its quantitative impact under varying conditio…
View article: Mathematical Analysis of an HIV/AIDS Epidemic Model with Defaulter Tracing Dynamics
Mathematical Analysis of an HIV/AIDS Epidemic Model with Defaulter Tracing Dynamics Open
The persistence of the HIV/AIDS epidemic is significantly challenged by difficulties in maintaining long-term adherence to antiretroviral therapy (ART), leading to treatment defaults hence hindering disease control. Defaulter tracing is a …
View article: Economic Implications of Aging Population on Labour Market in Kenya
Economic Implications of Aging Population on Labour Market in Kenya Open
Purpose: The study sought to establish and analyze the effect of aging populations on labour market in Kenya. The study employed life cycle theory to explains fluctuations in aggregate savings and investment rates, which are crucial for un…
View article: Mitigating HIV risk associated with widow cleansing and wife inheritance using combined biomedical and structural interventions in western Kenya: a mathematical modeling study
Mitigating HIV risk associated with widow cleansing and wife inheritance using combined biomedical and structural interventions in western Kenya: a mathematical modeling study Open
Background In parts of Africa, women who become widowed lose housing, bank accounts, and other property and must re-marry to avoid extreme poverty. To re-marry, some women are required to undergo widow “cleansing”—condomless sex with a man…
View article: Integrating Stochastic Properties into Traffic Flow Modeling: A Stimulus-Response Approach
Integrating Stochastic Properties into Traffic Flow Modeling: A Stimulus-Response Approach Open
Highway traffic congestion, characterized by its inherent instability, has been extensively studied using deterministic models, providing valuable insights. However, these models often overlook the stochastic nature of driver behavior, a k…
View article: EFFECTS OF REYNOLDS NUMBER VARIATION ON HEAT AND MASS TRANSFER FOR MHD FLOW IN A CONCENTRATED PARABOLIC THERMAL SOLAR COLLECTOR
EFFECTS OF REYNOLDS NUMBER VARIATION ON HEAT AND MASS TRANSFER FOR MHD FLOW IN A CONCENTRATED PARABOLIC THERMAL SOLAR COLLECTOR Open
Abstract: The paper analyzes the effects of the Reynolds number variation on mixed convective heat and mass transfer over a parabolic surface under a radial magnetic field cutting perpendicular along the fluid flow in presence of a constan…
View article: EFFECTS OF BROWNIAN MOTION AND THERMOPHORESIS VARIATION ON MHD NANOFLUID FLOW IN A CONCENTRATED PARABOLIC THERMAL SOLAR COLLECTOR
EFFECTS OF BROWNIAN MOTION AND THERMOPHORESIS VARIATION ON MHD NANOFLUID FLOW IN A CONCENTRATED PARABOLIC THERMAL SOLAR COLLECTOR Open
Abstract: This research paper investigates the effects of Thermophoresis and Brownian motion parameter variation on heat and mass transfer on MHD nanofluid flow in a parabolic thermal solar collector. The effect of laminar flow which is oc…
View article: Magnetic Induction, Hall Current and Thermal Diffusion Effects on Unsteady MHD Nanofluif Flow Past an Oscillatory Semi-Infinite Vertical Flat Plate Embedded In A Porous Media
Magnetic Induction, Hall Current and Thermal Diffusion Effects on Unsteady MHD Nanofluif Flow Past an Oscillatory Semi-Infinite Vertical Flat Plate Embedded In A Porous Media Open
Abstract: The effects of induced magnetic field, hall current and thermal diffusion for an incompressible, unsteady, viscous MHD Nano-fluid flow past a semi-infinite oscillating vertical flat plate embedded in a porous media, have been rep…
View article: Magnetic Induction Effects on Unsteady MHD Nanofluid Flow Past an Oscillating Semi-Infinite Vertical Flat Plate Embedded in Porous Media
Magnetic Induction Effects on Unsteady MHD Nanofluid Flow Past an Oscillating Semi-Infinite Vertical Flat Plate Embedded in Porous Media Open
Abstract: This research work addresses the effects of induced magnetic field and thermal diffusion for an incompressible, unsteady, viscous MHD Nano-fluid flow past a semi-infinite oscillating vertical flat plate embedded in a porous media…
View article: Effects of Religious Leaders on Non-Pharmaceutical and Pharmaceutical Intervention Measures in Covid-19 Spread In Kenya
Effects of Religious Leaders on Non-Pharmaceutical and Pharmaceutical Intervention Measures in Covid-19 Spread In Kenya Open
Abstract: This research addresses the numerical modelling of religious leaders’ effect on adherence to pharmaceutical and non-pharmaceutical intervention measures to reduce COVID-19 spread in Kenya. Disease-free equilibrium was determined.…
View article: Analysis of SEIR Model for Effectiveness of Religious Leaders on Non-Pharmaceutical and Pharmaceutical Interventions against Covid -19 Spread In Kenya
Analysis of SEIR Model for Effectiveness of Religious Leaders on Non-Pharmaceutical and Pharmaceutical Interventions against Covid -19 Spread In Kenya Open
Abstract: This research analyses the effectiveness of religious leaders’ on adherence to pharmaceutical and non-pharmaceutical intervention measures to reduce COVID-19 spread in Kenya. Disease-free and endemic equilibrium was determined, a…
View article: The Effect of Heat and Mass Transfer on Unsteady MHD Nanofluid Flow Through Convergent-Divergent Channel
The Effect of Heat and Mass Transfer on Unsteady MHD Nanofluid Flow Through Convergent-Divergent Channel Open
This paper investigates the effects of heat and mass transfer on unsteady MHD Nanofluid flow (silver-water) through convergent-divergent channel. The governing equations of this study are non-linear partial differential equations and these…
View article: Pressure-Velocity Coupling Schemes for Bouyancy Driven Flow in a Differentially Heated Cavity Using F.V.M and Matlab
Pressure-Velocity Coupling Schemes for Bouyancy Driven Flow in a Differentially Heated Cavity Using F.V.M and Matlab Open
Numerical analysis of fluid flow is anchored on the laws of conservation. A challenge in solving the momentum equation arises due to the unavailability of an explicit pressure equation. To avoid solving the pressure term most researchers h…
View article: Analysis of Effect of Inclined Magnetic Field on MHD Boundary Layer Flow over a Porous Exponentially Stretching Sheet Subject to Thermal Radiation
Analysis of Effect of Inclined Magnetic Field on MHD Boundary Layer Flow over a Porous Exponentially Stretching Sheet Subject to Thermal Radiation Open
MHD flow has a wide range of industrial applications such as MHD propulsion for space exploration, cooling of nuclear reactors, electronic packages, microelectronic devices, and many more. Due to this, a study on the MHD boundary layer flo…
View article: Modeling the Effect of Binding Kinetics in Spatial Drug Distribution in the Brain
Modeling the Effect of Binding Kinetics in Spatial Drug Distribution in the Brain Open
A 3-dimensional mathematical model is developed to determine the effect of drug binding kinetics on the spatial distribution of a drug within the brain. The key components, namely, transport across the blood-brain barrier (BBB), drug distr…
View article: A Human-Pathogen Model for COVID-19 Outbreak: Flattening Epidemic Curve in Kenya
A Human-Pathogen Model for COVID-19 Outbreak: Flattening Epidemic Curve in Kenya Open
This work introduces a deterministic model of COVID-19 spread aimed at analyzing non-pharmaceutical interventions in Kenya. The model accounts for symptomatic, asymptomatic and environmental transmission. Using the SEIR (Susceptible-Expose…
View article: Modeling the Effects of Nonpharmaceutical Interventions on COVID-19 Spread in Kenya
Modeling the Effects of Nonpharmaceutical Interventions on COVID-19 Spread in Kenya Open
Mathematical modeling of nonpharmaceutical interventions (NPIs) of coronavirus disease (COVID-19) in Kenya is presented. A susceptible-exposed-infected-recovered (SEIR) compartment model is considered with additional compartments of hospit…
View article: Age-structured Impact of Mitigation Strategies on COVID-19 Severity and Deaths in Kenya
Age-structured Impact of Mitigation Strategies on COVID-19 Severity and Deaths in Kenya Open
Introduction: COVID-19, a coronavirus disease 2019, is an ongoing pandemic caused by severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2). There have been a lot of attempts to model this pandemic from a global perspective. The Nove…
View article: Mathematical Modelling and Analysis of Corruption Dynamics with Control Measures in Tanzania
Mathematical Modelling and Analysis of Corruption Dynamics with Control Measures in Tanzania Open
Corruption is a worldwide problem that affects many countries where by individuals loses their rights, lower community confidence in public authorities, absence of peace and security, misallocation of resources and termination of employmen…
View article: SEIR model for COVID-19 dynamics incorporating the environment and social distancing
SEIR model for COVID-19 dynamics incorporating the environment and social distancing Open
Objective Coronavirus disease 2019 (COVID-19) is a pandemic respiratory illness spreading from person-to-person caused by a novel coronavirus and poses a serious public health risk. The goal of this study was to apply a modified susceptibl…
View article: Age-Structured Model for COVID-19: Effectiveness of Social Distancing and Contact Reduction
Age-Structured Model for COVID-19: Effectiveness of Social Distancing and Contact Reduction Open
Background: Coronavirus disease 2019 is caused by severe acute respiratory syndrome coronavirus 2. The disease has spread to almost every country in the world. Kenya reported its first case on 13th of March 2020. From 16th March 2020, the …
View article: SEIR model for COVID-19 dynamics incorporating the environment and social distancing
SEIR model for COVID-19 dynamics incorporating the environment and social distancing Open
Objective: Coronavirus disease 2019 (COVID-19) is a pandemic respiratory illness spreading from person-to-person caused by a novel coronavirus and poses a serious public health risk. The goal of this study was to apply a modified susceptib…
View article: A Human-Pathogen SEIR-P Model for COVID-19 Outbreak under different intervention scenarios in Kenya
A Human-Pathogen SEIR-P Model for COVID-19 Outbreak under different intervention scenarios in Kenya Open
This work describes the mathematical modelling and dynamics of a novel Coronavirus disease 2019 (COVID-19) in Kenya. The mathematical model assumes Human-Human infection as well as Human-Pathogen interaction. Using the SEIR (Susceptible-Ex…
View article: Modeling the Effects of Non-Pharmaceutical Interventions on COVID-19 Spread in Kenya
Modeling the Effects of Non-Pharmaceutical Interventions on COVID-19 Spread in Kenya Open
Mathematical modeling of non-pharmaceutical interventions (NPIs) of COVID-19 in Kenya is presented. An SEIR compartment model is considered with additional compartments of hospitalized population whose condition is severe or critical and a…
View article: Application of Optimal Control to Influenza Pneumonia Coinfection with Antiviral Resistance
Application of Optimal Control to Influenza Pneumonia Coinfection with Antiviral Resistance Open
Influenza and pneumonia independently lead to high morbidity and mortality annually among the human population globally; however, a glaring fact is that influenza pneumonia coinfection is more vicious and it is a threat to public health. E…
View article: Global Stability of Pneumococcal Pneumonia with Awareness and Saturated Treatment
Global Stability of Pneumococcal Pneumonia with Awareness and Saturated Treatment Open
Pneumocccal pneumonia, a secondary bacterial infection that follows influenza A infection, is responsible for morbidity and mortality in children, elderly, and immunocomprised groups. A mathematical model to study the global stability of p…