Browsing School of Pure and Applied Sciences by Author "Kimathi, Mark"
Now showing items 1-14 of 14
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A class of multi-phase traffic theories for microscopic,kinetic and continuum traffic models
Borsche, Raul; Kimathi, Mark; Klar, Axel (Computers and Mathematics with Applications, 2013)In the present paper are view and numerical comparison of a special class of multi-phase traffic theories based on microscopic, kinetic and macroscopic traffic models is given.Macroscopic traffic equations with multi-valued ... -
Effects of Magnetic Induction on MHD Boundary LayerFlow of Dusty Fluid over a Stretching Sheet
Silu, Stephen Mutua; Wainaina, Mary; Kimathi, Mark (2018)This paper investigates effects of induced magnetic field on the MHD laminar boundary dusty fluid flow over a stretching flat plate surface. The dusty fluid flow is influenced by an external uniform magnetic ... -
Hopf-Bifurcation Analysis of Pneumococcal Pneumonia with Time Delays
Mbabazi, Fulgensia Kamugisha; Kimathi, Mark; Mugisha, Joseph Y.T. (Hindawi, 2019)In this paper, a mathematical model of pneumococcal pneumonia with time delays is proposed. The stability theory of delay differential equations is used to analyze the model. The results show that the disease-free equilibrium ... -
Hydromagnetic Jeffery-Hamel Unsteady Flow of a Dissipative Non-Newtonian Fluid with Nonlinear Viscosity and Skin Friction
Ochieng, Francis Oketch; Kinyanjui, Mathew Ngugi; Kimathi, Mark (Research India Publications, 2018)In this paper, the unsteady two-dimensional Jeffery-Hamel flow of an incompressible non-Newtonian fluid, with nonlinear viscosity and skin friction, flowing through a divergent conduit in the presence of a constant applied ... -
Investigation of pressure distributions for a finite elastohydrodynamic journal bearing lubricated by Ferro fluids with couple stresses
Kihuga, Daniel; Kimathi, Mark; Kinyanjui, Mathew (Journal of Computations and Modelling, 2015)The performance of finite elastohydrodynamic journal bearings lubricated by ferrofluids with couple stresses has been studied. We derive a Reynolds equation that takes into account magneto elastohydrodynamics, ... -
Investigation of Temperature effects for a finite elasto-hydrodynamic journal bearing lubricated by Ferro fluids with couple stresses
Daniel, Kihuga; Kinyanjui, Mathew; Kimathi, Mark (2015)The performance of finite elasto-hydrodynamic journal bearings lubricated by ferrofluids with couple stresses has been studied. We derive the energy equation that takes into account magneto elasto-hydrodynamics. The ... -
Kinetic derivation of a Hamilton-Jacobi traffic flow model
Borsche, Raul; Kimathi, Mark; Klar, Axel (2012)Kinetic models for vehicular traffic are reviewed and considered from the point of view of deriving macroscopic equations. A derivation of the associated macroscopic traffic flow equations leads to different types of ... -
Mathematical Analysis of Influenza A Dynamics in the Emergence of Drug Resistance
Kanyiri, Caroline W.; Kimathi, Mark; Luboobi, Livingstone (Hindawi, 2018)Every year, influenza causes high morbidity and mortality especially among the immunocompromised persons worldwide. The emergenceofdrugresistancehasbeenamajorchallengeincurbingthespreadofinfluenza.Inthispaper,amathematicalmodelis ... -
Modeling the Effect of Binding Kinetics in Spatial Drug Distribution in the Brain
Kashaju, Nelson; Kimathi, Mark; Masanja, Verdiana G. (Hindawi, 2021-07-05)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 ... -
Modeling the within-host co-infection of influenza A virus and pneumococcus
Mbabazi, Fulgensia Kamugisha; Mugisha, JYT; Kimathi, Mark (Elsevier, 2018)In this paper a nonlinear mathematical model for a within-host co-infection of influenza A virus and pneumococcus is investigated. Conditions that explain the relations amid RIP and its relationship to the global asymptotic ... -
Modelling Influenza Dynamics with Drug Resistance Aspect
Kanyiri, Caroline W.; Kimathi, Mark; Luboobi, L. S. (2017)Despite improvement in medical and public health standards, influenza continues to plague humankind causing high morbidity,mortality and socio-economic cost. Efforts to effectively combat the spread of influenza can be put in ... -
Numerical Solution for a Model on Cancer Growth Reduction Using both Chemotherapy and Radiotherapy
Gikunda, Purity Kioro; Kimathi, Mark; Wainaina, Mary (Research India Publications, 2019)Using mathematical models to simulate dynamic biological processes has a long history. In this study, we have employed mathematical modeling to understand the behavior of cancer and its interaction with both chemotherapy ... -
Stability Analysis Using Nonstandard Finite Difference Method and Model Simulation for Multi-Mutation and Drug Resistance with Immune-Suppression.
Togbenon, Houénafa Alain; Degla, Guy Aymard; Kimathi, Mark (2018)We introduced recently a model that takes into account mutation and drug resistance of tumor cells in a case of simple immune system and immune-suppression caused by the resistant cells. The present study is to apply the ... -
A study of two-phase Jeffery Hamel flow in a geothermal pipe
Ojiambo, Viona; Kinyanjui, Mathew; Kimathi, Mark (IJAAMM, 2018)In this paper a two-phase convergent Jeffrey-Hamel flow in a geothermal pipe concentrated with silica particles and thermophoresis has been studied. The governing equations are equation of mass, momentum, heat transfer ...