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George Kimathi

Publications (5)

Formulation of a Mathematical Model for the Transmission Dynamics of Infectious Bursal Disease (IBD), Incorporating Eects of Environmental Factors

Emily Atieno Omollo & George Kimathi · Asian Research Journal of Mathematics · 2020

In this paper, we develop a four compartment model that explain the transmission dynamics of infectious bursal disease, considering the effects of environmental factors. Ordinary differential equations have been used in formulation of the model. Reproductive number (R0) has been...

Open access Research Article 10.9734/arjom/2020/v16i930217

Solutions to the Equations Governing Convective Flow of Two Viscous Immiscible Dusty and Pure Fluids in a Vertical Corrugated Wall and a Parallel Flat Wall

Winfred Kaluki Musau, George Kimathi & Caroline Songa · Asian Journal of Probability and Statistics · 2019

This paper presents the solutions to the equations governing convective flow and heat transfer of two viscous immiscible dusty and pure fluids confined between a vertical corrugated wall and a parallel flat wall. The nonlinear partial differential equations governing the flow hav...

Open access Research Article 10.9734/ajpas/2019/v4i330117

Analysis and Modeling of Tuberculosis Transmission Dynamics

Rodah Jerubet, George Kimathi & Mary Wanaina · Journal of Advances in Mathematics and Computer Science · 2019

Mycobacterium tuberculosis is the causative agent of Tuberculosis in humans [1,2]. A mathematical model that explains the transmission of Tuberculosis is developed. The model consists of four compartments; the susceptible humans, the infectious humans, the latently infected human...

Open access Research Article 10.9734/jamcs/2019/v32i530159

Mathematical Modeling of Typhoid Fever Disease Incorporating Unprotected Humans in the Spread Dynamics

Julia Wanjiku Karunditu, George Kimathi & Shaibu Osman · Journal of Advances in Mathematics and Computer Science · 2019

A deterministic mathematical model of typhoid fever incorporating unprotected humans is formulated in this study and employed to study local and global stability of equilibrium points. The model incorporating Susceptible, unprotected, Infectious and Recovered humans which are ana...

Open access Research Article 10.9734/jamcs/2019/v32i330144

Analysis of Transmission Dynamics of Anthrax in Animals: A Modeling Approach

George Thiong’o Githire, George Kimathi & Mary Wainaina · Journal of Scientific Research and Reports · 2019

This paper seeks to develop a SIR model with vaccination compartment in the study of anthrax transmission dynamics in animal population. The model employ ordinary differential equations in the formulation of its equation. The model’s steady states solutions are investigated. The...

Open access Research Article 10.9734/jsrr/2019/v23i130111