Mathematical Modelling of the Epidemiology of Tuberculosis with Silicosis Coinfection

Innocent Cleopas Eli
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Innocent Cleopas Eli: Department of Mathematics and Statistics, Federal University Otuoke, Bayelsa State, Nigeria

International Journal of Research and Innovation in Applied Science, 2025, vol. 10, issue 2, 603-624

Abstract: The study presents an innovative mathematical model analysing the epidemiology of Tuberculosis with silicosis coinfection. It effectively integrates epidemiological factors and historical theoretical research with well-structured model formulation and numerical verification through MATLAB. The use of partial differential equation, Jacobian matrix, deterministic techniques as well as Routh Hurwitz algebraic criteria plays significant role in the stability of disease-free equilibrium point and stability of the endemic equilibrium point analytically which indicates locally stable system asymptotically which indicates locally stable system asymptotically as equally demonstrated by the reproduction number. The solutions of the model equations are integrated using the Range Kutta Fourth order method in MATLAB and observed the impact of which proves that the endemic equilibrium point increased for the recorded population meanwhile, decreased for the coinfected population as increases. Since the Ro

Date: 2025
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