Simulation Modeling Incomplete Treatment Impact on Tuberculosis Transmission

Muna Afdi Muniroh

doi:10.20956/j.v21i2.36825

Authors

Muna Afdi Muniroh Universitas PGRI Ronggolawe

DOI:

https://doi.org/10.20956/j.v21i2.36825

Keywords:

local stability, sensitivity analysis, tuberculosis model

Abstract

Among the most common diseases globally is tuberculosis (TB). The spread dynamics of TB are formulated in the form of a mathematical model with five subpopulation densities, namely, susceptible individuals, latent individuals, TB active individuals, treated individuals, and recovered individuals. The existence of an equilibrium point is contingent upon the value of the basic reproduction number Ro. Ro is a key metric for understanding the potential for disease transmission and is obtained from the next generation matrix. Stability analysis for TB models is investigated by determining the criteria for the local stability of equilibrium points. After that, a sensitivity analysis is conducted to identify TB model parameters that most affect Ro value. The solution behavior of the TB model is shown by graphs generated numerically with the Runge-Kutta fourth-order method and Matlab software

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