The Study of Tuberculosis Disease Model Stability Using Lyapunov Method

Authors

  • Astrid Aqila Fadillaha
  • Mardiningsiha Mardiningsiha

Keywords:

Basic reproduction number, Differential equation, Lyapunov method, Stability, Tuberculosis

Abstract

ABSTRACT
This research aims to examine the stability of the tuberculosis disease transmission model in Indonesia using the Lyapunov method, analyzed through Lyapunov functions. Approximately 52% of tuberculosis cases in Indonesia go undetected or unreported. In this study, it is assumed that individuals who have recovered have immunity for a certain period, making them susceptible again afterward. Parameter values are sourced from the 2021 Indonesian Health Profile and various other journals. The disease spread is evaluated using the reproduction number formed by The Next Generation Matrix. Additionally, numerical simulations are conducted by varying vaccine parameters (

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Published

2025-04-24

Issue

Vol. 11 No. 2 (2023): IT Journal

Section

Articles