DOI: https://doi.org/10.14710/jfma.v5i2.15723

MATHEMATICAL ANALYSIS OF A TUBERCULOSIS MODEL WITH TWO DIFFERENT STAGES OF INFECTION

*Anindita Henindya Permatasari scopus  -  Dept. of Mathematics, Diponegoro University, Indonesia
Robertus Heri Soelistyo Utomo  -  Dept. of Mathematics, Diponegoro University, Indonesia

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Abstract

Tuberculosis is an infectious disease. This disease causes death and the world notes that Tuberculosis has a high mortality rate. A mathematical model of Tuberculosis with  two infection stages of individuals, pre infected and actively infected, is studied in this paper. The rate of treatment considered in this model. The stability analysis of the equilibrium is determined by the basic reproduction ratio. Routh Hurwitz linearization is used for investigate the local stability of uninfected equilibrium. While the global stability of endemic equilibrium is investigated by construct Lyapunov function. The effect of treatment in pre infected and actively infected stages can reduce the spread rate of Tuberculosis as shown in numerical simulation.

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Section: FUNDAMENTAL MATHEMATICS AND APPLICATIONS
Language : EN
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