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All Journal Journal of Fundamental Mathematics and Applications (JFMA)
Anindita Henindya Permatasari
DIponegoro University
Decision Sciences, Operations Research & Management

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ANALYSIS OF TUBERCULOSIS DYNAMICAL MODEL WITH DIFFERENT EFFECTS OF TREATMENT Anindita Henindya Permatasari; Robertus Heri Soelistyo Utomo
Journal of Fundamental Mathematics and Applications (JFMA) Vol 4, No 2 (2021)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1123.728 KB) | DOI: 10.14710/jfma.v4i2.12049

Abstract

A tuberculosis model that integrates pre-infection and active infection stages along with two treatment parameters was studied. The model also considered the death rate due to pre-tuberculosis infection. The basic reproduction ratio was used to investigate the local and global stability of the equilibrium point. The local stability of uninfected equilibrium was analysed using Routh Hurwitz criteria. The existence of endemic equilibrium was given. After we achieved the endemic equilibrium, the global stability of the endemic equilibrium was analyzed using the Lyapunov function. A numerical simulation was studied to illustrate the effect of the treatment on the spread of the tuberculosis disease. 
Co-Authors Robertus Heri Sulistyo Utomo