JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI
Vol. 18 No. 3 (2022): MAY, 2022

Analisis Kestabilan Model Matematika Penyebaran Penyakit Tuberkulosis yang Koinfeksi Diabetes Melitus dengan Pengobatan strategi DOTS

Mutmainnah Syamsul (Universitas Hasanuddin, Fakultas MIPA, program studi Magister Matematika.)
Syamsuddin Toaha (Unknown)
Kasbawati Kasbawati (Unknown)



Article Info

Publish Date
15 May 2022

Abstract

Tuberculosis (TB) is an infectious disease caused by the bacterium Mycobacterium tuberculosis. Patients with symptoms of TB can be caused by immune disorders such as diabetes mellitus infection. Patients with diabetes mellitus can affect the clinical symptoms of TB patients and are associated with a slow response to TB treatment. This study aims to analyze and determine the stability of the equilibrium point of the TB disease spread model coinfected with DM by considering nine compartments, namely susceptible TB without DM, exposed TB without DM, infected TB without DM, recovered TB without DM, susceptible TB with DM, exposed TB with DM, infected TB with DM, recovered TB with DM, and treatment with DOTS. The research method used is a qualitative method by determining the basic reproduction number obtained with next generation matrix method to analyze the stability of the non-endemic and endemic equilibrium points. The non-endemic and endemic equilibrium points are said to be locally asymptotically stable if  , and unstable if  .The results obtained from sensitivity analysis show that the spread of disease can be reduced and eliminated if treated with DOTS in the infected compartment.

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Journal Info

Abbrev

jmsk

Publisher

Subject

Mathematics

Description

Jurnal ini mempublikasikan paper-paper original hasil-hasil penelitian dibidang Matematika, Statistika dan Komputasi ...