ANALISIS KESTABILAN MODEL PENYEBARAN PENYAKIT TUBERCULOSIS DENGAN PENGARUH SANITASI

SAPUTRA, DONI and Cahyono, Endro Setyo and Suprihatin, Bambang (2020) ANALISIS KESTABILAN MODEL PENYEBARAN PENYAKIT TUBERCULOSIS DENGAN PENGARUH SANITASI. Undergraduate thesis, Sriwijaya University.

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Abstract

The purpose of this study is to analyze the stability model of the spread of tuberculosis (TB) with the effect of sanitation as an increase in the recovery rate of infected individuals. The model used is the Susceptible-Infected-Recovered (SIR) model, in its distribution, the model is derived with respect to time using the autonomous differential equation. Routh Hurwitz criteria and eigenvalue are used to see the stability model of the spread of tuberculosis with sanitation effects in terms of disease-free equilibrium and endemic equilibrium points. An increasing number of individuals in the recovered subpopulation each year after being affected by sanitation and the model of the spread of the disease remains stable.

Item Type: Thesis (Undergraduate)
Uncontrolled Keywords: Tuberculosis, Titik Kesetimbangan, Routh-Hurwitz, sanitasi, SIR
Subjects: Q Science > QA Mathematics > QA1-939 Mathematics > QA21 Calculus. MATHEMATICS
Q Science > QA Mathematics > QA1-939 Mathematics > QA37.3.1.64 Applied Mathematics
Q Science > QA Mathematics > QA1-939 Mathematics > QA641 Geometry, Differential. Geometry, Riemannian. EDUCATION / General. bisacsh.
R Medicine > RA Public aspects of medicine > RA648.5-767 Epidemics. Epidemiology. Quarantine. Disinfection
Divisions: 08-Faculty of Mathematics and Natural Science > 44201-Mathematics (S1)
Depositing User: Users 7063 not found.
Date Deposited: 27 Aug 2020 07:11
Last Modified: 27 Aug 2020 07:11
URI: http://repository.unsri.ac.id/id/eprint/33910

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