KAJIAN KRITERIA ROUTH-HURWITZ UNTUK MENENTUKAN KESTABILAN TITIK KESETIMBANGAN PADA MODEL SIR (SUSCPIBLE-INFECTED-RECOVERED) UNTUK PENYAKIT TUBERKULOSIS

LUMBANTORUAN, ABEL FAJAR and Cahyono, Endro Setyo and Bangun, Putra Bahtera Jaya (2020) KAJIAN KRITERIA ROUTH-HURWITZ UNTUK MENENTUKAN KESTABILAN TITIK KESETIMBANGAN PADA MODEL SIR (SUSCPIBLE-INFECTED-RECOVERED) UNTUK PENYAKIT TUBERKULOSIS. Undergraduate thesis, Sriwijaya University.

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Abstract

One of the problems in daily life is the spread of a disease. The SIR (Susceptible-Infected-Recovered) mathematical model can be used to identify an infectious disease, such as tuberculosis (TB). TB is an infectious disease caused by a bacterial infection of the same name, Mycobacterium Tuberculosis. In this research, a model which is divided into three substances is used, namely the susceptible group (S), the infected group (I), and the group that has been Rocovered (R). And in this model a differential equation is formed which aims to find the equilibrium point with the Routh-Hurwitz criteria. The Routh-Hurwitz criterion comes from the decline tested by Euclide, the Sturm's Theorem and the Cauchy index if and only if all three are met. In the use of the Hurwitz matrix it will be said to be stable if and only if the determinant of the Hurwitz matrix kofatkor is positive. It will be said to be stable if and only if each coefficient is positive and the roots of the polynomial are negative. Based on the simulation, it can be said that the spread of disease-free and endemic is categorized stable according to the Routh-Hurwitz

Item Type:	Thesis (Undergraduate)
Uncontrolled Keywords:	Routh-Hurwitz, SIR, Tuberculosis, Stability
Subjects:	Q Science > QA Mathematics > QA101-(145) Elementary mathematics. Arithmetic Q Science > QA Mathematics > QA801-939 Analytic mechanics > QA911.Z54 Fluid dynamics--Mathematical models. Multiphase flow--Mathematical models. Turbulence--Mathematical models. Combustion--Mathematical models. Combustion--Mathematical models. Fluid dynamics--Mathematical models. Multiphase flow
Divisions:	08-Faculty of Mathematics and Natural Science > 44201-Mathematics (S1)
Depositing User:	Users 9987 not found.
Date Deposited:	21 Jan 2021 05:10
Last Modified:	21 Jan 2021 05:10
URI:	http://repository.unsri.ac.id/id/eprint/40549

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