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

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Penilaian

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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

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Availability

Inventory Code	Barcode	Call Number	Location	Status
2007001851	T40549	T405492020	Central Library (REFERENCES)	Available but not for loan - Not for Loan

Detail Information

Series Title

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Call Number

T405492020

Publisher

Inderalaya : Jurusan Matematika, Fakultas Matematika Dan Ilmu Pengetahuan Alam Universitas Sriwijaya., 2020

Collation

xii, 45 hlm. : ilus. ; 28 cm

Language

Indonesia

ISBN/ISSN

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Classification

616.990 7

Content Type

Text

Media Type

unmediated

Carrier Type

-

Edition

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Subject(s)

tuberkulosis
Jurusan Matematika

Specific Detail Info

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Statement of Responsibility

DS

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