Global stability analysis of Susceptible, Infected, Recovered (S, I, R) model measles vaccination based on age

Juhari, Juhari, Karinina, Olivia, Aziz, Abdul and Alisah, Evawati (2023) Global stability analysis of Susceptible, Infected, Recovered (S, I, R) model measles vaccination based on age. InPrime: Indonesian Journal Of Pure And Applied Mathematics, 5 (2). pp. 144-160. ISSN 2716-2478

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Abstract

This study discusses the behavioral analysis model of the Susceptible-Infected-Recovered (SIR) epidemic of the spread of measles based on age structure. The total population of measles is grouped into four age groups, namely the first age group (0-4 years), the second age group (5-9 years), the third age group (10-14 years) and the fourth age group (> 15 years). The steps in modeling behavior can be done by determining the equilibrium point, the basic reproduction number and performing a global stability analysis by building the Lyapunov function. This research contributes to providing information both to the government and the community

Item Type:	Journal Article
Keywords:	epidemic model; SIR; Lyapunov function; Measles
Subjects:	01 MATHEMATICAL SCIENCES > 0102 Applied Mathematics > 010204 Dynamical Systems in Applications 01 MATHEMATICAL SCIENCES > 0102 Applied Mathematics > 010299 Applied Mathematics not elsewhere classified
Divisions:	Faculty of Mathematics and Sciences > Department of Mathematics
Depositing User:	Juhari Juhari
Date Deposited:	20 Nov 2023 18:37

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