Research in the Mathematical and Natural Sciences
Vol. 1 No. 1 (2022): November 2021-April 2022

Analisis Kestabilan Model SITR pada Penyebaran Penyakit Hepatitis A dengan Vaksinasi

Sidik, Amelia Tri Rahma (Unknown)
Sari, Lia Nanda (Unknown)
Ismail, Apon (Unknown)



Article Info

Publish Date
05 Feb 2022

Abstract

In this article, the SITR Model for the spread of Hepatitis A by Vaccination is discussed. This study aims to analyze the stability of the model for the spread of hepatitis A disease around the points, interpret the model that has been formed by performing numerical simulations, and determine the effect of vaccination and treatment on the human population infected with hepatitis A. indicated by (T1) is stable and the endemic fixed point indicated by (T2) is stable. Based on the simulation obtained from each class (S, I, T, R) for R0<1, it shows that the population dynamics is (0.13,0,0,0.87) of the total population. Meanwhile, for R0>1 with a basic reproduction number, it shows the population dynamics of each class (S, I, T, R) that is (0.12,0.0056,0.0053,0.85) of the total population.

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Journal Info

Abbrev

rmns

Publisher

Subject

Computer Science & IT Education Mathematics

Description

Research in the Mathematical and Natural Sciences (RiMaNs) is a national journal intended as a communication forum for mathematicians and other scientists from many practitioners who use mathematics in their research. RiMaNs disseminate new research results in all areas of mathematics and their ...