JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI
Vol. 16 No. 1 (2019): JMSK, July, 2019

Analisis Kestabilan Model SEIR Penyebaran Penyakit Campak dengan Pengaruh Imunisasi dan Vaksin MR

Willyam Daniel Sihotang (Universitas Negeri Medan)
Ceria Clara Simbolon (Universitas Negeri Medan)
July Hartiny (Universitas Negeri Medan)
Desrinawati Tindaon (Universitas Negeri Medan)
Lasker Pangarapan Sinaga (Universitas Negeri Medan)



Article Info

Publish Date
27 Jun 2019

Abstract

Measles is a contagious infectious disease caused by a virus and has the potential to cause an outbreak. Immunization and vaccination are carried out as an effort to prevent the spread of measles. This study aims to analyze and determine the stability of the SEIR model on the spread of measles with the influence of immunization and MR vaccines. The results obtained from model analysis, namely there are two disease free and endemic equilibrium points. If the conditions are met, the measles-free equilibrium point will be asymptotically stable and the measles endemic equilibrium point will be stable. Numerical solutions show a decrease in the rate of spread of measles due to the effect of immunization and the addition of MR vaccines.

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Journal Info

Abbrev

jmsk

Publisher

Subject

Mathematics

Description

Jurnal ini mempublikasikan paper-paper original hasil-hasil penelitian dibidang Matematika, Statistika dan Komputasi ...