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

Authors

  • 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

DOI:

https://doi.org/10.20956/jmsk.v16i1.6594

Keywords:

Model of Measles, Stable Equilibrium Point, MR Vaccine

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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References

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Published

2019-06-27

Issue

Section

Research Articles