Mathematics model of measles and rubella with vaccination

D. Amelia, H. Tasman

Research output: Contribution to journalConference articlepeer-review

Abstract

Measles and rubella are two contagious diseases in human population which are caused by viruses. Measles and rubella can be prevented by vaccination. In this article, a mathematical model of the spread of measles and rubella with vaccination was constructed and analyzed. The population was divided into 9 classes. It was obtained four equilibrium points, these were the disease-free equilibrium point, the measles-free equilibrium point, the rubella-free equilibrium point, and the endemic equilibrium point. There were two basic reproduction numbers, corresponding to spread of measles and rubella. These numbers correspond to the stability of the equilibrium points. Numerical simulation is done to see the dynamics of population and to confirm the analytical result.

Original languageEnglish
Article number012017
JournalJournal of Physics: Conference Series
Volume1725
Issue number1
DOIs
Publication statusPublished - 12 Jan 2021
Event2nd Basic and Applied Sciences Interdisciplinary Conference 2018, BASIC 2018 - Depok, Indonesia
Duration: 3 Aug 20184 Aug 2018

Keywords

  • Basic reproduction number
  • Epidemiological model
  • Equilibrium point
  • Measles
  • Rubella
  • Stability analysis

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