Mathematics model of measles and rubella with vaccination. Issue 1 (January 2021)

• Record Type: Journal Article
• Authors: Amelia, D; Tasman, H
• Is Part Of: Journal of physics. Volume 1725:Issue 1(2021)
• Publication Date: 2021-01
• Subjects: Epidemiological model -- measles -- rubella -- equilibrium point -- basic reproduction number -- stability analysis; Physics -- Congresses; 530.5
• DOI: 10.1088/1742-6596/1725/1/012017
• Languages: English
• ISSNs: 1742-6588

Abstract

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.