TY - JOUR
T1 - Mathematics model of measles and rubella with vaccination
AU - Amelia, D.
AU - Tasman, H.
N1 - Funding Information:
This work was partially financially supported by PDUPT 2015 research grant.
Publisher Copyright:
© 2021 Journal of Physics: Conference Series.
Copyright:
Copyright 2021 Elsevier B.V., All rights reserved.
PY - 2021/1/12
Y1 - 2021/1/12
N2 - 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.
AB - 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.
KW - Basic reproduction number
KW - Epidemiological model
KW - Equilibrium point
KW - Measles
KW - Rubella
KW - Stability analysis
UR - http://www.scopus.com/inward/record.url?scp=85100742474&partnerID=8YFLogxK
U2 - 10.1088/1742-6596/1725/1/012017
DO - 10.1088/1742-6596/1725/1/012017
M3 - Conference article
AN - SCOPUS:85100742474
SN - 1742-6588
VL - 1725
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
IS - 1
M1 - 012017
T2 - 2nd Basic and Applied Sciences Interdisciplinary Conference 2018, BASIC 2018
Y2 - 3 August 2018 through 4 August 2018
ER -
