doi: 10.7763/IJAPM.2014.V4.248
A Mathematical Study of an Influenza Model with Vaccination
Siwaphorn Kanchanarat
,
Settapat Chinviriyasit
- the Department of Mathematics at King Mongkut’s University of Technology Thonburi, Bangkok, 10140 Thailand
Abstract
Influenza is the serious disease caused by an influenza virus. This disease is spreading widely that difficult to control. Vaccination is a commonly method for protect disease. In this study, thus, SVEIR (susceptible-vaccinated-exposed-infectious-recovered) model is used to predict the number of infected and the duration of an outbreak when it occurs. Using next generation method, it is shown that the disease can be eradicated from the population if the vaccination coverage level exceeds a certain threshold value. It is also shown that the disease will persist within the population if the coverage level of vaccination is below this critical value. These results are verified by numerical simulations.
Keywords
- SVEIR epidemic model
- stability
- disease free equilibrium point
- basic reproductive number
How to Cite
Siwaphorn Kanchanarat and Settapat Chinviriyasit, "A Mathematical Study of an Influenza Model with Vaccination," International Journal of Applied Physics and Mathematics, vol. 4, no. 1, pp. 22-26, 2014. https://doi.org/ 10.7763/IJAPM.2014.V4.248
Copyright & License
Copyright © 2014 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).