Disease Control through Voluntary Vaccination Decisions Based on the Smoothed Best Response
We investigate game-theory based decisions on vaccination uptake and its effects on the spread of an epidemic with nonlinear incidence rate. It is assumed that each individual's decision approximates his/her best response (called smoothed best response) in that this person chooses to take the v...
| Main Authors: | , |
|---|---|
| Format: | Online |
| Language: | English |
| Published: |
Hindawi Publishing Corporation
2014
|
| Online Access: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3947699/ |
| id |
pubmed-3947699 |
|---|---|
| recordtype |
oai_dc |
| spelling |
pubmed-39476992014-04-01 Disease Control through Voluntary Vaccination Decisions Based on the Smoothed Best Response Xu, Fei Cressman, Ross Research Article We investigate game-theory based decisions on vaccination uptake and its effects on the spread of an epidemic with nonlinear incidence rate. It is assumed that each individual's decision approximates his/her best response (called smoothed best response) in that this person chooses to take the vaccine based on its cost-benefit analysis. The basic reproduction number of the resultant epidemic model is calculated and used to characterize the existence and stability of the disease-free and endemic equilibria of the model. The effects on the spread and control of the epidemic are revealed in terms of the sensitivity of the response to changes in costs and benefits, in the “cost” of the vaccination, and in the proportion of susceptible individuals who are faced with the decision of whether or not to be vaccinated per unit time. The effects of the best response decision rule are also analyzed and compared to those of the smoothed best response. Our study shows that, when there is a perceived cost to take the vaccine, the smoothed best response is more effective in controlling the epidemic. However, when this cost is 0, the best response is the more efficient control. Hindawi Publishing Corporation 2014 2014-02-16 /pmc/articles/PMC3947699/ /pubmed/24693329 http://dx.doi.org/10.1155/2014/825734 Text en Copyright © 2014 F. Xu and R. Cressman. https://creativecommons.org/licenses/by/3.0/ 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. |
| repository_type |
Open Access Journal |
| institution_category |
Foreign Institution |
| institution |
US National Center for Biotechnology Information |
| building |
NCBI PubMed |
| collection |
Online Access |
| language |
English |
| format |
Online |
| author |
Xu, Fei Cressman, Ross |
| spellingShingle |
Xu, Fei Cressman, Ross Disease Control through Voluntary Vaccination Decisions Based on the Smoothed Best Response |
| author_facet |
Xu, Fei Cressman, Ross |
| author_sort |
Xu, Fei |
| title |
Disease Control through Voluntary Vaccination Decisions Based on the Smoothed Best Response |
| title_short |
Disease Control through Voluntary Vaccination Decisions Based on the Smoothed Best Response |
| title_full |
Disease Control through Voluntary Vaccination Decisions Based on the Smoothed Best Response |
| title_fullStr |
Disease Control through Voluntary Vaccination Decisions Based on the Smoothed Best Response |
| title_full_unstemmed |
Disease Control through Voluntary Vaccination Decisions Based on the Smoothed Best Response |
| title_sort |
disease control through voluntary vaccination decisions based on the smoothed best response |
| description |
We investigate game-theory based decisions on vaccination uptake and its effects on the spread of an epidemic with nonlinear incidence rate. It is assumed that each individual's decision approximates his/her best response (called smoothed best response) in that this person chooses to take the vaccine based on its cost-benefit analysis. The basic reproduction number of the resultant epidemic model is calculated and used to characterize the existence and stability of the disease-free and endemic equilibria of the model. The effects on the spread and control of the epidemic are revealed in terms of the sensitivity of the response to changes in costs and benefits, in the “cost” of the vaccination, and in the proportion of susceptible individuals who are faced with the decision of whether or not to be vaccinated per unit time. The effects of the best response decision rule are also analyzed and compared to those of the smoothed best response. Our study shows that, when there is a perceived cost to take the vaccine, the smoothed best response is more effective in controlling the epidemic. However, when this cost is 0, the best response is the more efficient control. |
| publisher |
Hindawi Publishing Corporation |
| publishDate |
2014 |
| url |
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3947699/ |
| _version_ |
1612065857217757184 |