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The impact of vaccine success and awareness on epidemic dynamics
The role of vaccine success is introduced into an epidemic spreading model consisting of three states: susceptible, infectious, and vaccinated. Moreover, the effect of three types, namely, contact, local, and global, of infection awareness and immunization awareness is also taken into consideration....
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
AIP Publishing LLC
2016
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7112448/ https://www.ncbi.nlm.nih.gov/pubmed/27907992 http://dx.doi.org/10.1063/1.4966945 |
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author | Juang, Jonq Liang, Yu-Hao |
author_facet | Juang, Jonq Liang, Yu-Hao |
author_sort | Juang, Jonq |
collection | PubMed |
description | The role of vaccine success is introduced into an epidemic spreading model consisting of three states: susceptible, infectious, and vaccinated. Moreover, the effect of three types, namely, contact, local, and global, of infection awareness and immunization awareness is also taken into consideration. The model generalizes those considered in Pastor-Satorras and Vespignani [Phys. Rev. E 63, 066117 (2001)], Pastor-Satorras and Vespignani [Phys. Rev. E 65, 036104 (2002)], Moreno et al. [Eur. Phys. J. B 26, 521–529 (2002)], Wu et al. [Chaos 22, 013101 (2012)], and Wu et al. [Chaos 24, 023108 (2014)]. Our main results contain the following. First, the epidemic threshold is explicitly obtained. In particular, we show that, for any initial conditions, the epidemic eventually dies out regardless of what other factors are whenever some type of immunization awareness is considered, and vaccination has a perfect success. Moreover, the threshold is independent of the global type of awareness. Second, we compare the effect of contact and local types of awareness on the epidemic thresholds between heterogeneous networks and homogeneous networks. Specifically, we find that the epidemic threshold for the homogeneous network can be lower than that of the heterogeneous network in an intermediate regime for intensity of contact infection awareness while it is higher otherwise. In summary, our results highlight the important and crucial roles of both vaccine success and contact infection awareness on epidemic dynamics. |
format | Online Article Text |
id | pubmed-7112448 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2016 |
publisher | AIP Publishing LLC |
record_format | MEDLINE/PubMed |
spelling | pubmed-71124482020-04-02 The impact of vaccine success and awareness on epidemic dynamics Juang, Jonq Liang, Yu-Hao Chaos Regular Articles The role of vaccine success is introduced into an epidemic spreading model consisting of three states: susceptible, infectious, and vaccinated. Moreover, the effect of three types, namely, contact, local, and global, of infection awareness and immunization awareness is also taken into consideration. The model generalizes those considered in Pastor-Satorras and Vespignani [Phys. Rev. E 63, 066117 (2001)], Pastor-Satorras and Vespignani [Phys. Rev. E 65, 036104 (2002)], Moreno et al. [Eur. Phys. J. B 26, 521–529 (2002)], Wu et al. [Chaos 22, 013101 (2012)], and Wu et al. [Chaos 24, 023108 (2014)]. Our main results contain the following. First, the epidemic threshold is explicitly obtained. In particular, we show that, for any initial conditions, the epidemic eventually dies out regardless of what other factors are whenever some type of immunization awareness is considered, and vaccination has a perfect success. Moreover, the threshold is independent of the global type of awareness. Second, we compare the effect of contact and local types of awareness on the epidemic thresholds between heterogeneous networks and homogeneous networks. Specifically, we find that the epidemic threshold for the homogeneous network can be lower than that of the heterogeneous network in an intermediate regime for intensity of contact infection awareness while it is higher otherwise. In summary, our results highlight the important and crucial roles of both vaccine success and contact infection awareness on epidemic dynamics. AIP Publishing LLC 2016-11 2016-11-04 /pmc/articles/PMC7112448/ /pubmed/27907992 http://dx.doi.org/10.1063/1.4966945 Text en © 2016 Author(s) Published by AIP Publishing. 1054-1500/2016/26(11)/113105/11/$30.00 All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license ( http://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Regular Articles Juang, Jonq Liang, Yu-Hao The impact of vaccine success and awareness on epidemic dynamics |
title | The impact of vaccine success and awareness on epidemic
dynamics |
title_full | The impact of vaccine success and awareness on epidemic
dynamics |
title_fullStr | The impact of vaccine success and awareness on epidemic
dynamics |
title_full_unstemmed | The impact of vaccine success and awareness on epidemic
dynamics |
title_short | The impact of vaccine success and awareness on epidemic
dynamics |
title_sort | impact of vaccine success and awareness on epidemic
dynamics |
topic | Regular Articles |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7112448/ https://www.ncbi.nlm.nih.gov/pubmed/27907992 http://dx.doi.org/10.1063/1.4966945 |
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