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Impact of the distribution of recovery rates on disease spreading in complex networks

We study a general epidemic model with arbitrary recovery rate distributions. This simple deviation from the standard setup is sufficient to prove that heterogeneity in the dynamical parameters can be as important as the more studied structural heterogeneity. Our analytical solution is able to predi...

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Detalles Bibliográficos
Autores principales: de Arruda, Guilherme Ferraz, Petri, Giovanni, Rodrigues, Francisco A., Moreno, Yamir
Formato: Online Artículo Texto
Lenguaje:English
Publicado: American Physical Society 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7217552/
http://dx.doi.org/10.1103/PhysRevResearch.2.013046
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author de Arruda, Guilherme Ferraz
Petri, Giovanni
Rodrigues, Francisco A.
Moreno, Yamir
author_facet de Arruda, Guilherme Ferraz
Petri, Giovanni
Rodrigues, Francisco A.
Moreno, Yamir
author_sort de Arruda, Guilherme Ferraz
collection PubMed
description We study a general epidemic model with arbitrary recovery rate distributions. This simple deviation from the standard setup is sufficient to prove that heterogeneity in the dynamical parameters can be as important as the more studied structural heterogeneity. Our analytical solution is able to predict the shift in the critical properties induced by heterogeneous recovery rates. We find that the critical value of infectivity tends to be smaller than the one predicted by quenched mean-field approaches in the homogeneous case and that it can be linked to the variance of the recovery rates. Our findings also illustrate the role of dynamical-structural correlations, where we allow a power-law network to dynamically behave as a homogeneous structure by an appropriate tuning of its recovery rates. Overall, our results demonstrate that heterogeneity in the recovery rates, eventually in all dynamical parameters, is as important as the structural heterogeneity.
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spelling pubmed-72175522020-05-13 Impact of the distribution of recovery rates on disease spreading in complex networks de Arruda, Guilherme Ferraz Petri, Giovanni Rodrigues, Francisco A. Moreno, Yamir Phys Rev Res Articles We study a general epidemic model with arbitrary recovery rate distributions. This simple deviation from the standard setup is sufficient to prove that heterogeneity in the dynamical parameters can be as important as the more studied structural heterogeneity. Our analytical solution is able to predict the shift in the critical properties induced by heterogeneous recovery rates. We find that the critical value of infectivity tends to be smaller than the one predicted by quenched mean-field approaches in the homogeneous case and that it can be linked to the variance of the recovery rates. Our findings also illustrate the role of dynamical-structural correlations, where we allow a power-law network to dynamically behave as a homogeneous structure by an appropriate tuning of its recovery rates. Overall, our results demonstrate that heterogeneity in the recovery rates, eventually in all dynamical parameters, is as important as the structural heterogeneity. American Physical Society 2020-01-14 2020-01 /pmc/articles/PMC7217552/ http://dx.doi.org/10.1103/PhysRevResearch.2.013046 Text en Published by the American Physical Society https://creativecommons.org/licenses/by/4.0/ Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.
spellingShingle Articles
de Arruda, Guilherme Ferraz
Petri, Giovanni
Rodrigues, Francisco A.
Moreno, Yamir
Impact of the distribution of recovery rates on disease spreading in complex networks
title Impact of the distribution of recovery rates on disease spreading in complex networks
title_full Impact of the distribution of recovery rates on disease spreading in complex networks
title_fullStr Impact of the distribution of recovery rates on disease spreading in complex networks
title_full_unstemmed Impact of the distribution of recovery rates on disease spreading in complex networks
title_short Impact of the distribution of recovery rates on disease spreading in complex networks
title_sort impact of the distribution of recovery rates on disease spreading in complex networks
topic Articles
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7217552/
http://dx.doi.org/10.1103/PhysRevResearch.2.013046
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