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Modified diffusive epidemic process on Apollonian networks
We present an analysis of an epidemic spreading process on an Apollonian network that can describe an epidemic spreading in a non-sedentary population. We studied the modified diffusive epidemic process using the Monte Carlo method by computational analysis. Our model may be helpful for modeling sys...
Autores principales: | , , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer Netherlands
2023
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10147538/ https://www.ncbi.nlm.nih.gov/pubmed/37118345 http://dx.doi.org/10.1007/s10867-023-09634-2 |
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author | Alencar, David Filho, Antonio Alves, Tayroni Alves, Gladstone Ferreira, Ronan Lima, Francisco |
author_facet | Alencar, David Filho, Antonio Alves, Tayroni Alves, Gladstone Ferreira, Ronan Lima, Francisco |
author_sort | Alencar, David |
collection | PubMed |
description | We present an analysis of an epidemic spreading process on an Apollonian network that can describe an epidemic spreading in a non-sedentary population. We studied the modified diffusive epidemic process using the Monte Carlo method by computational analysis. Our model may be helpful for modeling systems closer to reality consisting of two classes of individuals: susceptible (A) and infected (B). The individuals can diffuse in a network according to constant diffusion rates [Formula: see text] and [Formula: see text] , for the classes A and B, respectively, and obeying three diffusive regimes, i.e., [Formula: see text] , [Formula: see text] , and [Formula: see text] . Into the same site i, the reaction occurs according to the dynamical rule based on Gillespie’s algorithm. Finite-size scaling analysis has shown that our model exhibits continuous phase transition to an absorbing state with a set of critical exponents given by [Formula: see text] , [Formula: see text] , and [Formula: see text] familiar to every investigated regime. In summary, the continuous phase transition, characterized by this set of critical exponents, does not have the same exponents of the mean-field universality class in both regular lattices and complex networks. |
format | Online Article Text |
id | pubmed-10147538 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2023 |
publisher | Springer Netherlands |
record_format | MEDLINE/PubMed |
spelling | pubmed-101475382023-05-01 Modified diffusive epidemic process on Apollonian networks Alencar, David Filho, Antonio Alves, Tayroni Alves, Gladstone Ferreira, Ronan Lima, Francisco J Biol Phys Research We present an analysis of an epidemic spreading process on an Apollonian network that can describe an epidemic spreading in a non-sedentary population. We studied the modified diffusive epidemic process using the Monte Carlo method by computational analysis. Our model may be helpful for modeling systems closer to reality consisting of two classes of individuals: susceptible (A) and infected (B). The individuals can diffuse in a network according to constant diffusion rates [Formula: see text] and [Formula: see text] , for the classes A and B, respectively, and obeying three diffusive regimes, i.e., [Formula: see text] , [Formula: see text] , and [Formula: see text] . Into the same site i, the reaction occurs according to the dynamical rule based on Gillespie’s algorithm. Finite-size scaling analysis has shown that our model exhibits continuous phase transition to an absorbing state with a set of critical exponents given by [Formula: see text] , [Formula: see text] , and [Formula: see text] familiar to every investigated regime. In summary, the continuous phase transition, characterized by this set of critical exponents, does not have the same exponents of the mean-field universality class in both regular lattices and complex networks. Springer Netherlands 2023-04-29 2023-09 /pmc/articles/PMC10147538/ /pubmed/37118345 http://dx.doi.org/10.1007/s10867-023-09634-2 Text en © The Author(s), under exclusive licence to Springer Nature B.V. 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
spellingShingle | Research Alencar, David Filho, Antonio Alves, Tayroni Alves, Gladstone Ferreira, Ronan Lima, Francisco Modified diffusive epidemic process on Apollonian networks |
title | Modified diffusive epidemic process on Apollonian networks |
title_full | Modified diffusive epidemic process on Apollonian networks |
title_fullStr | Modified diffusive epidemic process on Apollonian networks |
title_full_unstemmed | Modified diffusive epidemic process on Apollonian networks |
title_short | Modified diffusive epidemic process on Apollonian networks |
title_sort | modified diffusive epidemic process on apollonian networks |
topic | Research |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10147538/ https://www.ncbi.nlm.nih.gov/pubmed/37118345 http://dx.doi.org/10.1007/s10867-023-09634-2 |
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