The diffusive epidemic process on Barabasi–Albert networks.

dc.contributor.authorAlves, Tayroni Francisco de Alencar
dc.contributor.authorAlves, Gladstone de Alencar
dc.contributor.authorMacedo Filho, Antonio de
dc.contributor.authorFerreira, Ronan Silva
dc.contributor.authorLima, Francisco Welington de Sousa
dc.date.accessioned2022-02-25T14:45:45Z
dc.date.available2022-02-25T14:45:45Z
dc.date.issued2021pt_BR
dc.description.abstractWe present a modified diffusive epidemic process (DEP) that has a finite threshold on scale-free graphs, motivated by the COVID-19 pandemic. The DEP describes the epidemic spreading of a disease in a non-sedentary population, which can describe the spreading of a real disease. Our main modification is to use the Gillespie algorithm with a reaction time tmax, exponentially distributed with mean inversely proportional to the node population in order to model the individuals’ interactions. Our simulation results of the modified model on Barabasi–Albert networks are compatible with a continuous absorbing-active phase transition when increasing the average concentration. The transition obeys the mean-field critical exponents β = 1, γ = 0 and ν⊥ = 1/2. In addition, the system presents logarithmic corrections with pseudo-exponents β = γ = −3/2 on the order parameter and its fluctuations, respectively. The most evident implication of our simulation results is if the individuals avoid social interactions in order to not spread a disease, this leads the system to have a finite threshold in scale-free graphs.pt_BR
dc.identifier.citationALVES, T. D. de. A. et al. The diffusive epidemic process on Barabasi–Albert networks. Journal of Statistical Mechanics-Theory and Experiment, v. 2021, artigo 043203, 2021. Disponível em: <https://iopscience.iop.org/article/10.1088/1742-5468/abefe4>. Acesso em: 12 set. 2021.pt_BR
dc.identifier.doihttps://doi.org/10.1088/1742-5468/abefe4pt_BR
dc.identifier.issn1742-5468
dc.identifier.urihttp://www.repositorio.ufop.br/jspui/handle/123456789/14576
dc.identifier.uri2https://iopscience.iop.org/article/10.1088/1742-5468/abefe4pt_BR
dc.language.isoen_USpt_BR
dc.rightsrestritopt_BR
dc.subjectAbsorbing statespt_BR
dc.subjectAgent-based modelspt_BR
dc.subjectCritical exponents and amplitudespt_BR
dc.subjectRandom graphspt_BR
dc.subjectNetworkspt_BR
dc.titleThe diffusive epidemic process on Barabasi–Albert networks.pt_BR
dc.typeArtigo publicado em periodicopt_BR
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