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Title: The diffusive epidemic process on Barabasi–Albert networks.
Authors: Alves, Tayroni Francisco de Alencar
Alves, Gladstone de Alencar
Macedo Filho, Antonio de
Ferreira, Ronan Silva
Lima, Francisco Welington de Sousa
Keywords: Absorbing states
Agent-based models
Critical exponents and amplitudes
Random graphs
Issue Date: 2021
Citation: ALVES, 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: <>. Acesso em: 12 set. 2021.
Abstract: We 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.
ISSN: 1742-5468
Appears in Collections:DECEA - Artigos publicados em periódicos

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