2021/10/27 by D. S. M. Alencar, A. Macedo-Filho, Alencar, D. S. M. +9
Physics and Astronomy · #FOS: Physical sciences #Physics and Society (physics.soc-ph) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #physics.soc-ph
paper · pdf · doi:10.48550/arxiv.2110.14141
17 pages, 5 figures. arXiv admin note: text overlap with arXiv:2004.08002
arxiv created 2021/10/27 · arxiv updated 2021/10/28
We present an analysis of an epidemic spreading process on the Apollonian network that can describe an epidemic spreading in a non-sedentary population. The modified diffusive epidemic process was employed in this analysis in a computational context by means of the Monte Carlo method. Our model has been useful 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 DA and DB, for the classes A and B, respectively, and obeying three diffusive regimes, i.e., DA<DB, DA=DB and DA>DB. 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 exhibit continuous phase transition to an absorbing state with a set of critical exponents given by β/ν=0.66(1), 1/ν=0.46(2), and γ/ν=-0.24(2) common 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.