Modified Epidemic Diffusive Process on the Apollonian Network

Autor:	Alencar, D. S. M., Macedo-Filho, A., Alves, T. F. A., Alves, G. A., Ferreira, R. S., Lima, F. W. S.
Rok vydání:	2021
Předmět:	Condensed Matter - Statistical Mechanics Physics - Physics and Society
Druh dokumentu:	Working Paper
Popis:	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 $D_{A}$ and $D_{B}$, for the classes A and B, respectively, and obeying three diffusive regimes, i.e., $D_{A}D_{B}$. 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 $\beta/\nu=0.66(1)$, $1/\nu=0.46(2)$, and $\gamma/\nu=-0.24(2)$ 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. Comment: 17 pages, 5 figures. arXiv admin note: text overlap with arXiv:2004.08002
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2110.14141 Zobrazit plný text záznamu View this record from Arxiv