Critical properties of the SIS model on the clustered homophilic network

F L Santos; M L Almeida; E L Albuquerque; A Macedo-Filho; M L Lyra; U L Fulco

doi:10.1016/j.physa.2020.125067

Critical properties of the SIS model on the clustered homophilic network

Physica A. 2020 Dec 1:559:125067. doi: 10.1016/j.physa.2020.125067. Epub 2020 Aug 14.

Authors

F L Santos¹, M L Almeida¹, E L Albuquerque¹, A Macedo-Filho², M L Lyra³, U L Fulco¹

Affiliations

¹ Departamento de Biofísica e Farmacologia, Universidade Federal do Rio Grande do Norte, 59072-970, Natal-RN, Brazil.
² Universidade Estadual do Piauí, 64260-000, Piripiri-PI, Brazil.
³ Instituto de Física, Universidade Federal de Alagoas, 57072-900, Maceió-AL, Brazil.

Abstract

The spreading of epidemics in complex networks has been a subject of renewed interest of several scientific branches. In this regard, we have focused our attention on the study of the susceptible-infected-susceptible (SIS) model, within a Monte Carlo numerical simulation approach, representing the spreading of epidemics in a clustered homophilic network. The competition between infection and recovery that drives the system either to an absorbing or to an active phase is analyzed. We estimate the static critical exponents $β ∕ ν$ , $1 ∕ ν$ and $γ ∕ ν$ , through finite-size scaling (FSS) analysis of the order parameter $ρ$ and its fluctuations, showing that they differ from those associated with the contact process on a scale-free network, as well as those predicted by the heterogeneous mean-field theory.

Keywords: Critical properties; Epidemic system; Homophilic network; SIS model.