Critical properties of the SIS model on the clustered homophilic network

• Published in: Physica A Vol. 559; p. 125067
• Main Authors: Santos, F.L., Almeida, M.L., Albuquerque, E.L., Macedo-Filho, A., Lyra, M.L., Fulco, U.L.
• Format: Journal Article
• Language: English
• Published: Netherlands Elsevier B.V 01.12.2020
• Subjects: Critical properties; Epidemic system; Homophilic network; SIS model; Epidemic system; Homophilic network; SIS model; Critical properties
• ISSN: 0378-4371; 1873-2119; 0378-4371
• DOI: 10.1016/j.physa.2020.125067

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. •SIS model was performed in the clustered homophilic network (CHN).•Monte Carlo simulations was used to obtain the critical exponents.•The critical properties from the statistically stationary state are estimated.•The transition from absorbing state to the epidemic stationary state.•The unclustered homophilic network affects the critical exponents of the SIS model.