title: Generalized epidemic process on modular networks.
abstract: Social reinforcement and modular structure are two salient features observed in the spreading of behavior through social contacts. In order to investigate the interplay between these two features, we study the generalized epidemic process on modular networks with equal-sized finite communities and adjustable modularity. Using the analytical approach originally applied to clique-based random networks, we show that the system exhibits a bond-percolation type continuous phase transition for weak social reinforcement, whereas a discontinuous phase transition occurs for sufficiently strong social reinforcement. Our findings are numerically verified using the finite-size scaling analysis and the crossings of the bimodality coefficient.
authors.affiliation: Department of Physics, Korea Advanced Institute of Science and Technology, Daejeon 305-701, Korea.
authors.forename: Kihong
authors.initials: K
authors.lastname: Chung
authors.affiliation: Department of Physics, Korea Advanced Institute of Science and Technology, Daejeon 305-701, Korea.
authors.forename: Yongjoo
authors.initials: Y
authors.lastname: Baek
authors.affiliation: Department of Physics, Korea Advanced Institute of Science and Technology, Daejeon 305-701, Korea.
authors.forename: Daniel
authors.initials: D
authors.lastname: Kim
authors.affiliation: Department of Physics Education, Chosun University, Gwangju 501-759, Korea.
authors.forename: Meesoon
authors.initials: M
authors.lastname: Ha
authors.affiliation: Department of Physics and Institute for the BioCentury, Korea Advanced Institute of Science and Technology, Daejeon 305-701, Korea and APCTP, Pohang, Gyeongbuk 790-784, Korea.
authors.forename: Hawoong
authors.initials: H
authors.lastname: Jeong
mesh_terms: D003198:Computer Simulation; D058872:Epidemics / Q000706:statistics & numerical data*; D006801:Humans; D033181:Information Dissemination / Q000379:methods*; D015233:Models, Statistical; D015995:Prevalence; D018570:Risk Assessment / Q000379:methods*; D012919:Social Behavior; D060756:Social Networking