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Cascading dynamics in modular networks

2007/03/23 by Aram Galstyan, Paul Cohen, Paul R. Cohen
Medicine · Physics and Astronomy · #Complex Network Analysis Techniques #Mathematical and Theoretical Epidemiology and Ecology Models #Opinion Dynamics and Social Influence #cond-mat.dis-nn #cond-mat.stat-mech #physics.soc-ph

paper · pdf · doi:10.1103/physreve.75.036109

published as Phys. Rev. E 75, 036109 (2007) · 5 pages, 4 figures

openalex publication_date 2007/03/23 · arxiv created 2008/03/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we study a simple cascading process in a structured heterogeneous population, namely, a network composed of two loosely coupled communities. We demonstrate that under certain conditions the cascading dynamics in such a network has a two-tiered structure that characterizes activity spreading at different rates in the communities. We study the dynamics of the model using both simulations and an analytical approach based on annealed approximation and obtain good agreement between the two. Our results suggest that network modularity might have implications in various applications, such as epidemiology and viral marketing.

Citations