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arXiv · 2107.10134

A multi-type branching process method for modelling complex contagion on clustered networks

Leah A. Keating·James P. Gleeson·David J. P. O'Sullivan
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Abstract

Complex contagion adoption dynamics are characterised by a node being more likely to adopt after multiple network neighbours have adopted. We show how to construct multi-type branching processes to approximate complex contagion adoption dynamics on networks with clique-based clustering. This involves tracking the evolution of a cascade via different classes of clique motifs that account for the different numbers of active, inactive and removed nodes. This discrete-time model assumes that active nodes become immediately and certainly removed in the next time step. This description allows for extensive Monte Carlo simulations (which are faster than network-based simulations), accurate analytical calculation of cascade sizes, determination of critical behaviour and other quantities of interest.

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Leah A. Keating, James P. Gleeson, David J. P. O'Sullivan. 2021-07-21. A multi-type branching process method for modelling complex contagion on clustered networks. https://doi.org/10.1103/physreve.105.034306

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