Explicit solutions of the Bass and SI models on hypernetworks

2024/07/16 by Fibich, Gadi, Restrepo, Juan G., Rothmann, Guy
#FOS: Physical sciences #Physics and Society (physics.soc-ph)

paper · doi:10.48550/arxiv.2407.12123

Abstract

We analyze the Bass model and the Susceptible-Infected (SI) model on hypergraphs with 3-body interactions. We derive the master equations for general hypernetworks, and use them to obtain explicit expressions for the expected adoption/infection level on infinite complete hypernetworks, infinite Erdős-Rényi hypernetworks, and on infinite hyperlines. These expressions are exact, as they are derived without making any approximation.

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