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 Erd{o}s-R\'enyi hypernetworks, and on infinite hyperlines. These expressions are exact, as they are derived without making any approximation.
No takes yet. Share an insight, caveat, or question.
Fibich et al. (2024) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: