Explicit solutions of the Bass and SI models on hypernetworks
Physics and Society
2024-07-18 v1
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 Erd\H{o}s-R\'enyi hypernetworks, and on infinite hyperlines. These expressions are exact, as they are derived without making any approximation.
Cite
@article{arxiv.2407.12123,
title = {Explicit solutions of the Bass and SI models on hypernetworks},
author = {Gadi Fibich and Juan G. Restrepo and Guy Rothmann},
journal= {arXiv preprint arXiv:2407.12123},
year = {2024}
}
Comments
arXiv admin note: text overlap with arXiv:2407.10816