Explicit solutions of the Bass and susceptible-infected models on hypernetworks.
basic_science · Level V
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- Record sourced from PubMed, PMID 39690667.
- Also identified by DOI 10.1103/PhysRevE.110.054306.
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Abstract
We analyze the Bass model and the susceptible-infected model on hypernetworks with three-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.