The contact process on a bipartite spatial network

TL;DR

This paper analyzes the contact process on a bipartite hypergraph with random connections, identifying survival strategies and epidemic probabilities across various parameters.

Contribution

It introduces a model with mark-dependent thresholds on bipartite hypergraphs and characterizes survival strategies and epidemic asymptotics.

Findings

Identifies dominant survival strategies in different parameter regimes

Provides asymptotic estimates for epidemic probability

Analyzes effects of asymmetric infection rates and degree distributions

Abstract

We study the contact process on a random bipartite connection hypergraph generated from two Poisson point processes, with mark-dependent connection thresholds. For asymmetric infection rates and asymmetric power law tail decays of the two degree distributions, we determine the dominant survival strategies in all parameter regimes and provide asymptotics for the epidemic probability up to logarithmic factors.