Abstract
We study the contact process on a random bipartite graph 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 pa- rameter regimes and provide asymptotics for the epidemic probability up to logarithmic factors.
Type
Publication
Preprint
Phase diagram in \(\gamma_1, \gamma_2\) and regimes along \(a > 0\)
One step to star
Zero step to star
One step to bridge
One step to direct