Chase-escape on the configuration model

Chase-escape is a competitive growth process in which red particles spread to adjacent empty sites according rate-λ Poisson while being chased and consumed by blue rate-1 process. Given growing sequence of finite graphs, the critical rate λc largest value λ for fails reach positive fraction vertices with high probability. We provide conjecturally sharp lower bound an implicit upper on supercritical random graphs sampled from configuration model independent identically distributed degrees second moment. additionally show that expected number occupied undergoes phase transition identify location this transition.