We prove that chase-escape with conversion on the complete graph undergoes a phase transition at equal fitness and derive simple asymptotic formulas for the extinction probability, the total number of converted sites, and the expected number of surviving sites.
Cite
@article{arxiv.2510.02446,
title = {Chase-escape with conversion on the complete graph},
author = {Matthew Junge and Sergio Rodríguez},
journal= {arXiv preprint arXiv:2510.02446},
year = {2025}
}