English

Distance-dependent chase-escape on trees

Probability 2022-11-16 v2

Abstract

We give a necessary and sufficient condition for species coexistence in a parasite-host growth process on infinite dd-ary trees. The novelty of this work is that the spreading and death rates for hosts depend on the distance to the nearest parasite.

Keywords

Cite

@article{arxiv.2209.09876,
  title  = {Distance-dependent chase-escape on trees},
  author = {Sarai Hernandez-Torres and Matthew Junge and Naina Ray and Nidhi Ray},
  journal= {arXiv preprint arXiv:2209.09876},
  year   = {2022}
}

Comments

9 pages, 3 figures

R2 v1 2026-06-28T01:45:33.283Z