Distance-dependent chase-escape on trees

Authors

  • Saraí Hernández-Torres Instituto de Matemáticas, UNAM
  • Matthew Junge Baruch College
  • Naina Ray
  • Nidhi Ray

DOI:

https://doi.org/10.53733/342

Keywords:

growth process, phase transition

Abstract

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

 

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Author Biographies

Saraí Hernández-Torres, Instituto de Matemáticas, UNAM

Sarai Hernandez-Torres
Instituto de Matemáticas, UNAM,
Mexico City 04510,
Mexico
saraiht@im.unam.mx

Matthew Junge, Baruch College

Matthew Junge
Department of Mathematics,
Baruch College,
New York, NY 10010,
USA
Matthew.Junge@baruch.cuny.edu

Naina Ray

Naina Ray,
USA
nainaray14@gmail.com

Nidhi Ray

Nidhi Ray,
USA
nidhiray@yahoo.com

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Published

31-05-2024

How to Cite

Hernández-Torres, S., Junge, M., Ray, N., & Ray, N. (2024). Distance-dependent chase-escape on trees. New Zealand Journal of Mathematics, 55, 31–41. https://doi.org/10.53733/342

Issue

Section

Articles