English

Evolution with mass extinction on $\mathbb{T}_d^+$

Probability 2021-04-13 v3

Abstract

We propose a stochastic model for evolution through mutation and natural selection of a population that evolves on a \bbTd+\bbT_d^+ tree. We think of this model as a way of describing the evolution fitness landscape of a population. We obtain sharp and distinct conditions on the set of parameters for extinction and survival.

Keywords

Cite

@article{arxiv.1710.11150,
  title  = {Evolution with mass extinction on $\mathbb{T}_d^+$},
  author = {Carolina Grejo and Fabio Lopes and Fábio Machado and Alejandro Roldán-Correa},
  journal= {arXiv preprint arXiv:1710.11150},
  year   = {2021}
}

Comments

9 pages

R2 v1 2026-06-22T22:30:18.725Z