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arXiv · 1710.11150

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

Carolina Grejo·Fabio Lopes·Fábio Machado·Alejandro Roldán-Correa
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Abstract

We propose a stochastic model for evolution through mutation and natural selection of a population that evolves on a $\bbT_d^+$ 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.

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Carolina Grejo, Fabio Lopes, Fábio Machado, Alejandro Roldán-Correa. 2017-10-30. Evolution with mass extinction on $\mathbb{T}_d^+$. https://arxiv.org/abs/1710.11150

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