Evolution with mass extinction on T plus d

被引：0

作者：

Grejo, Carolina ^{[1
]}

Lopes, Fabio ^{[2
]}

Machado, Fabio ^{[3
]}

Roldan-Correa, Alejandro ^{[4
]}

机构：

[1] Univ Sao Paulo, Inst Math & Comp Sci, Sao Carlos, Brazil

[2] Univ Tecnol Metropolitana, Dept Matemat, Santiago, Chile

[3] Univ Sao Paulo, Inst Math & Stat, Sao Paulo, Brazil

[4] Univ Antioquia, Inst Math, Medellin, Colombia

来源：

BRAZILIAN JOURNAL OF PROBABILITY AND STATISTICS | 2022年 / 36卷 / 04期

基金：

巴西圣保罗研究基金会;

关键词：

Branching processes; evolution; mutation; fitness;

D O I：

10.1214/22-BJPS554

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We propose a stochastic model for evolution through mutation and natural selection of a population that evolves on a T+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.

引用

页码：771 / 776

页数：6

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