Model of phenotypic evolution in hermaphroditic populations

被引：0
|
作者：
Ryszard Rudnicki
Paweł Zwoleński
机构：
[1] Polish Academy of Sciences,Institute of Mathematics
来源：
Journal of Mathematical Biology | 2015年 / 70卷
关键词：
Measure valued process; Phenotypic evolution; Sexual population model; Nonlinear transport equation; Asymptotic stability; Primary 47J35; Secondary 34G20; 60K35; 92D15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider an individual based model of phenotypic evolution in hermaphroditic populations which includes random and assortative mating of individuals. By increasing the number of individuals to infinity we obtain a nonlinear transport equation, which describes the evolution of phenotypic distribution. The main result of the paper is a theorem on asymptotic stability of trait distribution. This theorem is applied to models with the offspring trait distribution given by additive and multiplicative random perturbations of the parental mean trait.
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页码：1295 / 1321
页数：26
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