SMALL POPULATIONS CORRECTIONS FOR SELECTION-MUTATION MODELS

被引：5

作者：

Jabin, Pierre-Emmanuel ^{[1
,2
]}

机构：

[1] Univ Maryland, CSCAMM, College Pk, MD 20742 USA

[2] Univ Maryland, Dept Math, College Pk, MD 20742 USA

来源：

NETWORKS AND HETEROGENEOUS MEDIA | 2012年 / 7卷 / 04期

关键词：

Adaptive dynamics; Hamilton-Jacobi equation with constraints; Dirac concentration; small populations; STATIONARY DISTRIBUTIONS; ADAPTIVE DYNAMICS; LOTKA-VOLTERRA; CONVERGENCE; ADAPTATION; STRATEGIES; EQUATIONS;

D O I：

10.3934/nhm.2012.7.805

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider integro-differential models describing the evolution of a population structured by a quantitative trait. Individuals interact competitively, creating a strong selection pressure on the population. On the other hand, mutations are assumed to be small. Following the formalism of [20], this creates concentration phenomena, typically consisting in a sum of Dirac masses slowly evolving in time. We propose a modification to those classical models that takes the effect of small populations into accounts and corrects some abnormal behaviours.

引用

页码：805 / 836

页数：32

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