Range limits in spatially explicit models of quantitative traits

被引：3

作者：

Miller, Judith R. ^{[1
]}

Zeng, Huihui ^{[2
]}

机构：

[1] Georgetown Univ, Deptartment Math & Stat, Washington, DC 20057 USA

[2] Tsinghua Univ, Ctr Math Sci, Beijing 100084, Peoples R China

来源：

JOURNAL OF MATHEMATICAL BIOLOGY | 2014年 / 68卷 / 1-2期

基金：

美国国家科学基金会;

关键词：

GENE FLOW; DENSITY REGULATION; SPECIES RANGE; SELECTION; EVOLUTION; ADAPTATION; ABUNDANCE; RESPONSES; DISTANCE;

D O I：

10.1007/s00285-012-0628-4

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In an influential paper, Kirkpatrick and Barton (Am Nat 150:1-23 1997) presented a system of diffusive partial differential equations modeling the joint evolution of population density and the mean of a quantitative trait when the trait optimum varies over a continuous spatial domain. We present a stability theorem for steady states of a simplified version of the system, originally studied in Kirkpatrick and Barton (Am Nat 150:1-23 1997). We also present a derivation of the system.

引用

页码：207 / 234

页数：28

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