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
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
收藏
页码:207 / 234
页数:28
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