title: Range limits in spatially explicit models of quantitative traits.
abstract: 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.
authors.affiliation: Deptartment of Mathematics and Statistics, Georgetown University, Washington, DC, 20057, USA.
authors.forename: Judith R
authors.initials: JR
authors.lastname: Miller
authors.forename: Huihui
authors.initials: H
authors.lastname: Zeng
mesh_terms: D000818:Animals; D005075:Biological Evolution; D003198:Computer Simulation; D008957:Models, Genetic; D011156:Population Density; D019655:Quantitative Trait, Heritable