ON SOME SPECTRAL PROBLEMS ARISING IN DYNAMIC POPULATIONS

被引：3

作者：

Henrot, Antoine ^{[1
]}

Laamri, El-Haj ^{[1
]}

Schmitt, Didier ^{[1
]}

机构：

[1] Univ Lorraine, CNRS, Inst Elie Cartan Nancy, F-54506 Vandoeuvre Les Nancy, France

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2012年 / 11卷 / 06期

关键词：

Spectral problem; predator-prey; optimal location;

D O I：

10.3934/cpaa.2012.11.2429

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a spectral problem related to a reaction-diffusion model where preys and predators do not live on the same area. We are interested in the optimal zone where a control should take place. First, we prove existence of an optimal domain in a natural class. Then, it seems plausible that the optimal domain is localized in the intersection of the living areas of the two species. We prove this fact in one dimension for small sized domains.

引用

页码：2429 / 2443

页数：15

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