Travelling Waves in a Nonlocal Reaction-Diffusion Equation as a Model for a Population Structured by a Space Variable and a Phenotypic Trait

被引：56

作者：

Alfaro, Matthieu ^{[1
]}

Coville, Jerome ^{[2
]}

Raoul, Gael ^{[3
]}

机构：

[1] Univ Montpellier 2, I3M, Montpellier, France

[2] INRA, Equipe BIOSP, Avignon, France

[3] CNRS, UMR 5175, Ctr Ecol Fonct & Evolut, F-34293 Montpellier, France

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2013年 / 38卷 / 12期

关键词：

Nonlocal reaction-diffusion equation; Structured population; Travelling waves; PRINCIPAL EIGENVALUE; ELLIPTIC-OPERATORS; FRONT PROPAGATION; EVOLUTION; INVASION; ENVIRONMENT; DYNAMICS; RANGE;

D O I：

10.1080/03605302.2013.828069

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a nonlocal reaction-diffusion equation as a model for a population structured by a space variable and a phenotypic trait. To sustain the possibility of invasion in the case where an underlying principal eigenvalue is negative, we investigate the existence of travelling wave solutions. We identify a minimal speed c*>0, and prove the existence of waves when c >= c* and the nonexistence when 0 <= c<c*.

引用

页码：2126 / 2154

页数：29

共 44 条

[1] Rapid traveling waves in the nonlocal Fisher equation connect two unstable states [J].