THE PERIODIC PATCH MODEL FOR POPULATION DYNAMICS WITH FRACTIONAL DIFFUSION

被引：39

作者：

Berestycki, Henri ^{[1
]}

Roquejoffre, Jean-Michel ^{[2
]}

Rossi, Luca ^{[3
]}

机构：

[1] CAMS, Ecole Hautes Etud Sci Sociales, 54 Bd Raspail, F-75270 Paris, France

[2] Univ Paul Sabatier, Inst Math, F-31062 Toulouse 4, France

[3] Univ Padua, Dipartimento Matemat Pura Applicata, I-35121 Padua, Italy

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2011年 / 4卷 / 01期

关键词：

Fractional diffusion; reaction-diffusion equation; KPP nonlinearity; persistence;

D O I：

10.3934/dcdss.2011.4.1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Fractional diffusions arise in the study of models from population dynamics. In this paper, we derive a class of integro-differential reaction-diffusion equations from simple principles. We then prove an approximation result for the first eigenvalue of linear integro-differential operators of the fractional diffusion type, and we study from that the dynamics of a population in a fragmented environment with fractional diffusion.

引用

页码：1 / 13

页数：13

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