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.
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页码：1 / 13
页数：13
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