PERSISTENCE AND PROPAGATION IN PERIODIC REACTION-DIFFUSION MODELS

被引:8
作者
Hamel, Francois [1 ]
Roques, Lionel
机构
[1] Aix Marseille Univ, CNRS, Cent Marseille, Inst Math Marseille,UMR 7373, F-13453 Marseille, France
来源
TAMKANG JOURNAL OF MATHEMATICS | 2014年 / 45卷 / 03期
基金
欧洲研究理事会;
关键词
D O I
10.5556/j.tkjm.45.2014.1656
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we consider Fisher-KPP reaction-diffusion models in periodic environments. We review some results on the questions of species persistence and propagation of pulsating traveling waves. We study the role of the heterogeneities and the fragmentation of the environment on the persistence and on the propagation speeds.
引用
收藏
页码:217 / 228
页数:12
相关论文
共 51 条
[1]   NUMBER OF SOLUTIONS OF CERTAIN SEMI-LINEAR ELLIPTIC PROBLEMS [J].
BERESTYCKI, H .
JOURNAL OF FUNCTIONAL ANALYSIS, 1981, 40 (01) :1-29
[2]   Analysis of the periodically fragmented environment model: II - biological invasions and pulsating travelling fronts [J].
Berestycki, H ;
Hamel, F ;
Roques, L .
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2005, 84 (08) :1101-1146
[3]   Analysis of the periodically fragmented environment model: I - Species persistence [J].
Berestycki, H ;
Hamel, F ;
Roques, L .
JOURNAL OF MATHEMATICAL BIOLOGY, 2005, 51 (01) :75-113
[4]  
Berestycki H, 2005, J EUR MATH SOC, V7, P173
[5]   Elliptic eigenvalue problems with large drift and applications to nonlinear propagation phenomena [J].
Berestycki, H ;
Hamel, F ;
Nadirashvili, N .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2005, 253 (02) :451-480
[6]   Front propagation in periodic excitable media [J].
Berestycki, H ;
Hamel, F .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2002, 55 (08) :949-1032
[7]   Asymptotic spreading in heterogeneous diffusive excitable media [J].
Berestycki, Henri ;
Hamel, Francois ;
Nadin, Gregoire .
JOURNAL OF FUNCTIONAL ANALYSIS, 2008, 255 (09) :2146-2189
[8]  
BRAMSON M, 1983, MEM AM MATH SOC, V44, P1
[9]  
Cantrell R. S., 2004, SPATIAL ECOLOGY VIA
[10]  
Ducrot A., 2014, T AM MATH S IN PRESS