Existence of Waves for a Nonlocal Reaction-Diffusion Equation

被引：18
|
作者：
Demin, I. [1 ]
Volpert, V. [1 ]
机构：
[1] Univ Lyon 1, CNRS, Inst Camille Jordan, UMR 5208, F-69622 Villeurbanne, France
来源：
MATHEMATICAL MODELLING OF NATURAL PHENOMENA | 2010年 / 5卷 / 05期
关键词：
integro-differential equation; travelling waves; Leray-Schauder method; TRAVELING-WAVES; FRONTS; MODEL;
D O I：
10.1051/mmnp/20105506
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this work we study a nonlocal reaction-diffusion equation arising in population dynamics. The integral term in the nonlinearity describes nonlocal stimulation of reproduction. We prove existence of travelling wave solutions by the Leray-Schauder method using topological degree for Fredholm and proper operators and special a priori estimates of solutions in weighted Holder spaces.
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页码：80 / 101
页数：22
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