Bistable traveling waves for monotone semiflows with applications

被引：178
作者：
Fang, Jian [1 ,2 ]
Zhao, Xiao-Qiang [2 ]
机构：
[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China
[2] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada
来源：
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2015年 / 17卷 / 09期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Monotone semiflows; traveling waves; bistable dynamics; periodic habitat; FRONT PROPAGATION; DIFFUSION EQUATIONS; CONVOLUTION MODEL; STABLE EQUILIBRIA; SPREADING SPEEDS; STABILITY; EXISTENCE; SYSTEMS; BEHAVIOR; GROWTH;
D O I：
10.4171/JEMS/556
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is devoted to the study of traveling waves for monotone evolution systems of bistable type. In an abstract setting, we establish the existence of traveling waves for discrete time and continuous-time monotone semiflows in homogeneous and periodic habitats. The results are then extended to monotone semiflows with weak compactness. We also apply the theory to four classes of evolution systems.
引用
收藏
页码：2243 / 2288
页数：46
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