SPREADING SPEEDS AND TRANSITION FRONTS OF LATTICE KPP EQUATIONS IN TIME HETEROGENEOUS MEDIA

被引：24
|
作者：
Cao, Feng [1 ]
Shen, Wenxian [2 ]
机构：
[1] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Jiangsu, Peoples R China
[2] Auburn Univ, Dept Math & Stat, Auburn, AL 36849 USA
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2017年 / 37卷 / 09期
关键词：
Spreading speed intervals; transition fronts; lattice KPP equations; time heterogeneous media; critical fronts; REACTION-DIFFUSION EQUATIONS; GENERALIZED PROPAGATING SPEEDS; NONLOCAL MONOSTABLE EQUATIONS; SPACE PERIODIC HABITATS; TRAVELING-WAVES; VARIATIONAL PRINCIPLE; UNIQUENESS; EXISTENCE; MODELS; STABILITY;
D O I：
10.3934/dcds.2017202
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The current paper is devoted to the study of spreading speeds and transition fronts of lattice KPP equations in time heterogeneous media. We first prove the existence, uniqueness, and stability of spatially homogeneous entire positive solutions. Next, we establish lower and upper bounds of the (generalized) spreading speed intervals. Then, by constructing appropriate sub-solutions and super-solutions, we show the existence and continuity of transition fronts with given front position functions. Also, we prove the existence of some kind of critical front.
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页码：4697 / 4727
页数：31
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