PERSISTENCE AND TIME PERIODIC POSITIVE SOLUTIONS OF DOUBLY NONLOCAL FISHER-KPP EQUATIONS IN TIME PERIODIC AND SPACE HETEROGENEOUS MEDIA

被引：4
|
作者：
Gao, Jianping [1 ,2 ]
Guo, Shangjiang [3 ]
Shen, Wenxian [2 ]
机构：
[1] Hunan Univ, Sch Math, Changsha 410082, Hunan, Peoples R China
[2] Auburn Univ, Dept Math & Stat, Auburn, AL 36849 USA
[3] China Univ Geosci, Sch Math & Phys, Wuhan 430074, Hubei, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2021年 / 26卷 / 05期
关键词：
Fisher-KPP equation; nonlocal diffusion; nonlocal reaction; uniform persistence; positive time periodic solution; time-space dependence; FRAGMENTED ENVIRONMENT MODEL; STEADY-STATE SOLUTIONS; TRAVELING-WAVES; MONOSTABLE EQUATIONS; DISPERSAL OPERATORS; SPREADING SPEEDS; EXISTENCE; UNIQUENESS; STABILITY; DYNAMICS;
D O I：
10.3934/dcdsb.2020199
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the asymptotic dynamics of Fisher-KPP equations with nonlocal dispersal operator and nonlocal reaction term in time periodic and space heterogeneous media. We first show the global existence and boundedness of nonnegative solutions. Next, we obtain some sufficient conditions ensuring the uniform persistence. Finally, we study the existence, uniqueness and global stability of positive time periodic solutions under several different conditions.
引用
收藏
页码：2645 / 2676
页数：32
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