Free Boundary Problems of a Mutualist Model with Nonlocal Diffusion

被引：6
|
作者：
Li, Lei [1 ]
Wang, Mingxin [2 ,3 ]
机构：
[1] Henan Univ Technol, Coll Sci, Zhengzhou 450001, Peoples R China
[2] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Henan, Peoples R China
[3] Harbin Inst Technol, Sch Math, Harbin 150001, Peoples R China
来源：
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2024年 / 36卷 / 01期
关键词：
Nonlocal diffusion; Free boundary; Mutualist model; Longtime behaviors; SPREADING SPEED; SEMI-WAVE; DYNAMICS; EQUATION;
D O I：
10.1007/s10884-022-10150-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A mutualist model with nonlocal diffusions and a free boundary is first considered. We prove that this problem has a unique solution defined for t >= 0, and its dynamics are governed by a spreading-vanishing dichotomy. Some criteria for spreading and vanishing are also given. Of particular importance is that we find that the solution of this problem has quite rich longtime behaviors, which vary with the conditions satisfied by kernel functions and are much different from those of the counterpart with local diffusion and free boundary. At last, we extend these results to the model with nonlocal diffusions and double free boundaries.
引用
收藏
页码：375 / 403
页数：29
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