A FREE BOUNDARY PROBLEM FOR A PREDATOR-PREY MODEL WITH NONLINEAR PREY-TAXIS

被引：8

作者：

Yousefnezhad, Mohsen ^{[1
]}

Mohammadi, Seyyed Abbas ^{[2
]}

Bozorgnia, Farid ^{[3
]}

机构：

[1] Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran

[2] Univ Yasuj, Coll Sci, Dept Math, Yasuj 7591874934, Iran

[3] Orebro Univ, Sch Sci & Technol, Dept Math, SE-70182 Orebro, Sweden

来源：

APPLICATIONS OF MATHEMATICS | 2018年 / 63卷 / 02期

关键词：

prey-predator model; prey-taxis; free boundary; classical solutions; global existence; REACTION-DIFFUSION SYSTEM; SPATIAL SEGREGATION; STABILITY;

D O I：

10.21136/AM.2018.0227-17

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with a reaction-diffusion system modeling a free boundary problem of the predator-prey type with prey-taxis over a one-dimensional habitat. The free boundary represents the spreading front of the predator species. The global existence and uniqueness of classical solutions to this system are established by the contraction mapping principle. With an eye on the biological interpretations, numerical simulations are provided which give a real insight into the behavior of the free boundary and the stability of the solutions.

引用

页码：125 / 147

页数：23

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