Dynamics and pattern formations in a three-species predator-prey model with two prey-taxis

被引：13

作者：

Wang, Jinfeng ^{[1
,2
]}

Guo, Xinxin ^{[1
,2
]}

机构：

[1] Harbin Normal Univ, Sch Math Sci, Harbin 150001, Heilongjiang, Peoples R China

[2] Harbin Normal Univ, YY Tseng Funct Anal Res Ctr, Harbin 150001, Heilongjiang, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2019年 / 475卷 / 02期

关键词：

Reaction-diffusion; Predator-prey model; Prey-taxis; Global existence; Boundedness; Non-constant steady states; PARABOLIC CHEMOTAXIS SYSTEM; BOUNDEDNESS; WAVES;

D O I：

10.1016/j.jmaa.2019.02.071

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a reaction-diffusion system with prey taxis which models the dynamics of a two-predator-one-prey ecosystem in which the predators collaboratively take advantage of the prey's strategy. The global existence and boundedness of solutions of the system in bounded domains of arbitrary spatial dimension and small prey-taxis sensitivity coefficients are proved. It is also shown that such prey-taxis qualitatively affect the stability of coexistence steady state solutions in some cases, and the emergence of forceful prey-taxis will enhance the spatial patterns. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：1054 / 1072

页数：19

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