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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:475

Article

Wang, Jinfeng^1,2  Guo, Xinxin^1,2 

[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

关键词: Reaction-diffusion;    Predator-prey model;    Prey-taxis;    Global existence;    Boundedness;    Non-constant steady states;   

DOI  :  10.1016/j.jmaa.2019.02.071

来源: Elsevier

【 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.

【 授权许可】

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