Spatially nonhomogeneous periodic patterns in a delayed predator-prey model with predator-taxis diffusion

被引：12
|
作者：
Shi, Qingyan [1 ]
Song, Yongli [2 ]
机构：
[1] Jiangnan Univ, Sch Sci, Wuxi 214122, Jiangsu, Peoples R China
[2] Hangzhou Normal Univ, Sch Math, Hangzhou 311121, Zhejiang, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2022年 / 131卷
基金：
中国国家自然科学基金;
关键词：
Pattern formation; Predator-prey model; Predator-taxis; Delay; Nonhomogeneous Hopf bifurcation; BIFURCATION; SYSTEM; STABILITY;
D O I：
10.1016/j.aml.2022.108062
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the effect of time delay on the dynamics of a diffusive predator-prey model with predator-taxis under Neumann boundary condition. The joint effect of predator-taxis and delay can lead to spatially nonhomogeneous periodic patterns via spatially nonhomogeneous Hopf bifurcations. It is also shown that there exist double Hopf bifurcations due to the interaction either between homogeneous and nonhomogeneous or between nonhomogeneous Hopf bifurcations with different modes, which cannot occur for the system with only either delay or predator-taxis diffusion. (c) 2022 Elsevier Ltd. All rights reserved.
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