Spatiotemporal dynamics in a diffusive predator prey model with group defense and nonlocal competition

被引：22

作者：

Liu, Yaqi ^{[1
]}

Duan, Daifeng ^{[1
]}

Niu, Ben ^{[1
]}

机构：

[1] Harbin Inst Technol, Dept Math, Weihai 264209, Shandong, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2020年 / 103卷

基金：

中国国家自然科学基金;

关键词：

Group defense; Delay; Diffusion; Nonlocal competition; Hopf bifurcation;

D O I：

10.1016/j.aml.2019.106175

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A nonlocal prey competition term, which represents a spatially weighted average of prey density, is incorporated into a diffusive predator-prey model with group defense effect to investigate the corresponding dynamic behaviors. By analyzing the distribution of eigenvalues and using the gestation time delay of predators as a bifurcation parameter, we discuss the stability of positive equilibrium and the existence of Hopf bifurcation. Based on the extended center manifold method and normal form theory, the direction and stability of the bifurcating periodic solution are discussed. Finally, spatially inhomogeneous oscillations are observed near the Hopf bifurcation. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页数：6

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