Bifurcation, Chaos, and Pattern Formation for the Discrete Predator-Prey Reaction-Diffusion Model

被引：3

作者：

Meng, Lili ^{[1
]}

Han, Yutao ^{[2
]}

Lu, Zhiyi ^{[1
]}

Zhang, Guang ^{[1
]}

机构：

[1] Tianjin Univ Commerce, Sch Sci, Tianjin 300134, Peoples R China

[2] Univ Int Business & Econ, Dept Econ, Beijing 100029, Peoples R China

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2019年 / 2019卷

基金：

中国国家自然科学基金;

关键词：

SYSTEM;

D O I：

10.1155/2019/9592878

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a discrete predator-prey system with the periodic boundary conditions will be considered. First, we get the conditions for producing Turing instability of the discrete predator-prey system according to the linear stability analysis. Then, we show that the discretemodel has the flip bifurcation and Turing bifurcation under the critical parameter values. Finally, a series of numerical simulations are carried out in the Turing instability region of the discrete predator-prey model; some new Turing patterns such as striped, bar, and horizontal bar are observed.

引用

页数：9

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