Turing Patterns of a Lotka-Volterra Competitive System with Nonlocal Delay

被引：28

作者：

Han, Bang-Sheng ^{[2
]}

Wang, Zhi-Cheng ^{[1
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China

[2] Southwest Jiaotong Univ, Sch Math, Chengdu 611756, Sichuan, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2018年 / 28卷 / 07期

关键词：

Lotka-Volterra competitive system; nonlocal delay; bifurcation; Turing pattern; multiple scale analysis; numerical simulation; REACTION-DIFFUSION MODEL; TRAVELING-WAVE SOLUTIONS; SPATIOTEMPORAL PATTERNS; HOPF-BIFURCATION; DIFFERENTIAL-EQUATIONS; FRONTS; INSTABILITY; DYNAMICS; STATES;

D O I：

10.1142/S0218127418300215

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper focuses on the dynamical behavior of a Lotka-Volterra competitive system with nonlocal delay. We first establish the conditions of Turing bifurcation occurring in the system. According to it and by using multiple scale method, the amplitude equations of the different Turing patterns are obtained. Then, we observe when these patterns (spots pattern and stripes pattern) arise in the Lotka-Volterra competitive system. Finally, some numerical simulations are given to verify our theoretical analysis.

引用

页数：25

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