Stability and Bifurcation of Two Kinds of Three-Dimensional Fractional Lotka-Volterra Systems

被引：7

作者：

Tian, Jinglei ^{[1
]}

Yu, Yongguang ^{[1
]}

Wang, Hu ^{[1
]}

机构：

[1] Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2014年 / 2014卷

关键词：

GLOBAL ASYMPTOTIC STABILITY; PERIODIC-SOLUTIONS; HOPF-BIFURCATION; PREDATOR-PREY; PERMANENCE; DERIVATIVES; CHAOS;

D O I：

10.1155/2014/695871

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Two kinds of three-dimensional fractional Lotka-Volterra systems are discussed. For one system, the asymptotic stability of the equilibria is analyzed by providing some sufficient conditions. And bifurcation property is investigated by choosing the fractional order as the bifurcation parameter for the other system. In particular, the critical value of the fractional order is identified at which the Hopf bifurcation may occur. Furthermore, the numerical results are presented to verify the theoretical analysis.

引用

页数：8

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