Dynamical analysis of a competition model in the turbidostat with discrete delay

被引：1
作者：
Li, Zuxiong [1 ,2 ]
Yao, Yong [2 ]
Wang, Hailing [2 ]
Liu, Zhijun [2 ]
机构：
[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Hubei, Peoples R China
[2] Hubei Univ Nationalities, Dept Math, Enshi 445000, Hubei, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2016年
基金：
中国博士后科学基金;
关键词：
turbidostat; bifurcating periodic solutions; digestion delay; stability; competition; CHEMOSTAT MODEL; PERIODIC-SOLUTION; HOPF-BIFURCATION; COEXISTENCE; STABILITY;
D O I：
10.1186/s13662-016-0955-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the dynamic behaviors of a competition model in the turbidostat with discrete delay are investigated. The stability of the positive equilibrium and the existence of a Hopf bifurcation are discussed by choosing the delay of digestion as a bifurcation parameter. Furthermore, we determine the direction and stability of the bifurcating periodic solutions by the normal form and the center manifold theorem. Moreover, some examples are given to illustrate our main results.
引用
收藏
页数：20
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