Bifurcation analysis of a turbidostat model with distributed delay

被引：0
|
作者：
Yu Mu
Zuxiong Li
Huili Xiang
Hailing Wang
机构：
[1] Hubei University for Nationalities,Department of Mathematics
[2] Huazhong University of Science and Technology,School of Mathematics and Statistics
来源：
Nonlinear Dynamics | 2017年 / 90卷
关键词：
Distributed delay; Turbidostat; Hopf bifurcation; Periodic solution; Destabilization;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, dynamic behaviors of a turbidostat model with distributed delay are concerned. Hopf bifurcations arise when the value of bifurcation parameter, the time delay of translation for the nutrient, crosses some critical values. Firstly, the type and stability of bifurcating periodic solutions are determined by the normal form theory and the center manifold theorem. Moreover, the destabilization of periodic solutions is also discussed. Finally, numerical simulation results are given to support the theoretical conclusions.
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页码：1315 / 1334
页数：19
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