Hopf bifurcation analysis of a turbidostat model with discrete delay

Yong Yao, Zuxiong Li and Zhijun Liu

Applied Mathematics and Computation, 2015, vol. 262, issue C, 267-281

Abstract: In this contribution, the dynamic behaviors of a turbidostat model with discrete delay are investigated. With the delay of digestion chosen to be a bifurcation parameter, we find that Hopf bifurcations occur when the delay crosses some critical values. Also, by employing the normal form theory and the center manifold theorem, we determine the type and stability of the bifurcating periodic solutions. Finally, numerical simulations are offered to support our results.

Keywords: Discrete delay; Turbidostat; Hopf bifurcation; Stability; Periodic solution (search for similar items in EconPapers)
Date: 2015
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300315005081
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:262:y:2015:i:c:p:267-281

DOI: 10.1016/j.amc.2015.04.050

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().