Chaotic behavior of a chemostat model with Beddington–DeAngelis functional response and periodically impulsive invasion

Shuwen Zhang, Dejun Tan and Lansun Chen

Chaos, Solitons & Fractals, 2006, vol. 29, issue 2, 474-482

Abstract: In the paper, we considered a predator–prey model with Beddington–DeAngelis functional response in periodic pulsed chemostat. We discussed the boundness of system and the stability of prey and predator-eradication periodic solution of system. Further, using numerical simulation method, we show that this impulsive system with periodically pulsed substrate display a series of complex phenomena, which include (1) period-doubling cascade, (2) period-halfing cascade, (3) chaos and (4) periodic window.

Date: 2006
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (6)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077905006806
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:chsofr:v:29:y:2006:i:2:p:474-482

DOI: 10.1016/j.chaos.2005.08.026

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().