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Chaos in a food chain chemostat with pulsed input and washout
Zhang, YJ; Xiu, ZL; Chen, LS
2005-10-01
Source PublicationCHAOS SOLITONS & FRACTALS
ISSN0960-0779
Volume26Issue:1Pages:159-166
AbstractA food-chain chemostat with periodically pulsed input and washout is presented and analyzed. We prove that when the period of pulses is equal to some critical value, there exists a transcritical bifurcation. When the period is more than the critical value, the zooplankton-free periodic solution loses stability, and nutrient, phytoplankton and zooplankton coexist on a periodic solution of period T. If the period is further increase, the system undergoes a series of period-doubling bifurcations leading to chaos. Moreover, the system is also characterized by non-unique dynamic. Finally, we give a brief discussion and find that periodically pulsed input and washout destroys the equilibria of the unforced continuous system and initiates chaos. (c) 2005 Elsevier Ltd. All rights reserved.
DOI10.1016/j.chaos.2004.12.040
Language英语
WOS Research AreaMathematics ; Physics
WOS SubjectMathematics, Interdisciplinary Applications ; Physics, Multidisciplinary ; Physics, Mathematical
WOS IDWOS:000229353000019
PublisherPERGAMON-ELSEVIER SCIENCE LTD
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/1634
Collection中国科学院数学与系统科学研究院
Corresponding AuthorZhang, YJ
Affiliation1.Anshan Normal Univ, Dept Math, Anshan 114005, Liaoning, Peoples R China
2.Dalian Univ Technol, Dept Biosci & Biotechnol, Dalian 116024, Peoples R China
3.Acad Sinica, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Zhang, YJ,Xiu, ZL,Chen, LS. Chaos in a food chain chemostat with pulsed input and washout[J]. CHAOS SOLITONS & FRACTALS,2005,26(1):159-166.
APA Zhang, YJ,Xiu, ZL,&Chen, LS.(2005).Chaos in a food chain chemostat with pulsed input and washout.CHAOS SOLITONS & FRACTALS,26(1),159-166.
MLA Zhang, YJ,et al."Chaos in a food chain chemostat with pulsed input and washout".CHAOS SOLITONS & FRACTALS 26.1(2005):159-166.
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