NDLI: Study of a Monod–Haldene type food chain chemostat with pulsed substrate

Content Provider	Springer Nature Link
Author	Wang, Fengyan Pang, Guoping Chen, Lansun
Copyright Year	2006
Abstract	In this paper, we introduce and study a model of a Monod–Haldene type food chain chemostat with pulsed substrate. We investigate the subsystem with substrate and prey and study the stability of the periodic solutions, which are the boundary periodic solutions of the system. The stability analysis of the boundary periodic solution yields an invasion threshold. By use of standard techniques of bifurcation theory, we prove that above this threshold there are periodic oscillations in substrate, prey, and predator. Simple cycles may give way to chaos in a cascade of period-doubling bifurcations. Furthermore, by comparing bifurcation diagrams with different bifurcation parameters, we can see that the impulsive system shows two kinds of bifurcations, whose are period-doubling and period-halfing.
Starting Page	210
Ending Page	226
Page Count	17
File Format	PDF
ISSN	02599791
Journal	Journal of Mathematical Chemistry
Volume Number	43
Issue Number	1
e-ISSN	15728897
Language	English
Publisher	Springer Netherlands
Publisher Date	2006-12-08
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	bifurcation Monod-Haldene growth rates chemostat invasion complexity Math. Applications in Chemistry Theoretical and Computational Chemistry Physical Chemistry
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Chemistry

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Study of a Monod–Haldene type food chain chemostat with pulsed substrate