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A Predator-Prey Model in the Chemostat with Time Delay
Joint Authors
Wolkowicz, Gail S. K.
Fan, Guihong
Source
International Journal of Differential Equations
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-41, 41 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-03-31
Country of Publication
Egypt
No. of Pages
41
Main Subjects
Abstract EN
The aim of this paper is to study the dynamics of predator-prey interaction in a chemostat to determine whether including a discrete delay to model the time between the capture of the prey and its conversion to viable biomass can introduce oscillatory dynamics even though there is a globally asymptotically stable equilibrium when the delay is ignored.
Hence, Holling type I response functions are chosen so that no oscillatory behavior is possible when there is no delay.
It is proven that unlike the analogous model for competition, as the parameter modeling the delay is increased, Hopf bifurcations can occur.
American Psychological Association (APA)
Fan, Guihong& Wolkowicz, Gail S. K.. 2010. A Predator-Prey Model in the Chemostat with Time Delay. International Journal of Differential Equations،Vol. 2010, no. 2010, pp.1-41.
https://search.emarefa.net/detail/BIM-460617
Modern Language Association (MLA)
Fan, Guihong& Wolkowicz, Gail S. K.. A Predator-Prey Model in the Chemostat with Time Delay. International Journal of Differential Equations No. 2010 (2010), pp.1-41.
https://search.emarefa.net/detail/BIM-460617
American Medical Association (AMA)
Fan, Guihong& Wolkowicz, Gail S. K.. A Predator-Prey Model in the Chemostat with Time Delay. International Journal of Differential Equations. 2010. Vol. 2010, no. 2010, pp.1-41.
https://search.emarefa.net/detail/BIM-460617
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-460617