Periodic Oscillations in a Chemostat Model with Two Discrete Delays
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-03-03
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
Periodic oscillations of solutions of a chemostat-type model in which a species feeds on a limiting nutrient are considered.
The model incorporates two discrete delays representing the lag in nutrient recycling and nutrient conversion.
Through the study of characteristic equation associated with the linearized system, a unique positive equilibrium is found and proved to be locally asymptotically stable under some conditions.
Meanwhile, a Hopf bifurcation causing periodic solutions is also obtained.
Numerical simulations illustrate the theoretical results.
American Psychological Association (APA)
Zhang, Tiansi& Ji, Xuehui& Li, Bo. 2015. Periodic Oscillations in a Chemostat Model with Two Discrete Delays. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1060461
Modern Language Association (MLA)
Zhang, Tiansi…[et al.]. Periodic Oscillations in a Chemostat Model with Two Discrete Delays. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-7.
https://search.emarefa.net/detail/BIM-1060461
American Medical Association (AMA)
Zhang, Tiansi& Ji, Xuehui& Li, Bo. Periodic Oscillations in a Chemostat Model with Two Discrete Delays. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1060461
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1060461