Competition between Plasmid-Bearing and Plasmid-Free Organisms in a Chemostat with Pulsed Input and Washout
Joint Authors
Zhao, Yu
Yuan, Sanling
Xiao, Anfeng
Source
Mathematical Problems in Engineering
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-12-01
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
We consider a model of competition between plasmid-bearing and plasmid-free organisms in the chemostat with pulsed input and washout.
We investigate the subsystem with nutrient and plasmid-free organism and study the stability of the boundary periodic solutions, which are the boundary periodic solutions of the system.
The stability analysis of the boundary periodic solution yields the invasion threshold of the plasmid-bearing organism.
By using the standard techniques of bifurcation theory, we prove that above this threshold there are periodic oscillations in substrate, plasmid-free, and plasmid-bearing organisms.
Numerical simulations are carried out to illustrate our results.
American Psychological Association (APA)
Yuan, Sanling& Zhao, Yu& Xiao, Anfeng. 2009. Competition between Plasmid-Bearing and Plasmid-Free Organisms in a Chemostat with Pulsed Input and Washout. Mathematical Problems in Engineering،Vol. 2009, no. 2009, pp.1-17.
https://search.emarefa.net/detail/BIM-454262
Modern Language Association (MLA)
Yuan, Sanling…[et al.]. Competition between Plasmid-Bearing and Plasmid-Free Organisms in a Chemostat with Pulsed Input and Washout. Mathematical Problems in Engineering No. 2009 (2009), pp.1-17.
https://search.emarefa.net/detail/BIM-454262
American Medical Association (AMA)
Yuan, Sanling& Zhao, Yu& Xiao, Anfeng. Competition between Plasmid-Bearing and Plasmid-Free Organisms in a Chemostat with Pulsed Input and Washout. Mathematical Problems in Engineering. 2009. Vol. 2009, no. 2009, pp.1-17.
https://search.emarefa.net/detail/BIM-454262
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-454262