Journal of Applied Mathematics

Bifurcation Analysis of a Chemostat Model of Plasmid-Bearing and Plasmid-Free Competition with Pulsed Input

Zhong Zhao, Baozhen Wang, Liuyong Pang, and Ying Chen

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Abstract

A chemostat model of plasmid-bearing and plasmid-free competition with pulsed input is proposed. The invasion threshold of the plasmid-bearing and plasmid-free organisms is obtained according to the stability of the boundary periodic solution. By use of standard techniques of bifurcation theory, the periodic oscillations in substrate, plasmid-bearing, and plasmid-free organisms are shown when some conditions are satisfied. Our results can be applied to control bioreactor aimed at producing commercial producers through genetically altered organisms.

Article information

Source
J. Appl. Math., Volume 2014 (2014), Article ID 343719, 9 pages.

Dates
First available in Project Euclid: 2 March 2015

Permanent link to this document
https://projecteuclid.org/euclid.jam/1425305832

Digital Object Identifier
doi:10.1155/2014/343719

Citation

Zhao, Zhong; Wang, Baozhen; Pang, Liuyong; Chen, Ying. Bifurcation Analysis of a Chemostat Model of Plasmid-Bearing and Plasmid-Free Competition with Pulsed Input. J. Appl. Math. 2014 (2014), Article ID 343719, 9 pages. doi:10.1155/2014/343719. https://projecteuclid.org/euclid.jam/1425305832


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