Journal of Applied Mathematics
- J. Appl. Math.
- Volume 2014 (2014), Article ID 343719, 9 pages.
Bifurcation Analysis of a Chemostat Model of Plasmid-Bearing and Plasmid-Free Competition with Pulsed Input
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.
J. Appl. Math., Volume 2014 (2014), Article ID 343719, 9 pages.
First available in Project Euclid: 2 March 2015
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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