Bifurcation Analysis of a Chemostat Model of Plasmid-Bearing and Plasmid-Free Competition with Pulsed Input. (15th June 2014)

• Record Type: Journal Article
• Authors: Zhao, Zhong; Wang, Baozhen; Pang, Liuyong; Chen, Ying
• Other Names: Alwash Mohamad Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2014(2014)
• Publication Date: 2014-06-15
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2014/343719
• Languages: English
• ISSNs: 1110-757X

Abstract

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.