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

Journal of Applied Mathematics, 2014, vol. 2014, 1-9

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:343719

DOI: 10.1155/2014/343719

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