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, issue 1

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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https://doi.org/10.1155/2014/343719

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2014:y:2014:i:1:n:343719

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