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2014 Bifurcation Analysis of a Chemostat Model of Plasmid-Bearing and Plasmid-Free Competition with Pulsed Input
Zhong Zhao, Baozhen Wang, Liuyong Pang, Ying Chen
J. Appl. Math. 2014: 1-9 (2014). DOI: 10.1155/2014/343719

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.

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Zhong Zhao. Baozhen Wang. Liuyong Pang. Ying Chen. "Bifurcation Analysis of a Chemostat Model of Plasmid-Bearing and Plasmid-Free Competition with Pulsed Input." J. Appl. Math. 2014 1 - 9, 2014. https://doi.org/10.1155/2014/343719

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131533
Digital Object Identifier: 10.1155/2014/343719

Rights: Copyright © 2014 Hindawi

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