Bifurcation Analysis of a Chemostat Model of Plasmid-Bearing and Plasmid-Free Competition with Pulsed Input | Zendy

Zhong Zhao | Zendy; Baozhen Wang | Zendy; Liuyong Pang | Zendy; Ying Chen | Zendy

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Bifurcation Analysis of a Chemostat Model of Plasmid-Bearing and Plasmid-Free Competition with Pulsed Input

Author(s) -

Zhong Zhao,

Baozhen Wang,

Liuyong Pang,

Ying Chen

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/343719

Subject(s) - chemostat , plasmid , bifurcation , control theory (sociology) , bearing (navigation) , bioreactor , mathematics , biological system , competition (biology) , biology , mechanics , computer science , genetics , physics , gene , control (management) , nonlinear system , ecology , bacteria , botany , quantum mechanics , artificial intelligence

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 accordingto 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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