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

Author

Listed:
  • Zhong Zhao
  • Baozhen Wang
  • Liuyong Pang
  • Ying Chen

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.

Suggested Citation

  • Zhong Zhao & Baozhen Wang & Liuyong Pang & Ying Chen, 2014. "Bifurcation Analysis of a Chemostat Model of Plasmid‐Bearing and Plasmid‐Free Competition with Pulsed Input," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:343719
    DOI: 10.1155/2014/343719
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    References listed on IDEAS

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    1. Xiang, Zhongyi & Song, Xinyu, 2007. "A model of competition between plasmid-bearing and plasmid-free organisms in a chemostat with periodic input," Chaos, Solitons & Fractals, Elsevier, vol. 32(4), pages 1419-1428.
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