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Analysis Of A Model Of Plasmid-Bearing, Plasmid-Free Competition In A Pulsed Chemostat

Author

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  • XIANGYUN SHI

    (Department of Mathematics, Xinyang Normal University, Xinyang 464000, Henan, China)

  • XINYU SONG

    (Department of Mathematics, Xinyang Normal University, Xinyang 464000, Henan, China)

  • XUEYONG ZHOU

    (Department of Mathematics, Xinyang Normal University, Xinyang 464000, Henan, China)

Abstract

We introduce and study a chemostat model with plasmid-bearing, plasmid-free competition and impulsive effect. According to the stability analysis of the boundary periodic solution, we obtain the invasion threshold of the plasmid-free organism and plasmid-bearing organism. Furthermore, by using standard techniques of bifurcation theory, we prove the system has a positive τ-periodic solution, which shows that the impulsive effect destroys the equilibria of the unforced continuous system and initiates the periodic solution. Our results can be applied to control bioreactors aimed at producing commercial products through genetically altered organisms.

Suggested Citation

  • Xiangyun Shi & Xinyu Song & Xueyong Zhou, 2006. "Analysis Of A Model Of Plasmid-Bearing, Plasmid-Free Competition In A Pulsed Chemostat," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 9(03), pages 263-276.
    • Handle: RePEc:wsi:acsxxx:v:09:y:2006:i:03:n:s0219525906000768
    DOI: 10.1142/S0219525906000768
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