English, Article edition: ANALYSIS OF A MODEL OF PLASMID-BEARING, PLASMID-FREE COMPETITION IN A PULSED CHEMOSTAT XIANGYUN SHI; XINYU SONG; XUEYONG ZHOU

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Physical Description
  • article
Language
  • English

Edition details

Title
  • ANALYSIS OF A MODEL OF PLASMID-BEARING, PLASMID-FREE COMPETITION IN A PULSED CHEMOSTAT
Author
  • XIANGYUN SHI
  • XINYU SONG
  • XUEYONG ZHOU
Physical Description
  • article
Notes
  • 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 Ï-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.
  • Chemostat model, impulsive effect, periodic solution, globally asymptotic stability
  • RePEc:wsi:acsxxx:v:09:y:2006:i:03:p:263-276
Language
  • English
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