Further studies of a reaction-diffusion system for an unstirred chemostat with internal storage

نویسندگان

  • Sze-Bi Hsu
  • Junping Shi
  • Feng-Bin Wang
  • FENG-BIN WANG
چکیده

The dynamics of a reaction-diffusion system for two species of microorganism in an unstirred chemostat with internal storage is studied. It is shown that the diffusion coefficient is a key parameter of determining the asymptotic dynamics, and there exists a threshold diffusion coefficient above which both species become extinct. On the other hand, for diffusion coefficient below the threshold, either one species or both species persist, and in the asymptotic limit, a steady state showing competition exclusion or coexistence is reached.

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منابع مشابه

On a system of reaction–diffusion equations arising from competition with internal storage in an unstirred chemostat

Article history: Received 22 September 2009 Revised 26 October 2009 Available online 15 January 2010 MSC: 92A17 35K55 35K57 35J65

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تاریخ انتشار 2014