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  • 标题:Association between competition and obligate mutualism in a chemostat
  • 本地全文:下载
  • 作者:Miled El Hajji ; Jérôme Harmand ; Hédia Chaker
  • 期刊名称:Journal of Biological Dynamics
  • 印刷版ISSN:1751-3758
  • 电子版ISSN:1751-3766
  • 出版年度:2009
  • 卷号:3
  • 期号:6
  • 页码:635-647
  • DOI:10.1080/17513750902915978
  • 出版社:Taylor & Francis
  • 摘要:In this paper, we consider a simple chemostat model involving two obligate mutualistic species feeding on a limiting substrate. Systems of differential equations are proposed as models of this association. A detailed qualitative analysis is carried out. We show the existence of a domain of coexistence, which is a set of initial conditions in which both species survive. We demonstrate, under certain supplementary assumptions, the uniqueness of the stable equilibrium point which corresponds to the coexistence of the two species.
  • 关键词:chemostat ; competition ; mutualism ; asymptotic behaviour ; coexistence ; Dulac criterion ; Thieme’s result
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