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  • Coexistence  (2)
  • Springer  (2)
  • American Institute of Physics (AIP)
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  • Springer  (2)
  • American Institute of Physics (AIP)
Years
  • 1
    Electronic Resource
    Electronic Resource
    Coexistence of competing predators in a chemostat (1983)
    Springer
    Journal of mathematical biology 17 (1983), S. 133-151 
    Details
    ISSN: 1432-1416
    Keywords: Chemostat ; Competition ; Coexistence
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract An analysis is given of a mathematical model of two predators feeding on a single prey growing in the chemostat. In the case that one of the predators goes extinct, a global stability result is obtained. Under appropriate circumstances, a bifurcation theorem can be used to show that coexistence of the predators occurs in the form of a limit cycle.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00305755
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  • 2
    Electronic Resource
    Electronic Resource
    A competition model for a seasonally fluctuating nutrient (1980)
    Springer
    Journal of mathematical biology 9 (1980), S. 115-132 
    Details
    ISSN: 1432-1416
    Keywords: Exploitative competition ; Holling's type-2 functional response ; Seasonal variations ; Coexistence ; Chemostat
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract A model of two species consuming a single, limited, periodically added resource is discussed. The model is based on chemostat-type equations, which differ from the classical models of Lotka and Volterra. The model incorporates nonlinear ‘functional response’ curves of the Holling or Michaelis-Menten type to describe the dependence of the resource-exploitation rate on the amount of resource. Coexistence of two species due to seasonal variation is indicated by numerical studies.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00275917
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