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  • Competition  (1)
  • Periodic solution  (1)
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  • 1
    Electronic Resource
    Electronic Resource
    Bifurcation from a limit cycle in a two predator-one prey ecosystem modeled on a chemostat (1981)
    Springer
    Journal of mathematical biology 12 (1981), S. 295-310 
    Details
    ISSN: 1432-1416
    Keywords: Bifurcation ; Periodic solution ; Chemostat ; Coexistence
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract A three dimensional system of ordinary differential equations modeling two predators competing for a renewable resource is analyzed and a periodic solution established in the open octant by a bifurcation from a two dimensional limit cycle. The basis equations are similar to those of the chemostat. This result confirms numerical evidence from [7], partially answering a question raised there.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00276918
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  • 2
    Electronic Resource
    Electronic Resource
    Global analysis of a model of plasmid-bearing, plasmid-free competition in a chemostat (1994)
    Springer
    Journal of mathematical biology 32 (1994), S. 731-742 
    Details
    ISSN: 1432-1416
    Keywords: Competition ; Plasmid ; Chemostat
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract A model of competition between plasmid-bearing and plasmid-free organisms in a chemostat was proposed in a paper of Stephanopoulis and Lapidus. The model was in the form of a system of nonlinear ordinary differential equations. Such models are relevant to commercial production by genetically altered organisms in continuous culture. The analysis there was local (using index arguments). This paper provides a mathematically rigorous analysis of the global asymptotic behavior of the governing equations in the case of uninhibited specific growth rate.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00163024
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