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  • 1
    Electronic Resource
    Electronic Resource
    Small autocatalytic reaction networks—III. Monotone growth functions (1991)
    Springer
    Bulletin of mathematical biology 53 (1991), S. 469-485 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract The classification of the dynamical behaviour of first order replicator equations is extended to models with monotonical growth rates. It is shown that for two species there is a general classification independent of the particular form of the growth function. For three species a common dynamical behaviour for all power laws can be found and the existence of limit cycles is disproved. For more general growth functions, however, limit cycles may occur.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02460729
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