Analytical approaches and novel type of i-state

  • Horst R. Thieme
Conference paper
Part of the Lecture Notes in Biomathematics book series (LNBM, volume 68)


Population dynamical models generally are constructed either to rnimic the behaviour of some specific population OI to illustrate some conceptual issue. Models of the first type are either completely specified or at worst belang to a low dimensional parametrie family, allowing their properties to be studied numerically. The quantitative matehing of observations and model predictions also instills an implicit trust in the aceuracy of the numerical technique. In the second case numerical methods may be used in the construction of examples OI counter examples, but we have to ascertain the essential correctness of the numeries in an independent manner. However, analytical methods are to be preferred as only these allow us to inter in a general fashion the potential consequences of large classes of mechanisms.


High Rank Equilibrium Solution Spectral Radius Banach Lattice Comparison Principle 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1986

Authors and Affiliations

  • Horst R. Thieme
    • 1
  1. 1.Sonderforschungsbereich 123Universität HeidelbergDeutschland

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