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Filtering by: Advisor Li, Hiram W. Remove constraint Advisor: Li, Hiram W. Subject Biotic communities -- Mathematical models Remove constraint Subject: Biotic communities -- Mathematical models

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  • Predicting the stability, equilibrium response, and nonequilibrium dynamics of ecological systems

    Creator:
    Hosack, Geoffrey R.
    Abstract:
    In this dissertation, new theory and its applications are developed to predict three properties of complex ecological communities: stability, equilibrium response, and non-equilibrium dynamics. First, a graph-theoretic analysis identifies the interconnections in a complex ecosystem that promote or diminish stability (Chapter 2). The hierarchy of interactions that influences stability and...
    Resource Type:
    Dissertation
    Full Text:
    : ____________________________________________________________________________ Philippe A. Rossignol Hiram W. Li In this dissertation, new theory and its

  • Qualitative analysis of the community matrix

    Creator:
    Dambacher, Jeffrey M.
    Abstract:
    This work sets forth a reformulation of Levins' loop analysis for the qualitative modeling of complex dynamical systems. Relationships between members of ecological communities can be analyzed through a qualitatively specified community matrix, whereby +1, -1, or 0 represent effects of one species upon another. A contribution is made to...
    Resource Type:
    Dissertation