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Ecological and Lyapunov Stability

Justus, James (2006) Ecological and Lyapunov Stability. In: [2006] Philosophy of Science Assoc. 20th Biennial Mtg (Vancouver) > PSA 2006 Contributed Papers.

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    Abstract

    Ecologists have proposed several incompatible definitions of ecological stability. Emulating physicists, mathematical ecologists commonly define it as Lyapunov stability. This formalizes the problematic concept by integrating it into a well-developed mathematical theory. The formalization also seems to capture the intuition that ecological stability depends on how ecological systems respond to perturbation. Despite these advantages, this definition is flawed. Although Lyapunov stability adequately characterizes perturbation responses of systems typically studied in physics, it does not for ecological systems. This failure reveals a limitation of its underlying mathematical theory, and an important difference between dynamic systems modeling in physics and biology.


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    Item Type: Conference or Workshop Item (UNSPECIFIED)
    Keywords: stability, ecology, Lyapunov, Liapunov, definition, perturbation, dynamic systems modeling
    Subjects: General Issues > Models and Idealization
    Specific Sciences > Mathematics
    Specific Sciences > Biology > Ecology/Conservation
    Conferences and Volumes: [2006] Philosophy of Science Assoc. 20th Biennial Mtg (Vancouver) > PSA 2006 Contributed Papers
    Depositing User: James Justus
    Date Deposited: 16 Oct 2006
    Last Modified: 07 Oct 2010 11:14
    Item ID: 2987
    URI: http://philsci-archive.pitt.edu/id/eprint/2987

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