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Population Dynamics in a Microfounded Predator-Prey Model

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  • Thomas Christiaans

Abstract

This paper analyzes the dynamics of a two-dimensional microfounded predator-prey model. It is shown that the dynamics closely resemble those of a model commonly used in mathematical biology if parameters of the latter are suitably restricted. The positive equilibrium of the microfounded model is globally asymptotically stable for positive initial values largely irrespective of the parameter values chosen. If a version of Allee’s Law is included, however, species extinction becomes possible.

Suggested Citation

  • Thomas Christiaans, 2004. "Population Dynamics in a Microfounded Predator-Prey Model," Volkswirtschaftliche Diskussionsbeiträge 118-04, Universität Siegen, Fakultät Wirtschaftswissenschaften, Wirtschaftsinformatik und Wirtschaftsrecht.
    • Handle: RePEc:sie:siegen:118-04
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    File URL: http://www.wiwi.uni-siegen.de/vwl/repec/sie/papers/118-04.pdf
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    References listed on IDEAS

    as
    1. Thomas Eichner & Rüdiger Pethig, 2006. "An Analytical Foundation of the Ratio-Dependent Predator-Prey Model," Journal of Bioeconomics, Springer, vol. 8(2), pages 121-132, August.
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    More about this item

    Keywords

    Population dynamics; ratio dependence; species extinction;
    All these keywords.

    JEL classification:

    • Q20 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - General

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