Population Dynamics in a Microfounded Predator-Prey Model

Thomas Christiaans ()

Volkswirtschaftliche Diskussionsbeiträge from Universität Siegen, Fakultät Wirtschaftswissenschaften, Wirtschaftsinformatik und Wirtschaftsrecht

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.

Keywords: Population dynamics; ratio dependence; species extinction (search for similar items in EconPapers)
JEL-codes: Q20 (search for similar items in EconPapers)
Pages: 18 pages
Date: 2004-10
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Persistent link: https://EconPapers.repec.org/RePEc:sie:siegen:118-04

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