Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/23297 
Year of Publication: 
2004
Series/Report no.: 
Volkswirtschaftliche Diskussionsbeiträge No. 118-04
Publisher: 
Universität Siegen, Fakultät III, Wirtschaftswissenschaften, Wirtschaftsinformatik und Wirtschaftsrecht, Siegen
Abstract: 
This paper analyzes the dynamics of a two-dimensional microfounded predatorprey 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.
Subjects: 
population dynamics
ratio dependence
species extinction
JEL: 
Q20
Document Type: 
Working Paper

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