Population Dynamics in a Microfounded Predator-PreyModel

Arbeitspapier

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.

Object Details

• Language: Englisch

References and Relationships

• Bibliographic citation: Series: Volkswirtschaftliche Diskussionsbeiträge ; No. 118-04

Classification and Topics

• Classification: Wirtschaft ; Renewable Resources and Conservation: General
• Subject: population dynamics ; ratio dependence ; species extinction ; Bioökonomik ; Mikroökonomische Fundierung ; Biodiversität ; Theorie

Contributors, Places and Time

• Event: Geistige Schöpfung
• (who): Christiaans, Thomas
• Event: Veröffentlichung
• (who): Universität Siegen, Fakultät III, Wirtschaftswissenschaften, Wirtschaftsinformatik und Wirtschaftsrecht
• (where): Siegen
• (when): 2004

Further information

• Handle: http://hdl.handle.net/10419/23297
• Last update: 10.03.2025, 11:45 AM CET