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Title:Population Dynamics in a Microfounded Predator-PreyModel PDF Logo
Authors:Christiaans, Thomas
Issue Date:2004
Series/Report no.:Volkswirtschaftliche Diskussionsbeiträge / Universität-Gesamthochschule-Siegen, Fachbereich Wirtschaftswissenschaften 118
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
Document Type:Working Paper
Appears in Collections:Volkswirtschaftliche Diskussionsbeiträge, Universität Siegen

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