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dc.contributor.authorChristiaans, Thomasen_US
dc.contributor.authorEichner, Thomasen_US
dc.contributor.authorPethig, Rüdigeren_US
dc.date.accessioned2005-12-09en_US
dc.date.accessioned2010-10-19T12:00:41Z-
dc.date.available2010-10-19T12:00:41Z-
dc.date.issued2005en_US
dc.identifier.urihttp://hdl.handle.net/10419/41081-
dc.description.abstractIn this paper we develop a micro ecosystem model whose basic entities are representative organisms which behave as if maximizing their net offspring under constraints. Net offspring is increasing in prey biomass intake, declining in the loss of own biomass to predators and Allee's Law applies. The organism's constraint reflects its perception of how scarce its own biomass and the biomass of its prey is. In the short-run periods prices (scarcity indicators) coordinate and determine all biomass transactions and net offspring which directly translates into population growth functions. We are able to explicitly determine these growth functions for a simple food web when specific parametric net offspring functions are chosen in the micro-level ecosystem model. For the case of a single species our model is shown to yield the well-known Verhulst-Pearl logistic growth function. With two species in predator-prey relationship, we derive differential equations whose dynamics are completely characterized and turn out to be similar to the predator-prey model with Michaelis-Menten type functional response. With two species competing for a single resource we find that coexistence is a knife-edge feature confirming Tschirhart's(2002) result in a different but related model.en_US
dc.language.isoengen_US
dc.publisherUniv., Fachbereich Wirtschaftswiss., Wirtschaftsinformatik und Wirtschaftsrecht Siegenen_US
dc.relation.ispartofseriesVolkswirtschaftliche Diskussionsbeiträge // Universität Siegen, Fachbereich Wirtschaftswissenschaften, Wirtschaftsinformatik und Wirtschaftsrecht 123en_US
dc.subject.ddc330en_US
dc.subject.keywordspeciesen_US
dc.subject.keywordgrowthen_US
dc.subject.keywordextinctionen_US
dc.subject.keywordpredator-prey relationsen_US
dc.subject.keywordresource competitionen_US
dc.titleA micro-level 'consumer approach' to species population dynamicsen_US
dc.typeWorking Paperen_US
dc.identifier.ppn504272756en_US
dc.rightshttp://www.econstor.eu/dspace/Nutzungsbedingungenen_US
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