117-04
Universität Siegen
Fachbereich Wirtschaftswissenschaften, Wirtschaftsinformatik und Wirtschaftsrecht
Volkswirtschaftliche Diskussionsbeiträge
Thomas Eichner und Rüdiger Pethig
An analytical
foundation of the ratio-dependent predator-prey model
Predator-prey
models of the Lotka-Volterra type and their refinements describe predator-prey
interactions taking populations as basic units of analysis. In contrast
to these macro models we derive interdependent population growth functions
of a predator and a prey species from a micro ecosystem model whose basic
entities are representative prey and predator organisms which behave as
if they maximize their net offspring under constraints. In the short-run
periods prices (scarcity indicators) coordinate and determine all biomass
transactions and net offspring which directly translates into population
growth and thus constitutes the dynamics of the predator-prey relations.
For a specific parametric version our model offers a theoretical foundation
of the ratio-dependent predator-prey model with Michaelis-Menten type
functional response.
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