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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- Thomas Eichner & Rüdiger Pethig, 2003. "The impact of scarcity and abundance in food chains on species population dynamics," Volkswirtschaftliche Diskussionsbeiträge 109-03, Universität Siegen, Fakultät Wirtschaftswissenschaften, Wirtschaftsinformatik und Wirtschaftsrecht.
- Swanson, Timothy M, 1994. "The Economics of Extinction Revisited and Revised: A Generalised Framework for the Analysis of the Problems of Endangered Species and Biodiversity Losses," Oxford Economic Papers, Oxford University Press, vol. 46(0), pages 800-821, Supplemen.
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