# Lotka-Volterra equation and replicator dynamics: new issues in classification

@article{Bomze2004LotkaVolterraEA, title={Lotka-Volterra equation and replicator dynamics: new issues in classification}, author={Immanuel M. Bomze}, journal={Biological Cybernetics}, year={2004}, volume={72}, pages={447-453} }

Replicator dynamics serves for modelling many biological processes, e.g. evolution of animal behaviour, but also selection in population genetics, and even prebiotic evolution. The Lotka-Volterra system is used in mathematical ecology to describe the interaction of two populations over time. Here, predator/prey situations can be modelled as well as competition for a resource. After a short account on applications and ramifications of planar classification results, a lacuna is closed which… Expand

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