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Understanding evolutionary and ecological dynamics using a continuum limit

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Czuppon,  Peter
Department Evolutionary Theory, Max Planck Institute for Evolutionary Biology, Max Planck Society;

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Traulsen,  Arne
Department Evolutionary Theory, Max Planck Institute for Evolutionary Biology, Max Planck Society;

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Citation

Czuppon, P., & Traulsen, A. (submitted). Understanding evolutionary and ecological dynamics using a continuum limit.


Cite as: http://hdl.handle.net/21.11116/0000-0007-9ECD-1
Abstract
This manuscript contains nothing new, but synthesizes known results: For the theoreticalpopulation geneticist with a probabilistic background, we provide a summary of some keyresults on stochastic differential equations. For the evolutionary game theorist, we givea new perspective on the derivations of results obtained when using discrete birth-deathprocesses. For the theoretical biologist familiar with deterministic modeling, we outlinehow to derive and work with stochastic versions of classical ecological and evolutionary processes.