论文标题

使用连续限制了解进化和生态动力学

Understanding evolutionary and ecological dynamics using a continuum limit

论文作者

Czuppon, Peter, Traulsen, Arne

论文摘要

该手稿没有任何新的内容,但是综合了已知的结果:对于具有概率背景的理论人群遗传学家,我们提供了关于随机微分方程的一些关键结果的摘要。对于进化游戏理论家,我们对使用离散的死亡过程中获得的结果的推导给出了新的看法。对于熟悉确定性建模的理论生物学家,我们概述了如何得出并使用经典生态和进化过程的随机版本。

This manuscript contains nothing new, but synthesizes known results: For the theoretical population geneticist with a probabilistic background, we provide a summary of some key results on stochastic differential equations. For the evolutionary game theorist, we give a new perspective on the derivations of results obtained when using discrete birth-death processes. For the theoretical biologist familiar with deterministic modeling, we outline how to derive and work with stochastic versions of classical ecological and evolutionary processes.

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