arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1909.02456q-bio.PE
收藏

自适应动态的随机模型:尺度限制和多样性

Stochastic models for adaptive dynamics: Scaling limits and diversity

Anton Bovier

摘要:

我讨论了所谓的随机个体为基础的模型的自适应动力学,特别是如何不同的缩放限制,可以通过采取限制大人口,小突变率,小的影响,单突变与适当的时间重新缩放。特别是,一个推导出的性状替代序列,多态性进化序列,和适应性动力学的正则方程。此外,我展示了如何从进化稳定的条件下逃脱可以发生作为一个亚稳态过渡。这是一篇评论文章,将出现在“进化中的概率结构”,由E。Baake和A.瓦科尔宾格

英文摘要:

I discuss the so-called stochastic individual based model of adaptive dynamics and in particular how different scaling limits can be obtained by taking limits of large populations, small mutation rate, and small effect of single mutations together with appropriate time rescaling. In particular, one derives the trait substitution sequence, polymorphic evolution sequence, and the canonical equation of adaptive dynamics. In addition, I show how the escape from an evolutionary stable conditions can occur as a metastable transition. This is a review paper that will appear in "Probabilistic Structures in Evolution", ed. by E. Baake and A. Wakolbinger.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑