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arXiv 1006.2452q-bio.PEmath.AP
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具有显式空间和全局调节的复制子方程的注记

A note on the replicator equation with explicit space and global regulation

Alexander S. Bratus', Vladimir P. Posvyanskii, Artem S. Novozhilov

摘要:

考虑了具有显式空间和全局调节的复制子方程。该模型提供了一个自然的框架,以跟踪空间中分布的物种的频率。对于这个模型,类似于经典的纳什均衡和进化稳定策略的概念。给出了均匀定态成为空间分布演化稳定态的一个充分条件,并举例说明。

英文摘要:

A replicator equation with explicit space and global regulation is considered. This model provides a natural framework to follow frequencies of species that are distributed in the space. For this model, analogues to classical notions of the Nash equilibrium and evolutionary stable strategy are provided. A sufficient condition for a uniform stationary state to be a spatially distributed evolutionary stable state is presented and illustrated with examples.

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。

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