Derivation of replicator–mutator equations from a model in population genetics

Joe Yuichiro Wakano*, Tadahisa Funaki, Satoshi Yokoyama

*この研究の対応する著者

研究成果: Article査読

2 被引用数 (Scopus)

抄録

We introduce a Markov chain model to study evolution of a continuous trait based on population genetics. It corresponds to individual-based model which includes frequency dependent selection caused by m-player game interactions and stochastic fluctuations due to random genetic drift and mutation. We prove that under a proper scaling limit as the population size increases the system converges to the solution of replicator–mutator equations. Our result establishes an affirmative mathematical base to the adaptive dynamics formulation employed in the theory of the mathematical biology.

本文言語English
ページ(範囲)473-488
ページ数16
ジャーナルJapan Journal of Industrial and Applied Mathematics
34
2
DOI
出版ステータスPublished - 2017 8月 1

ASJC Scopus subject areas

  • 工学(全般)
  • 応用数学

フィンガープリント

「Derivation of replicator–mutator equations from a model in population genetics」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル