Relaxation of Evolutionary Dynamics on the Bethe Lattice

Liang Tian*, Min Lin

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

Abstract

Realistic evolutionary systems are generally structured and are in infinite dimensions. We study the relaxation behavior of evolutionary dynamics on a Bethe lattice, which concerns the invasion of mutants into a population of wild-type individuals. Since the boundary effect plays a significant role in a finite system, with proper approximation we propose an effective method to characterize the evolutionary dynamics. The relaxation behavior of the invasion process is analytically investigated, which is confirmed by extensive simulations. This work is the first systematical investigation on evolutionary dynamics in an infinitely dimensional lattice.

Original languageEnglish
Article number038701
Number of pages4
JournalChinese Physics Letters
Volume29
Issue number3
DOIs
Publication statusPublished - Mar 2012

Scopus Subject Areas

  • Physics and Astronomy(all)

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