Temporal behavior of evolutionary dynamics in finite dimensional population

Liang Tian*

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

2 Citations (Scopus)


We systematically study the temporal behavior of evolutionary dynamics in finite dimensional population based on evolutionary graph theory. Besides the spread of mutants, we also consider the spread of the impact of the initial mutant seed. The time-dependent behavior of these two spreading processes and their relationship are theoretically and computationally investigated. The ingredients and scaling behaviors of the interface between mutants and wild-type individuals are analyzed in detail, which have significant impact on temporal behavior of evolutionary dynamics. Since the evolutionary systems in nature are generally local and spatial, this research provides further understanding of temporal behavior in evolutionary dynamics at the theoretical level.

Original languageEnglish
Pages (from-to)1234-1242
Number of pages9
JournalPhysica A: Statistical Mechanics and its Applications
Issue number4
Publication statusPublished - 15 Feb 2012

Scopus Subject Areas

  • Statistics and Probability
  • Condensed Matter Physics

User-Defined Keywords

  • Evolutionary dynamics
  • Evolutionary graph theory
  • Finite dimensional population
  • Scaling


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