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Temporal behavior of evolutionary dynamics in finite dimensional population

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  • Tian, Liang

Abstract

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.

Suggested Citation

  • Tian, Liang, 2012. "Temporal behavior of evolutionary dynamics in finite dimensional population," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(4), pages 1234-1242.
    • Handle: RePEc:eee:phsmap:v:391:y:2012:i:4:p:1234-1242
    DOI: 10.1016/j.physa.2011.10.026
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    Cited by:

    1. Quan, Ji & Liu, Wei & Chu, Yuqing & Wang, Xianjia, 2018. "Stochastic dynamics and stable equilibrium of evolutionary optional public goods game in finite populations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 502(C), pages 123-134.

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