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  • 标题:Stability analysis of imitative dynamics in two-community with multiple delays
  • 本地全文:下载
  • 作者:Wenjun Hu ; Gang Zhang
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2020
  • 卷号:2020
  • 期号:1
  • 页码:1-12
  • DOI:10.1186/s13662-020-02718-6
  • 出版社:Hindawi Publishing Corporation
  • 摘要:Evolutionary game dynamics has become a hot topic in recent years. In this paper, we combine game theory and dynamical systems to investigate the stability of imitative dynamics in two-community with different kinds of delays. First, we establish a new model of imitative dynamics in two-community. Then, three sufficient conditions of the asymptotical stability for the neutrally stable strategy of the imitative dynamics are obtained. Finally, numerical simulations are consistent with the theoretical analysis.
  • 关键词:Imitative dynamics;Neutrally stable strategy;Asymptotical stability;Delay;
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