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  • 标题:Stability and bifurcation analysis of an amensalism system with Allee effect
  • 本地全文:下载
  • 作者:Ming Zhao ; Yunfei Du
  • 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:1-13
  • DOI:10.1186/s13662-020-02804-9
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this work, we propose and study a new amensalism system with Allee effect on the first species. First, we investigate the existence and stability of all possible coexistence equilibrium points and boundary equilibrium points of this system. Then, applying the Sotomayor theorem, we prove that there exists a saddle-node bifurcation under some suitable parameter conditions. Finally, we provide a specific example with corresponding numerical simulations to further demonstrate our theoretical results.
  • 关键词:Amensalism system;Allee effect;Stability;Saddle-node bifurcation;
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