Stability analysis of a fractional-order two-species facultative mutualism model with harvesting
作者: Nattakan SupajaideeSompop Moonchai
作者单位: 1Chiang Mai University
2CHE
刊名: Advances in Difference Equations, 2017, Vol.2017 (1)
来源数据库: Springer Journal
DOI: 10.1186/s13662-017-1430-9
关键词: Fractional differential equationsStability analysisMutualism modelCaputo fractional derivativeLyapunov function
英文摘要: We present a fractional-order model of two-species facultative mutualism with harvesting. We investigate the stability of the equilibrium points of the model by using the linearization method for noncoexistence of equilibrium points and the Lyapunov direct method for the positive coexistence of an equilibrium point. In addition, we obtain sufficient conditions to ensure the local asymptotic stability and global uniform asymptotic stability for the model. Finally, we provide illustrated numerical examples to verify the stability results obtained in this study.
原始语种摘要: We present a fractional-order model of two-species facultative mutualism with harvesting. We investigate the stability of the equilibrium points of the model by using the linearization method for noncoexistence of equilibrium points and the Lyapunov direct method for the positive coexistence of an equilibrium point. In addition, we obtain sufficient conditions to ensure the local asymptotic stability and global uniform asymptotic stability for the model. Finally, we provide illustrated numerical examples to verify the stability results obtained in this study.
全文获取路径: Springer  (合作)
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来源刊物:
影响因子:0.76 (2012)

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关键词翻译
关键词翻译
  • facultative 随意的
  • fractional 分级的
  • mutualism 互惠共生现象
  • illustrated 以…说明
  • analysis 分析
  • equilibrium 平衡
  • ensure 担保
  • derivative 衍生物
  • stability 稳定性
  • asymptotic 渐近的