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具阶段结构反馈控制Lotka-Volterra竞争系统的全局吸引性

The global attractivity of a stage-structured Lotka-Volterra competition system with feedback controls
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摘要 研究了具阶段结构反馈控制竞争模型正平衡点的全局吸引性,通过构造单调递归序列的方法得到保证该模型存在全局吸引正平衡点的充分性条件. We study the global attractivity of a stage - structured Lotka - Volterracompetition system with feedback controls. Applying the monotoncity methods, a set of suitcient conditions which ensure the global attractivity of the system are obtained.
作者 何梦昕
出处 《福州大学学报(自然科学版)》 CAS CSCD 北大核心 2008年第5期649-654,共6页 Journal of Fuzhou University(Natural Science Edition)
基金 国家自然科学基金资助项目(10501007) 福建省高等学校新世纪优秀人才资助项目(0330-003383)
关键词 阶段结构 反馈控制 全局吸引性. stage structure feedback controls global attractivity
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参考文献7

  • 1Gopalsamy K, Weng P X. Global attractivity in a competition system with feedback controls [ J ]. Comput Math Appl, 2003, 45 : 665 - 676.
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  • 6何梦昕.具阶段结构反馈控制Lotka-Volterra系统的局部稳定性[J].宁德师专学报(自然科学版),2008,20(1):7-9. 被引量:1
  • 7Liu S Q, Chen L S, Luo G L, et al. Asymptotic behaviors of competitive Lotka - Voherra system with stage structure [ J ]. J Math Anal Appl, 2002, 271 : 124 - 138.

二级参考文献2

  • 1F.D.Chen,Z.Li,and Y.J.Huang.Note on the permanence of a competitive system with infinite delay and feedback con-trols[].Nonlinear AnalReal World Appl.2007
  • 2LIU Sheng-qiang,CHEN Lan-sun,LUO Gui-lie,et al.Asymptotic behavious of competitive Lotka-Volterra system with stage structure[].Journal of Mathematical.2002

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