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J4 ›› 2013, Vol. 48 ›› Issue (4): 114-110.

• 论文 • 上一篇    

一类具有反馈控制非线性离散Logistic模型的全局吸引性

伍代勇   

  1. 安庆师范学院数学与计算科学学院, 安徽 安庆 246011
  • 收稿日期:2012-07-20 出版日期:2013-04-20 发布日期:2013-04-16
  • 作者简介:伍代勇(1979- ),男,硕士,讲师,研究方向为生物数学模型. Email:wudy9901@163.com
  • 基金资助:

    安徽省高等学校自然科学基金资助项目(KJ2013Z186);安徽省高等学校自然科学基金重点资助项目(KJ2011A197)

Global attractivity of a nonlinear discrete Logistic model  with feedback control

WU Dai-yong   

  1. School of Mathematics and Computational Science, Anqing Normal College,  Anqing 246011, Anhui, China
  • Received:2012-07-20 Online:2013-04-20 Published:2013-04-16

摘要:

讨论了一类具有反馈控制非线性离散Logistic模型的全局吸引性。运用比较原理及差分不等式得到了该模型正平衡态全局吸引的充分条件,通过数值模拟, 验证了结论的可行性,并得出了反馈控制对平衡态吸引性的影响。

关键词: 反馈控制;Logistic模型;全局吸引性

Abstract:

Global attractivity for a nonlinear discrete logistic model with feedback control is discussed. By using comparison theorem and difference inequation, the sufficient conditions for global attractivity of positive equilibrium of system are obtained.Some examples together with their numerical simulations show the feasibility of the main results.It is obtained that feedback control influences the attractivity of the equilibrium.

Key words:  feedback control; Logistic model; global attractivity

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