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多时滞反馈控制广义Logistic模型的全局吸引性 被引量:2

The Global Attractivity of Feedback Control General Logistic Model With Multi-delay
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摘要 研究了一类多时滞反馈控制Logistic模型正平衡点的全局吸引性,利用第一比较定理证明了该模型解的一致有界性与连续性,通过构造Lyapunov泛函方法得到了该模型全局吸引性的充分条件,并举例说明定理的可实现性。 The global attractivity of the solutions of the feedback control general Logistic model with muhidelay is investigated, the uniform boundedness and continuity of the solutions of this model are proved by using the first comparison theorem, sufficient conditious are derived for global attractivity of this model by using the method of constructing Liapunov functional.
出处 《云南师范大学学报(自然科学版)》 2008年第5期11-15,46,共6页 Journal of Yunnan Normal University:Natural Sciences Edition
基金 国家自然科学基金资助项目(60671063) 国家自然科学基金资助项目(10071048)
关键词 LOGISTIC模型 反馈控制 全局吸引性 Logistic model feedback control global attractivity.
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  • 1李方,陈斯养.一类具有时滞和干扰的广义Logistic模型的Hopf分支问题[J].西北师范大学学报(自然科学版),2008,44(5):1-6. 被引量:3
  • 2GopalsamyK, LadasG. Oscillations and global attractivity in amodel ofhematopoiesis [ J ]. Dynamics and Differential quations, 1990(2) : 117 - 132.
  • 3Hassard B, Kazarinoff D, Wan Y. Theory and applications of Hopf bifurcation [ M ]. Cambridge: Cambridge Univers Press, 1981.
  • 4MackeyM C. Osccillation and chaos in physiological control systems [ J ]. Science, 1997,197:287 -289.
  • 5CAO D Q,HE P.Sufficent conditions for stability of linear neutral systems with single delay[J].Applied Math-ematics Letters,2004,17(2):139-144.
  • 6LI L M.Stability of linear neutral delay differential systems[J].Bulletin of the Australian Mathematical Socie-ty,1988,38:339-344.
  • 7HU G DA,HU G DI,Baruch Cahlon.Algebraic criteria for stability of linear systems with a single delay[J].Jof Computational and Applied Mathematics,2001,135(8):125-133.
  • 8LADAS G,SFICAS Y G.Oscillation of delay differential equations[J].Canad Math Bull,1986,29:438-445.
  • 9GROVE E A,KULENOVIC M R S,LADAS G.Sufficient conditions for oscillation and nonoscillation of neutralequation[J].J Diff Eqns,1987,68:373-382.
  • 10YU Y H.Oscillation of solutions of neutral delay differential equation[J].Acta Mathematical Application Sini-ca,1991,14(3):404-410.

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