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Logistic增长的线性反馈控制 被引量:3

LINEAR FEEDBACK REGULATION OF A LOGISTIC GROWTH
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摘要 研究非自治时滞Logistic线性反馈控制系统平衡点的3/2-全局吸引性。 The 3/2-global attractivity theorem of the positive equilibrium of a nonautonomous linear feedback regulation of a logistic growth with delaysis obtained. Similar conditions obtained by Gopalsamy et.al. and by Lalli et.al. are improved prominently.
作者 唐先华
出处 《数学年刊(A辑)》 CSCD 北大核心 2003年第1期101-112,共12页 Chinese Annals of Mathematics
基金 国家自然科学基金(No.10071018)资助的项目
关键词 LOGISTIC模型 全局吸引性 线性反馈控制 生态数学 种群增长 Logistic model, Global attractivity, Linear feedback regulation
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  • 1[1]Hutchinson, C. E., Circular causal systems in ecology [J], Ann. NY Acad. Sci.,50(1948), 221-240.
  • 2[2]Lenhart, S. M. & Travis, C. C., Global stability of a biological model [J], Proc. Amer.Math. Soc., 96(1986), 75-78.
  • 3[3]Wright, E. M., A nonlinear difference-differential equation [J], J. Reine Angew. Math.,194(1955), 66-87.
  • 4[4]Sugie, J., On the stability for a population growth equation with time delay [J], Proc.R. Soc. Edin., 120A(1992), 179-184.
  • 5[5]So, Joseph W.-H. & Yu, J. S., Global attractivity for a population model with time delay [J], Proc. Amer. Math. Soc., 123(1995), 2687-2694.
  • 6[6]Gopalsamy, K., Global asymptotic stability in Volterra's population systems [J], J.Math. Biol., 19(1984), 157-168.
  • 7[7]Gopalsamy, K., Stability and oscillations in delay differential equations of population dynamics [M], Kluwer Academic Publishers, Boston, 1992.
  • 8[8]Kuang, Y., Delay differential equations with applications in population dynamics [M],Academic Press, Boston, 1993.
  • 9[9]Aizerman, M. A. & Gantmacher, F. R., Absolute stability of regulator systems [M],Holden Day, San Francisco, 1964.
  • 10[10]Lasalle, J. P. & Lefschetz, S., Stability by Lyapunov's direct method [M], Academic Press, New York, 1961.

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