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具有反馈控制的广义Logistic增长模型 被引量:3

Generalized Logistic Growth Model with Feedback Regulation
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摘要 研究了非自治连续时滞的广义Log istic线性反馈控制系统的全局吸引性,应用微分不等式的技巧得到了该模型全局吸引的充分条件,推广了前人结果。 Global attractivity for a nonautonomous regulated generalized logistic growth with continuous delay is studied. By using differential inequations,the sufficent conditions for global attractivity are obtained. Some known results are improved.
出处 《广西师范大学学报(自然科学版)》 CAS 北大核心 2006年第1期41-44,共4页 Journal of Guangxi Normal University:Natural Science Edition
基金 国家自然科学基金资助项目(10071048)
关键词 连续时滞 LOGISTIC模型 全局吸引性 continuous delay logistic model global attractivity
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参考文献4

  • 1GOPALSAMY K.Stability and oscillations in delay differential equations of population dynamics[M].Boston:Kluwer Academic Publishers,1991.
  • 2GOPALSAMY K,WENG Pei-xuan.Feedback regulation of logistic growth[J].Internet J Math and Math Sci,1993,16:177-192.
  • 3廖六生,庾建设,王林.具反馈控制的LOGISTIC增长模型[J].应用数学学报,2002,25(2):272-278. 被引量:4
  • 4LIAO Liu-sheng.Feedback regulation of a logistic growth with variable coefficients[J].J Math Anal Appl,2001,259:489-500.

二级参考文献6

  • 1[1]Gopalsamy K. Stability and Oscillations in Delay Differential Equations of Population Dynamics.Boston: Kluwer Academic Publisher, 1992
  • 2[2]Gopalsamy K, Wang Pei-xuan. Feedback Regulation of Logistic Growth. Internat. J. Math. and Math. Sci., 1993, 16:177-192
  • 3[3]Wright E M. A Nonlinear Difference Differential Equation. J. Reione Angew. Math., 1995, 194:6687
  • 4[4]Joseph So W H, Yu J S. Global Attractivity for a Population Model with Time Delay. Proc. Amer.Math. Soc., 1995, 123:2687-2694
  • 5[5]Chen M P, Yu J S, Qian X Z, Wang Z C. On the Stability of a Delay Differential Population Model.Nonlinear Analysis, TMA, 1995, 25:187-195
  • 6[6]Lalli B S, Yu J S, Chen Ming-Po. Feedback Regulation of a Logistic Growth. Dynamic Systems and Applications, 1996, 5:117-124

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