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n种群Lotka-Volterra时滞系统的全局稳定性,Ⅲ:必要性(英文) 被引量:3

Global Stability for N-Species Lotka-Volterra Systems with Delay, III: Necessity
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摘要 本文考虑无对角时滞的n种群Lotka-Volterra时滞系统.证明了弱对角占优(IDD)为系统关于所有时滞全局稳定的充要条件. N-species Lotka-Volterra systems without delayed intraspecific compe- tition are considered. It is proved that a system is globally stable for all off-diagonal delays τij ≥ 0 (i ≠ j), if and only if the interaction matrix of the system satisfies condtition (WDD).
出处 《生物数学学报》 CSCD 2000年第1期81-87,共7页 Journal of Biomathematics
基金 Project supported by the National 973 Project of China, grant number G1998030600
关键词 LOTKA-VOLTERRA系统 离散时滞 全局稳定 种群 Lotka-Volterra systems Discrete delays Global stability Necessity
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同被引文献22

  • 1杨逢建,张超龙.具有可变时滞的高阶非自治中立型差分方程的振动性[J].生物数学学报,2006,21(4):564-570. 被引量:1
  • 2Abdurahman X.Teng Zhidong.On the persistence of a nonautonomous n-species Lotka-Volterra cooperative system[J].Appl.Math.Comput.,2004,152(3):885-895.
  • 3Ahmad S,Lazer A C.Average growth and extinction in a competitive Lotka-Volterra system[J].Nonlinear Anal.,2005,62 (3):545-557.
  • 4Zhao Jiandong,Jiang Jifa.Average conditions for permanence and extinction in nonautonomous Lotka-Volterra system[J].J.Math.Anal.Appl.,2004,299(2):663-675.
  • 5Ahmad S,Lazer A C.Average conditions for global asymptotic stability in a nonautonomous Lotka-Volterra system[J].Nonlinear Anal.,2000,40 (1-8):37-49.
  • 6Zhao Jiandong,Jiang Jifa,Alan C.Lazer.The permanence and global attractivity in a nonautonomous LotkaVolterra system[J].Nonlinear Anal.,2004,5(2):265-276.
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