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一类生态系统的周期解的全局渐近稳定性

金均

金均. 一类生态系统的周期解的全局渐近稳定性[J]. 应用数学和力学, 1988, 9(8): 753-758.
引用本文: 金均. 一类生态系统的周期解的全局渐近稳定性[J]. 应用数学和力学, 1988, 9(8): 753-758.
Jin Jun. On the Global Asymptotic Stability of Periodic Solutions of a Class of Ecological System[J]. Applied Mathematics and Mechanics, 1988, 9(8): 753-758.
Citation: Jin Jun. On the Global Asymptotic Stability of Periodic Solutions of a Class of Ecological System[J]. Applied Mathematics and Mechanics, 1988, 9(8): 753-758.

一类生态系统的周期解的全局渐近稳定性

On the Global Asymptotic Stability of Periodic Solutions of a Class of Ecological System

  • 摘要: 本文研究了有三个种群相互作用的数学模式: 我们分别建立了系统(*)和(**)存在唯一的大范围渐近稳定的正周期解的充分条件.
  • [1] Stein,M.,Loads and deformations of buckled rectangular plates,NASA TR R-40(1959).
    [2] Walker,A.C.,The post-buckling behavior of simply-supported square plates,Aero,Quart.,20(1969),203-222.
    [3] Supple,W.J.,Change of wave-form of plates in the post-buckling range,Int.J.Solids Structures,6(1970),1243-1258.
    [4] Stoebel,G.J.and W.H.Warner,Stability and secondary bifurcation for von Krmn plates,J.Elasticity,3(1973),185-202.
    [5] Dombourian,E.M.,C.V.Smith and R.L.Carlson,A perturbation solution to a plate postbuckling problem,Int.J.Non-Linear Mech.,11(1976),49-58.
    [6] Uemura,M.and O.Byon,Secondary buckling of a flat plate under uniaxial compression,Part 1:Theoretical analysis of simply supported flat plate,Int.J.Non-Linear Mech.,12(1977),355-370.
    [7] Nakamura,T.and K.Uetani,The secondary buckling and post-secondary-buckling behaviors of rectangular plates,Int.J.Mech.Sci.,21(1979),265-286.
    [8] Carnoy,E.G.and T.J.R.Hughes,Finite element analysis of the secondary buckling of a flat plate under uniaxial compression,Int.J.Non-Linear Mech.,18(1983),167-175.
    [9] 张建武、范祖尧,简支矩形板后屈曲平衡路径的一个摄动解,上海交通大学学报,18,5(1984),101-112.
    [10] 张建武、范祖尧,压缩简支矩形板二次屈曲和二次分枝点分析,应用力学,3,3(1986),1-23.
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出版历程
  • 收稿日期:  1987-05-27
  • 刊出日期:  1988-08-15

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