高校应用数学学报990106 关键词 Lotka-Volterra系统，平衡解，渐近稳定性. [gap=504]Keywords Lotka-Volterra Systems, Equilibrium, Asymptotic Stability.
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渐近稳定性 [自] asymptotic stability ; asymptoticst abiilty
一致渐近稳定性 [自] uniformly asymptotic stability
等度渐近稳定性 equi asymptotic stability
全局渐近稳定性 [数] global asymptotic stability
E-渐近稳定性 E asymptotic stability
大范围渐近稳定性 asymptotic stability in the large ; Global asymptotic stability
联结渐近稳定性 connective asymptotic stability
它们可统一处理，滤波，平滑和预报问题，且具有渐近稳定性。
They can handle the prediction, filtering and smoothing problems in a unified frame work, and have asymptotic stability.
分析了系统的非负不变性、边界平衡点性质及全局渐近稳定性。
Mathematical analyses of the model equations with regard to invariance of non-negativity, nature of equilibria and global stability are analyzed.
本文给出了一个关于部分变元渐近稳定性的判定定理，推广了有关文献中的有关结果。
This paper gives one determining theorem for asymptotic stability of partial variables and develops the results recorded in the related papers.
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