... uniformly asymptotically stable 相符渐近不变 Locally Asymptotically Stable 局部渐近稳定 asymptotically stable motion 渐近稳定运动 ...
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When R_0 > 1, by constructing Lyapunov functional, the endemic equilibrium is locally asymptotically stable, by using permanent theorem, the endemic equilibrium is permanent , then as long as 0≤(?) *, time delay (?)
当R_0＞1时,通过构造Lyapunov泛函,证明地方病平衡点是局部渐近稳定的,并利用持久性定理,证明地方病平衡点是持久的,也就是说疾病始终存在,在此条件下,当0≤τ＜τ~*时,时滞τ的变化不影响地方病平衡点的持久性。
参考来源 - 几类非线性生物数学模型的动力学行为研究Then we study the local asymptotic stability of the equilibria in ChapterⅡand in ChapterⅢ, we give three Lemmas and main Theorems of the first model.
在第二章和第三章中,得到了离散时滞模型所有平衡点局部渐近稳定和全局渐近稳定的条件,并给出了3个引理和该模型的主要定理。
参考来源 - 具有非线性种内制约关系和阶段结构的竞争系统研究When R_0~*＜1,there only exists disease free equilibrium and it is local asymptotic stable;When R_0~*＞1,there not only exists unstable disease free equilibrium,but also exists positive endemic equilibrium and it is local asymptotic stable.
当R_0~*＜1时,仅存在无病平衡点且局部渐近稳定;当R_0~*＞1时,除存在不稳定的无病平衡点外,还存在唯一的正地方病平衡点且局部渐近稳定。
参考来源 - 几类传染病模型的定性分析·2,447,543篇论文数据，部分数据来源于NoteExpress
考察具有一对共轭纯虚数特征值的二维非线性临界解析动态系统的局部渐近稳定性。
The locally asymptotic stability of a 2-dimension nonlinear analytic dynamic system with a pair of conjugated imaginary eigenvalues is studied.
获得了解的整体存在惟一性，并给出了非平凡平衡解局部渐近稳定性易验证的充分条件。
The global existence-uniqueness of solutions is obtained and the easy verifiable sufficient conditions for local asymptotic stability of a non-trivial steady-state solutions are given.
根据模型中状态反馈模块和时滞反馈模块的不变性特点，通过构造合适的迭代映射，研究了饱和区域内平衡点的存在性、个数以及局部渐近稳定性。
With the help of FEM numerical simulation method, the performance of cooling towers in terms of stress, displacement and local elastic stability due to aerodynamic loads are examined.
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