In chapter 4, a SIRS epidemic model with stage-structure consisting immature and mature stage and time delay is studied. By using eigenvalue analysis we obtain that the asymptotic behavior of the model and the local asymptotic stability of its equilibrium.
第四章的研究对象是一类具有阶段结构和时滞的SIRS传染病模型，通过对模型的线性近似系统在其平衡态处的特征根分析，得到模型平衡点的局部渐近稳定性等渐近性质。
参考来源 - 几类常见的生态模型的稳定性研究·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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