研究具有非线性生育率的阶段结构系统，得到了该系统平衡点全局稳定性的充分条件。
This pape probes to the stage-structure systtm with nonlinear fertility rate, making clear the ample conditions of the systtm's global stability of the equilibriums.
摘要研究了具反应扩散有限连续分布细胞神经网络的平衡点的存在性及全局指数稳定性问题。
The existence of the equilibrium point and global exponential stability of distributed delays neural networks with reaction-diffusion terms are investigated in this paper.
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.
讨论了其无病平横点和正平衡点的存在及全局稳定性。
The existence and the global stability of the equilibrium for the model are discussed.
应用常微分方程定性方法，得到了正平衡点的全局稳定性和非小振幅极限环的存在唯一性的充分条件。
By using the qualitative methods of ODE, the positive equilibrium's global stability and existence and uniqueness of non-small amplitude stable limit cycle were obtained.
在一定的条件下我们证明了非线性互补问题的解是该微分方程系统的平衡点，并且证明了该微分方程系统的稳定性和全局收敛性。
We prove that the solution of a nonlinear complementarity problem is exactly the equilibrium point of differential equation system, and prove the asymptotical stability and global convergence.
讨论了一类具有有界可变时滞分离变量系统平衡点的全局指数稳定性。
The global exponential stability of equilibrium states of a class of nonlinear separated variables systems with bounded time-varying delays was investigated.
讨论了一类带有扩散和具有阶段结构与时滞的两种群捕食系统，分析了该系统的非负不变性、边界平衡点性质及全局渐近稳定性。
A system of retarted functional differential equations as a predator-prey model with stage structure and dispersion is discussed. Conditions for global stability of the system are given.
这种方法以矩阵分解为工具，结合平衡点的渐近稳定判据，用分解矩阵的稳定性决定平衡点的全局渐近稳定性。
This method takes the matrix resolving as a tool, combined with criterion of progressive stability and determines the equilibrium point by stability of matrix resolving.
运用建立辅助方程的方法研究一类非线性有理差分方程正平衡点的全局渐近稳定性，得到一个充分条件。
Global asymptotic stability of a class of nonlinear rational difference equations was studied by means of setting up an auxiliary equation, so that a sufficient condition was obtained.
研究了免疫响应系统无病平衡点和正平衡点的全局稳定性问题。
The global stability of the disease-free equilibrium and the epidemic equilibrium in the immune-response system is studied.
当该系统具有收获率时，证明了该系统若存在正平衡点，则它是全局不稳定性。
When this system has harvesting rate, we have also proved that if there is a positive equilibrium point in the system, it is then globally unstable.
通过构造函数及根据不变集原理证明了无病平衡点和地方病平衡点的全局渐近稳定性；
Then the disease-free equilibrium point and endemic equilibrium point were proved with global asymptotic stability by constructing functions and basing on the invariant set principle.
讨论了一类具有有界可变时滞分离变量系统平衡点的全局指数稳定性。
The stabilization problem for a class of nonlinear continuous control systems with separated variables is investigated.
讨论了一类具有有界可变时滞分离变量系统平衡点的全局指数稳定性。
The stabilization problem for a class of nonlinear continuous control systems with separated variables is investigated.
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