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We rst use three different methods to analyze the global stability of the unique positive equilibrium point of the system without time delay. 首先，我们利用三种不同方法分析不具时滞参数之竞争系统的整体稳定性。
The paper is regarding a fourth-order rational difference equation, proving that the positive equilibrium point of the equation is globally asymptotically stable. 研究了一个四阶有理差分方程,证明了该方程的正平衡点是全局渐近稳定的。
In this thesis, we are interested in studying the stability of the unique positive equilibrium point of a nonselective harvesting of a predator-prey fishery system with time delay. 摘要本篇论文主要是研究具时滞参数的非选择性捕食渔获系统之整体稳定性。
Analysis of the Positive Equilibrium Point in a Diffusion System with Two-Predators and One-Prey 两捕食-食饵扩散系统正平衡点的存在性与稳定性
positive equilibrium point 正平衡点
The positive equilibrium is stable if the dispersal rate is small. 当扩散率较小时, 该系统的正平衡点是稳定的;
positive equilibrium points 正平衡点
If we let go, the elastic energy, as the spring passes through the equilibrium point, is converted to kinetic energy. 如果我们释放弹簧，那么弹簧经过平衡点时，弹性能就转变为动能。
The first CNN layer functions as an adaptive filter which converges asymptotically to an equilibrium point in the mean. CNN的第一层功能是一只自适应渐近收敛于平衡点的滤波器。
Utilizing the monotonic theorem we get the condition to guarantee the existence and uniqueness of the positive equilibrium. 文章利用单调性理论得到了系统存在唯一正平衡点的条件并研究了此正平衡点的稳定性。
Comparative US/euro interest rates price itself into an equation of the dollar/euro rate, finding an equilibrium point. 当前的美元／欧元利率比将其放入美元／欧元的比率的计算公式中，就会找到一个平衡点。
The results showed a floristic equilibrium point at 2050m elevation on Mt.Yao, northeastern Yunnan, China. 以药山自然保护区为例的区系平衡点计算结果表明，该区域的区系平衡点海拔在2050m左右；
Yet unless a system stabilizes to an equilibrium point, it is no better than an explosion and just as soon dead. 然而，一个系统若不能在某一平衡点上保持稳定，就几乎等同于引发爆炸，迅速灭亡。
A kind of predator-prey system with mutual interference is presented firstly, then the boundedness of the solution and the existence of positive equilibrium are analysized. 摘要首先给出一类具有相互干扰的两种群捕食系统，分析了其解的有界性及正平衡点的存在性，证明了正平衡点是全局渐近稳定的。
In this paper, a stage-structured predator-prey model is studied. Sufficient conditions for the globally asymptotical stability of positive equilibrium are established. 文章研究了具有年龄结构和时滞的捕食-食饵模型;建立了正平衡点全局稳定的充分条件.
The positive equilibrium is unstable and the system bifurcates a spatial periodic solution of small amplitude if the dispersal rate is located in an interval. 当扩散率增大且位于某一开区间内变化时, 该系统的正平衡点是不稳定的, 而且分出唯一的小振幅空间周期解;
A asymptotically stability of equilibrium point of the model was analysized.The threshold is found which the epidemic or die out. 分析了该模型平衡点的渐近稳定性，得到了传染病最终消除和成为地方病的阈值。
Several new criteria are given to ascertain the uniqueness and global asymptotic stability of the equilibrium point for the CNN with multiple time varying delays. 给出了多时变时滞细胞神经网络平衡点唯一性和全局渐近稳定的新判据.
Several new sufficient criteria were given to ascertain the uniqueness and the global asymptotic stability of the equilibrium point for the CNN with multiple time-varying delays. 给出了多时变时滞细胞神经网络平衡点唯一性和全局渐近稳定的几个新充分判据。
This paper analyses the dynamics of rotary inverted pendulum system and linearizes the pendulum system at the unstable equilibrium point at the "inverted" state. 摘要通过分析环型二级倒立摆系统的动力学特性，将系统的状态空间方程在“倒立”的平衡点附近进行线性化处理，应用线性二次型优控制策略。