充分条件

Satio and Takeuchi proposed this model and then they establishedsu?cient conditions for global attractivity of an interior equilibrium.

Satio和Takeuchi提出了该模型并且给出了保证全局吸引性的充分条件。

The sufficient conditions for persistence and global attractivity of peridic solutions are obtained by means of using differential inequality and constructing suitable Lyapunov function.

研究了一类扩散具有时滞的非自治捕食系统的持久生存与周期解问题，利用微分不等式和L iapunov泛函的方法得到了该系统持久生存与周期解全局吸引的充分条件。

By using comparison principle, the sufficient conditions of this model with global attractivity of infection-free periodic solution and system permanence were obtained.

研究一类具有阶段结构和脉冲免疫的SIR模型，利用比较原理得到此模型无病周期解全局吸引和系统持久的充分条件，并利用数值模拟验证结论。

By using the iteration method,M-matris theory and monotonous theory,the sufficient conditions are obtained for global attractivity and boundedness and persistence of positive solutions of this difference system.

利用迭代理论、M—矩阵理论、单调理论，分析该系统的持久存在性和吸引性，得到了该差分系统一致持久存在和其正解全局吸引的充分条件。

For general nonautonomous case, by means of the lower and upper averages of a function, under the conditions that the restriction on coefficients of the systems is relaxed further, some new results on the logistic equation are obtained, and sufficient conditions are given for permanence and global attractivity of the systems.

对于一般非自治情形，借助于函数的上、下平均值，在进一步放宽了对系数限制的情况下，我们得到logistic方程的一些新结果，给出了系统持久和全局吸引的充分条件。

By applying the comparative theorem and constructing a suitable Lyapunov functional, some sufficient conditions are obtained for guaranteeing that the system is permanent and global attractivity.

利用比较定理结合构造Lyapunov泛函的方法，得到了保证系统永久持续生存及任意正解全局吸引的充分条件。

Firstly, sufficient conditions are given for permanence and global attractivity of the systems, and some results of Li Chuanrong and Lu Songjian on the periodic systems are generalized to general nonautonomous systems.

首先，我们给出了该系统持久和全局吸引的充分条件，把李传荣和卢松坚关于周期系统的有关工作推广到一般非自治系统；其次，改进了周期情形的有关结果。

The existence of the bionomic equilibrium is studied. After that, we consider the system with time-varying harvest effect, sufficient conditions are obtained for the global stability of bionomic equilibrium by constructing a suitable Lyapunov function.

其次分析了生态经济平衡点的存在性，并进一步考虑时变捕获作用的系统，通过构造恰当的Lyapunov函数，得到生态经济平衡点全局稳定的充分条件。

Firsdy, using the linear matrix inequality method and the concept of finite-time boundness, some sufficient conditions of finite-time boundedness for the linear discrete systems with uncertain exogenous disturbance were derived.

针对一类不确定线性离散系统有限时间观测器最优设计问题，利用线性矩阵不等式方法以及有限时间有界的概念，给出了具有不确定外部扰动输入的线性离散系统有限时间有界的充分条件。

Ionomer membrane containing cobaltous ions, exhibiting CO2 facilitated transport and higher acoi/M value are not ample conditions, but are important factors.

离聚体膜含有钴离子、对CO_2具有促进输送作用以及具有较高的αCO_2/N_2是重要的因素，但还不是充分条件，还可能同时与高分子膜的化学结构、聚集态结构及未知因素有关。

She gently rebuff ed him, but agreed that they could be friends

她婉言拒绝了，但同意作为朋友相处。

If in the penal farm, you were sure to be criticized.

要是在劳改农场，你等着挨绳子吧！