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Using Floquet theory and small amplitude perturbation method, we prove thatthe microorganism-eradication periodic solution is asymptotically stable if the impulsive periodsatisfies some conditions.

利用Floquet理论和小振幅干扰的方法证明脉冲周期满足一定条件时，微生物灭绝周期解是渐近稳定的。

By means of generalized Lyapunov function and linear matrix inequality,the asymptotical stability with zero solution is studied for the system,and a sufficient condition is given such that the system is asymptotically stable with zero solution and also a H∞ norm constraint .

针对非线性离散广义系统研究了状态反馈H∞控制器的设计问题，利用广义Lyapunov函数和线性矩阵不等式，首先对系统的零解渐近稳定问题进行了研究，并在此基础上给出了系统的零解渐近稳定且具有H∞范数约束的充分条件，之后设计了状态反馈H∞控制器，使闭环系统具有同样的性能，最后给出了数值算例说明本文结论的有效性和可行性

In chapter 2, we have set up a dynamics model which canreflect the toxin change of the organism in an impulsive polluted environment. The resultsshow that under the impulsive effect of the toxicants, the toxin concentration in the organismswill asymptotically tend to a stable periodic solution.

第二章建立了脉冲污染环境中生物体内毒素变化的动力学模型，研究表明在脉冲污染作用下，种群体内的毒素浓度将渐进到一个周期解上。

Secondly, by linearizing the system at the unique positive equilibrium solution and analyzing the associated characteristic equation, it is found that the positive equilibrium solution is asymptotically stable when the delay equals to zero and when it is increased to certain critical value, the positive equilibrium solution will loss the stability and a spatially heterohomogeneous periodic solution will bifurcate from this positive equilibrium solution.

通过在系统唯一的正平衡解处线性化系统和分析相应的特征方程，发现在时滞等于零时该正平衡解是渐近稳定的，当时滞逐渐增大到某个临界值时该正平衡解将失去稳定性而且在该平衡解处分支出空间非齐次的周期解。

With the help of comparison theorem, sufficient conditions which guarantee permanence of the system are obtained. For the almost periodic case, by constructing a suitable Liapunov function, we obtained that the system has a unique globally asymptotically stable positive almost periodic solution. Finally, we study a multispecies predator-prey system with stage structure and Holling II type functional response.

第二部分考虑具有阶段结构的非自治扩散捕食系统，利用比较定理得到该系统持久生存的充分条件，其后在概周期情形下通过构造合适的Liapunov函数得到了保证该系统存在唯一一个全局渐近稳定的概周期解的条件。

This paper consists of three parts: Firstly, we discuss a nonautonomous -species two-patches cooperative Lotka-Volterra diffusion system. Using Brouwer fixed-point theory and Liapunov function, under some conditions, we obtain that the system has a unique globally asymptotically stable positive periodic solution. Secondly, we consider a kind of nonautonomous predator-prey model, in which preys are with stage structure and the predator are with two patches.

中文摘要：本文分三部分讨论三类生态模型周期解或概周期解的存在性及全局渐近稳定性等内容：第一部分讨论了两斑块种群的互惠Lotka-Volterra扩散系统，运用不动点理论和构造Liapunov函数，得到了系统存在唯一一个全局渐近稳定的正周期解的充分条件。

B=-3. 0 and h=0.25 a=-1. 5, b=-1. 4 and h=0.5. We see that for both the sets of data, BDF method of second order applied to delay differential equation gives an asymptotically stable solution i.

对于这两组数据而言，二阶BDF方法为延迟微分方程给出了渐近稳定解，即当n→∞时，y〓→0。

These conditions can be used to design globally asymptotically stable and globally exponentially stable networks.

这些条件可以用于设计全局渐近稳定和全局指数稳定的神经网络。

It is shown that if R01, it is unstable, but the endemic equilibrium is locally asymptotically stable.

并证明了，如果R01，则它是不稳定的，但是，地方病平衡点是局部渐近稳定的。

A sufficient condition of the analytical solution of the system which is asymptotically stable is derived.

其中 ，中立型方程为电网的能量耗损等问题提供了有效的数学模型。

The witness also told the jury at the Royal Courts of Justice in London that he saw a paparazzo fighting with a member of the public who was trying to stop him taking pictures in the minutes before the emergency services arrived.

他还告诉在伦敦皇家法庭的陪审团，在急救服务到来之前，他当时看见一个狗仔队正和一群阻止他拍照的人打架。

The entire N／C program on a tape is made up of an accumulation of these successive data blocks.

纸带上的整个数控程序由这些连续数据单元连接而成。