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We gain conditions for persistence for three-species of the system and global asymptotic stability for positive periodic solution of the system.

研究了一类具有扩散系数和 Holling 类功能反应的一捕两食三种群非自治捕食系统,得到了系统持久生存和周期系统存在唯一全局渐近稳定的周期解的条件。

In this paper,by using the comparison theorems and constructing suitable Lyapunov function, the sufficient conditions are obtained for the permanence and existence of globally asymptotically stable positive periodic solution of the system.

研究了具有反馈控制的n种群非自治周期竞争系统的持续性,利用微分不等式并构造适当的Lyapunov函数得到系统存在惟一、全局吸引的正周期解的充分条

This paper consists of three parts:We first consider the non-autonomous predator-prey system with both Beddirigton-DeAngelis functional response and dispersion. By using comparison theorem of differential equation, we study the permanance of the system. After that, by constructing suitable Lyapunov function, we obtain some sufficient condition which guarantee the existence of globally asymptotically stable almost periodic solution of the system.

本文研究三方面的内容:第一部分考虑具有扩散和Beddington—DeAngelis功能反应的捕食-食饵系统,利用微分方程比较原理得到该系统一致持续生存的条件;通过构造适当的Lyapunov函数得到了该系统存在全局渐近稳定概周期解的充分条件。

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。

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。

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。

In Chapter 3, we consider periodic solutions and equilibria at infinity for a generalized Brusselator system.

所以,关于无穷远奇点的一些分析和判断方法也在第二章中给出(来源:bfbfAfbBC论文网www.abclunwen.com)。

If one was to look at the Table of Periodic Properties of the Elements, one would notice that the atomic structure of each element is illustrated.

如果是看表的周期性质的元素,人们会发现,原子结构的每个元素说明。

Of course, a periodic table cannot be complete unless it has the atomic mass of the element and so this table uses the rank of the web page as it's "mass".

当然,在元素周期表中,可以是不完整的,除非它拥有原子质量的元素,所以本表使用秩该网页,因为它的"地下"。

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本文从逻辑设计的角度讨论遥测输出接口的设计及实现方法。

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