查询词典 stable equilibrium

By combining mathematical analysis with numerical simulation, we have shown that the Allee effect may be a destabilizing force in predator-prey systems: the equilibrium point of the system could be changed from stable to unstable or otherwise, the system, even when it is stable, will take much longer time to reach the stable state.

由于捕食者或猎物Allee效应的存在，系统的平衡点要么由渐进稳定变为中性稳定或不稳定，要么系统需要更长的时间才能到达平衡状态。

The topics covered include: cooperative stochastic games; noncooperative stochastic games; sequencing games; games arising form linear infinite programming problems; network formation, costs and potential games; potentials and consistency in transferable utility games; the nucleolus and equilibrium prices; population uncertainty and equilibrium selection; cost sharing; centrality in social networks; extreme points of the core; equilibrium sets of bimatrix games; game theory and the market; and transfer procedures for nontransferable utility games.

包括的题目包括︰合作的随机的比赛； noncooperative随机的比赛；排序比赛；出现的比赛形成线的无限的编程问题；网路阵式，费用和潜在的比赛；用可转让的效用游戏的潜能和一致；核仁和均衡价格；人口不确定和均衡选择；费用分享；在社群网里的centrality；核心的极端点；均衡bimatrix 比赛；运筹学和市场；并且转移不可过户的效用比赛的程式。

The application of the lattice Boltzmann method in unsteady open channel flows was studied in detail in the paper. An existing lattice BGK model was mended; For the problem of negative local equilibrium and evolutionary distribution, we proposed a lattice Boltzmann model based on cell-population equilibrium, which is a direct non-negative approximation to the continuous Maxwell distribution. The model reduces the transport and collision, two basic evolution steps in the LB model, to transport of the non-equilibrium distribution.

本文系统的研究了格子Boltzmann 方法在明渠非恒定流中的应用问题，改进了一个现有的LB 模型，数值实验表明此改进是有效的；在平衡态分布函数及分布函数的非负性问题上，作者提出了一个基于单元均衡的格子Boltzmann 模型，通过直接对Maxwell 分布函数的离散化实现对速度分布函数的非负离散，这种方法将传统模型演化过程中的碰撞和输运两个步骤直接表现为粒子的输运。

By means of equilibrium outcome analysis of merger game, it gives the decision basis that rational firm strategically selects merger model and analyze the interests conflict between consumers and firms and government under the equilibrium merger model in the imperfect information analysis, by means of the prior probability of firm marginal cost described by continuous distribution function, the passage clarifies the relations between pre-emptive merger with rational expectation and equilibrium merger model, in the vertical relation industry.

在对不完全信息下企业兼并博弈的分析中，通过以连续分布函数形式描述的企业边际成本的先验概率，本文给出了具有纵向关系的产业中，具有理性预期的先置兼并作用及与均衡的兼并模式之间的关系。

Here the deriver' self-equilibrium velocity denotes the deriver' desired equilibrium velocity accompanying that the traffic flow is in the equilibrium state. Consequently the adaptive flux model like Navier-stokes traffic equation is derived from the extended Paveri-Fontana equation. Characteristics and the linear stability are analyzed. Numerical solution of the macroscopic traffic equations verifies rationality of our model.

把适应性公式和约化Paveri-Fontana等式结合得到扩展的Paveri-Fontana方程，通过使用Chapman – Enskog方法导出类Naveri-Stokes 方程的适应性交通流模型；通过线性稳定性分析，得到了适应性交通流模型的稳定条件；通过对算例的数值分析与其它连续性模型和交通实测数据的对比，验证了我们模型的合理性。

This paper introduces the relationship and application of dissociation equilibrium,precipitation-dissolution equilibrium,and redox equilibrium in chemical reactions.

文章介绍了化学反应中的配合离解平衡与沉淀溶解和氧化还原平衡的关系及其应用。

For the infective subsystem, we obtain the existent condition of the subsystem equilibrium point and the uniqueness of the positive equilibrium point by the no infectious subsystem's conclusion and the image analysis. The partial stability of the subsystem equilibrium points is discussed by analyzing eigenvalue. The condition that the system has no limit cycle is obtained by the Dulac function.

对染病子系统，利用无病子系统所得结论及图像分析法，得到了系统平衡点的存在条件，正平衡点的存在唯一性；利用特征根方法判断了系统平衡点的局部稳定性；利用Dulac函数得到了系统不存在极限环的条件；利用极限方程理论得到了系统疾病消除平衡点和地方病平衡点的全局稳定性。

In this thesis, we study two problems: the existence results of solutions for generalized vector quasi-equilibrium problems and Hlder continuity of solutions to generalized vector equilibrium problems. The detailed contents are listed as following:In Hausdorff topological vector space, we discuss the existence results of solutions for three types of generalized vector quasi-equilibrium problem (GVQEP1,(GVQEP2) and (GVQEP3), for short respectively.

本文主要研究了两类问题：广义向量拟平衡问题解的存在性以及广义向量平衡问题解的Hlder连续性，具体内容如下：在Hausdorff向量拓扑空间中，讨论了三类广义向量拟平衡问题(GVQEP1)，(GVQEP2)和(GVQEP3)解的存在性定理。

The results show that the addition of certain manganese in high chromium cast iron leads to a re-partitioning of alloy elements between austenite and carbide and a dropping in equilibrium phase transformation temperature although it's inappreciable for the influence of manganese on mass fractions of every phase in this cast iron. There is about 87 percent ledeburite under thermodynamic equilibrium condition and 23 to 32 percent M7C3 type carbide under thermodynamic non-equilibrium condition in the microstructure of 3C-l5Cr-4Mn-0.75Si system high chromium cast iron. Furthermore, the improvement of austenite stability and hardenability of manganese alloyed high chromium cast iron may been expected because there is a substitution between manganese and chromium that has been suggested by thermodynamic calculations.

结果表明，锰虽然对高铬铸铁中的各相数量影响不大，但一定数量的锰存在促使合金元素在奥氏体和碳化物两相中的重新分配，并降低平衡相的转变温度；在平衡条件下3C-15Cr-4Mn-0.75Si系高铬铸铁中菜氏体数量约占87%，而非平衡条件下M7C3型碳化物数量在23%-32%之间，且奥氏体中锰铬互替现象保证了奥氏体的稳定性和加锰高铬铸铁的淬透性。

The results show that the addition of certain manganese in high chromium cast iron leads to a re-partitioning of alloy elements between austenite and carbide and a dropping in equilibrium phase transformation temperature although it＇s inappreciable for the influence of manganese on mass fractions of every phase in this cast iron. There is about 87 percent ledeburite under thermodynamic equilibrium condition and 23 to 32 percent M7C3 type carbide under thermodynamic non-equilibrium condition in the microstructure of 3C-15Cr-4Mn-0.75Si system high chromium cast iron. Furthermore, the improvement of austenite stability and hardenability of manganese alloyed high chromium cast iron may been expected because there is a substitution between manganese and chromium that has been suggested by thermodynamic calculations.

结果表明，锰虽然对高铬铸铁中的各相数量影响不大，但一定数量的锰存在促使合金元素在奥氏体和碳化物两相中的重新分配，并降低平衡相的转变温度；在平衡条件下3C-15Cr-4Mn-0.75Si系高铬铸铁中莱氏体数量约占87％，而非平衡条件下M7C2型碳化物数量在23％～32％之间，且奥氏体中锰铬互替现象保证了奥氏体的稳定性和加锰高铬铸铁的淬透性。

The dissecting of samples in group2 were difficult. The root of pulmonary artery and ascending aorta failed to be unfolded because fibrous tissue was tough, right and left fibrous trigone were too firm to be solved by hand. Cardiac muscle fibers couldn't be stripped along myofibrillar trajectory since they were prone to break because of their friability.

组2的心脏解剖困难，表现为纤维组织坚韧，游离肺动脉非常困难；徒手无法松解左、右纤维三角，肺动脉和主动脉根部的游离非常困难；心肌纤维坚硬、质脆，解剖时容易断离成碎块，无法沿纤维走行方向剥离。

We have battled against the odds in a province that has become increasingly violent.

我们对在一个争夺日益激烈省的可能性。