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非负平衡
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  nonnegative equilibrium
    This paper discusses the constructions of the set of nonnegative equilibrium solutions of P(1) and the attraction domains of some nonnegative equilibrium solutions of P(1).
    讨论了P(1)非负平衡解集的结构和其中某些元素的吸引区域。
短句来源
    In this paper by monotone method we solve the bifurcation structure of nonnegative equilibrium solutionof mathematical model for a ecology system and global stability of trivial solution and nontrivial-nonpositivenon. negative solution and staying field of positive solution.
    本文用上下解方法解决了一类生态系统的数学模型的非负平衡解的分支结构及平凡解、既非平凡解又非正解的全局稳定性及正解的逗留区域.
短句来源
    The authors discuss the stability of nonnegative equilibrium points and bifurcation problem for integral-differential equation, obtain the sufficient condition of global stability and give Hopf bifurcation value.
    本文讨论了积分微分方程非负平衡点的稳定性和分支问题 ,得到了正平衡点全局稳定的充分条件 ,并给出系统出现 Hopf分叉的分支值
短句来源
  “非负平衡”译为未确定词的双语例句
    The Stability of the Grouth of Crops and the Controlled Model of Pesticide Unnegative Stability
    农作物生长与农药控制模型在非负平衡点的稳定性
短句来源
    Coexistence of Nonnegative Steady-State Solutions for a Class of Reaction-Diffusion Equations
    一类反应扩散方程非负平衡解的存在性
短句来源
    STABILITY OF UNNAGNTIVE EQUILIBRIUM POINT FOR DGNAMICMODELOF LIFELONG IMMANITY INFECTIONS DISEASE
    终身免疫型传染病动力模型非负平衡点的稳定性
短句来源
    Existence of nonnegative steady-state solution for a class of coupled reaction-diffusion system
    一类耦合型反应扩散系统非负平衡解的存在性
短句来源
    The Existence of Positive Steady-state Solutions to Two Kinds of Biological Models with Inhibitor
    具有抑制项的两类生态模型非负平衡解的存在性
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  nonnegative equilibrium
Necessary and sufficient condition for the existence of a nonnegative equilibrium price vector in the capital market with short-
      
A stability analysis of the models has been performed by taking the parameters q and ρ as bifurcation parameters: the regions in the (ρ,q) plane of existence and stability of nonnegative equilibrium states and limit cycles are determined.
      
In particular, a sufficient condition is derived for the existence of a unique nonnegative equilibrium price vector and derive its explicit formula in terms of exogeneously determined variables.
      
The logistic equation always has the nonnegative equilibrium u = 0, and if a > 0 it also has the positive-equilibrium a/b.
      


In this paper, studied the system: x_1′= —a_1x_1 +a_2x_2+bx_1x_3x_2′=nx_1 + (a_1 +a_2)x_2 x_3′—cx_3+dx_1x_3。Analyzed Stability of non—negartiv, points singularsty for system and obtained if —a_1~2—a_1a_2+a_2n<0, non—negertiv point singularity O(0, 0, 0) is stability in large.

在这篇论文中,研究了系统x_1′=—a_1x_1+bx_1x_3,x_2′=nx_1+(a_1+a_2)x_2,x_3=—cx_3+dx_1x_3的非负平衡点的稳定性,一般说来,如果-a~2_1—a_1a_2+a_(2n)<0就能得到一个非负的O(0,0,0)的稳定性。

In this paper a competitor-competitor-mutualist model in ecology is studied. By using monotone method the existence of non-negative equilibrium solutions in which at least one component is zero and their global stability are proved. Under assuming that positive solutions exist persistence regions are obtained. Using another kind of iteration scheme the existence and global stability of positive eqilibrium solutions with Neumann boundary condition are also proved.

本文讨论一个竞争-竞争-互助型的生态学模型。利用单调方法证明了非负平衡解的存在性和全局稳定性(其中至少一个分量为零)。在存在正平衡解的条件下,得到了初值问题解的逼留区域。对Neumann边条件的情形,采用另一迭代格式证明正平衡解(三个分量均不为零)的唯一性和全局稳定性。

This paper discusses the constructions of the set of nonnegative equilibrium solutions of P(1) and the attraction domains of some nonnegative equilibrium solutions of P(1). Thus the large time behaviors of partial nonnegative solutions of P(1) are cleared up. As an application, some valuable results in Population Dynamics are obtained. Where P(1) denotes the following initial-boundary problem:

讨论了P(1)非负平衡解集的结构和其中某些元素的吸引区域。由此弄清了部分P(1)非负解的渐近状态,作为应用,得到一些在生物群体运动中有参考价值的结果。其中P(1)表示如下初、边值问题:

 
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