positive equilibrium      正平衡点(132) 正平衡(223) 正平衡态(10) 正平衡解(16)   正平衡点      In this paper, we consider difference equation xu+1 = αxn/, n = 0, 1, 2,…. where α∈(1, ∞), βi ∈[0, ∞) and β= ∑βi > 0, k ∈{0, l, 2,…}. We obtain sufficient i=1 conditions for the positive equilibrium (α- l)/βof this equation to be global attractor.      考虑差分方程xn＋1＝αxn／（1＋Σβixn－i），n＝0，1，2，…．其中α∈（1，∞）且β＝∑β＞0，k∈｛0，1，2…｝．获得了使方程的正平衡点X＝（α－1）／β为全局吸引的新充分 条件． 短句来源      ii) the positive equilibrium points of this system is global asymptotically stable if and only if-A∈P.      ii)系统的正平衡点全局渐近稳定的充要条件是-A∈P. 短句来源      The existence and global stability of positive equilibrium points of n-dimensional Lotka-Volterra circle systems =X(b+Ax) was discussed and the following conclusion was obtained:i) if -A∈P ,then the system has only one positive equilibrium point.      讨论了一类n维环型Lotka-Volterra系统 x=X(b+Ax)存在正平衡点的充分条件及正平衡点全局渐近稳定的充分必要条件,得到结论:i)若-A∈P,系统有唯一的正平衡点; 短句来源      The oscillation of positive solutions about the positive equilibrium. of a food limited population model =1 of a food limited population model N′(t)=r(t)N(t)1-N(t-τ)1+cN(t-τ) is investigated, We obtain a sufficient condition of the oscillation about the positive equilibrium =1.      研究了一类有限食物人口模型N′(t) =r(t)N(t) 1 -N(t -τ)1 +cN(t -τ)的正解关于正平衡点的振动性 ,获得了其正解关于正平衡点 N =1振动的一个好的充分条件 短句来源      In this paper, the author gives different sufficient conditions that guarantee ev- ery positive solution of the equation N'(t) =r(t)N(t)(l-bN(t-τ）-cN2（t-τ)) to tend to the positive equilibrium N* , some results obtained by Gapasarny, Ladas and Luo are improved.      本文给出保证平方Logistic方程N′（t）＝r（t）N（t）（l-bN（t-τ）－cN2（t-τ））的每一正解N（t）趋于正平衡点N*的一组充分条件．改进了 Gapalsamy，Ladas和罗交晚等人的结果． 短句来源 更多          正平衡      Global Attractivity of Positive Equilibrium of the Model N′(t) = N(t)(1-bN(t-τ)-cN~2(t-τ))      方程N′(t)=r(t)N(t)(1-bN(t-τ)-cN~2(t-τ))正平衡点的全局吸引性 短句来源      The genotype selection model is consideredy n+1 =y n e β n(1-ay n) 1-y n+y n e β n(1-ay n) , n=0,1,2…y 0∈(0,1), a sufficient condition for any solutions of tending to the positive equilibrium solution M=1/α obtained.      研究一类基因选择模型yn+ 1=yneβn( 1-ayn)1-yn+yneβn( 1-ayn) ,　n=0 ,1,2…y0 ∈ (0 ,1) ,获得了关于正平衡解M =1/α的全局吸引性的充分条件 短句来源      In this paper, we consider difference equation xu+1 = αxn/, n = 0, 1, 2,…. where α∈(1, ∞), βi ∈[0, ∞) and β= ∑βi > 0, k ∈{0, l, 2,…}. We obtain sufficient i=1 conditions for the positive equilibrium (α- l)/βof this equation to be global attractor.      考虑差分方程xn＋1＝αxn／（1＋Σβixn－i），n＝0，1，2，…．其中α∈（1，∞）且β＝∑β＞0，k∈｛0，1，2…｝．获得了使方程的正平衡点X＝（α－1）／β为全局吸引的新充分 条件． 短句来源      ii) the positive equilibrium points of this system is global asymptotically stable if and only if-A∈P.      ii)系统的正平衡点全局渐近稳定的充要条件是-A∈P. 短句来源      The existence and global stability of positive equilibrium points of n-dimensional Lotka-Volterra circle systems =X(b+Ax) was discussed and the following conclusion was obtained:i) if -A∈P ,then the system has only one positive equilibrium point.      讨论了一类n维环型Lotka-Volterra系统 x=X(b+Ax)存在正平衡点的充分条件及正平衡点全局渐近稳定的充分必要条件,得到结论:i)若-A∈P,系统有唯一的正平衡点; 短句来源 更多          正平衡态      Using the Dulac function can prove the autonomous system's positive equilibrium is globally asymptotical stable.      应用Dulac函数我们证明自治系统的正平衡态的全局稳定性。 短句来源      For the model with time-dependent birth pulses,using the stroboscopic map,the theory on bifurcation and numerical analysis,the existence and stability of the positive equilibrium are obtained.      对具有密度依赖生育脉冲的模型,运用频闪映射,结合分支理论和数值分析,得到了正平衡态的存在性、稳定性; 短句来源      By using upper- and lower- solution method of partial functional differential equations and oscillation theory of functional differential equations, the oscillation of a partial population equation with delay is studied and a sufficient condition for all positive solution of the equation to oscillate about the positive equilibrium is obtained.      研究一类时滞偏生态模型解的振动性 ,利用平均法 ,通过使用偏泛函微分方程上下解思想和泛函微分方程振动性理论 ,获得了其解的非负性和关于正平衡态振动的充分条件 . 短句来源      By using upper- and lower-solution method of partial functional differential equations and oscillation theory of functional differential equation, the oscillation of a partial differential equation with diffusion and delay is studied and a sufficient condition for all positive solution of the equation to oscillate about the positive equilibrium is obtained.      研究一类含扩散和时滞的偏微分方程解的振动性,利用平均法,通过使用偏泛函微分方程上、下解思想和泛函微分方程振动性理论,获得了其解的非负性和关于正平衡态振动的充分条件． 短句来源      The stability of a positive equilibrium point of the following predator-prey model are investigated dx(t)dt=rx(t-τ)-Dx(t)-αx-2(t)y(t)x-2(t)+β-2 dy(t)dt=kαx-2(t)y(t)x-2(t)-β- 2-ey(t)-cy-2(t) The necessary and sufficient conditions of unconditional stability are given f or this system and stability switches are discussed.      研究食饵与捕食者两种群生态系统dx( t)dt =rx( t-τ) -Dx( t) -αx2 ( t) y( t)x2 ( t) +β2dy( t)dt =kαx2 ( t) y( t)x2 ( t) +β2 -ey( t) -cy2 ( t)的稳定性 ,给出了该系统正平衡态无条件稳定的充要条件并讨论了其开关现象 短句来源 更多          正平衡解      The genotype selection model is consideredy n+1 =y n e β n(1-ay n) 1-y n+y n e β n(1-ay n) , n=0,1,2…y 0∈(0,1), a sufficient condition for any solutions of tending to the positive equilibrium solution M=1/α obtained.      研究一类基因选择模型yn+ 1=yneβn( 1-ayn)1-yn+yneβn( 1-ayn) ,　n=0 ,1,2…y0 ∈ (0 ,1) ,获得了关于正平衡解M =1/α的全局吸引性的充分条件 短句来源      Global Stability of Positive Equilibrium of Nonlinear Age Structured Population Model      一个非线性年龄结构种群模型正平衡解的全局稳定性 短句来源      By using the limit method and iteration method of the analysis theory and inequality technique,the sufficient conditions are obtained for global attractivity of the positive equilibrium of the nonlinear difference equation.      利用分析理论中的极限方法和迭代方法以及不等式技巧,分别给出了该方程的正平衡解是全局吸引的若干充分条件. 短句来源      Global stability of positive equilibrium solution in a three species cooperating model      一类三物种互助模型正平衡解的全局稳定性 短句来源      Stability study is made for the positive equilibrium of a nonlinear age structured population model by constructing two systems for comparison and using the comparison principle, necessary and sufficient conditions are obtained for the global stability of positive equilibrium.      研究一个非线性年龄结构种群模型正平衡解的稳定性，通过构造适当的比较系统和使用比较原理，得到了正平衡解渐近稳定的必要条件和全局稳定的充分条件 短句来源 更多            查询“positive equilibrium”译词为其他词的双语例句   查询“positive equilibrium”译词为用户自定义的双语例句     我想查看译文中含有：的双语例句 为了更好的帮助您理解掌握查询词或其译词在地道英语中的实际用法，我们为您准备了出自英文原文的大量英语例句，供您参考。   positive equilibrium In the stochastic case, it is proved that there is no uniformly positive equilibrium, and under an appropriate condition, (iii) never occurs. 例句来源       One more result concerns properties of eigenfunctions of linearizations of the equations at positive equilibrium points. 例句来源       We show that if the delay is sufficiently small, then there exists a travelling wave fronts for the delayed diffusive model connecting the zero equilibrium with the positive equilibrium. 例句来源       However, the positive equilibrium may be destabilizing if the migration is density dependent in such a way that it increases with increasing population density at the source patch. 例句来源       The model was found to have under constant light condition a globally stable unique positive equilibrium, while under periodically varying light (e.g. 例句来源       更多                    This paper is devoted to the qualitative analysis of May's model. Cgnditions for the global stability of the positive equilibrium point and conditions for the existence of the limit cycle around the positive equilibrium point are obtained.             本文对 R.M.May(1973)的模型进行定性分析,得到了正平衡点全局稳定性的条件,以及在正平衡点周围存在极限环的条件。 文摘来源          So complicated are the working surroundings around oil pipelines that there are a great deal of factors exerting an influence on oil pipeline operation such as the soil composition, water ratio, sub-water level, the regular changes of atomospheric and land temperature along the way it passes throgh, the wax precipitation of the waxy crude oil in the course of transport. Therfore, it is customary to parameterscalcualtion, and preassume some technical then make some revision, in of which is the specific heat ...             输油管道的工作环境复杂,影响输油生产的因素也多,如沿程土壤组分、含水率、地下水位变化、气温和地温的规律变化及含蜡原油在输送过程中蜡晶的析出等等。为此,在输油管道工艺计算中常选设一些工艺参数,然后加以修正,原油比热C就是其中参数之一。本文介绍了大庆原油比热的计算方法,论述了比热对输油管道传热系数及正平衡法计算炉效的影响,指出原油比热是一个不可忽视的工艺参数。 文摘来源          In this paper, the population model which the velocity of the preying rate of the predator population changes when quantities of the prey population increase is concerned. We get the sufficient and necessary condition for there to exist a unique positive equilibrium for the ecosystem and the criteria under which such a system is globally stable. We also have the result that the Ecosystem can exist at least one limit cycle or at least two limit cycles. Therefore, the criteria for which predator p...             本文研究一类随着食物量的增加捕食者捕食速度的变化率起变化的种群模型。得到它在R{(x,y):x≥0,y≥0}内存在唯一正平衡点的充要条件和该系统在R内全局渐近稳定的条件,指出其可以出现至少一个(或两个单侧环)或至少两个极限环线的情形以及所存在的极限环的大致位置,从而得出两种群在相互竞争中一种群趋于灭绝或两者互惠共存而达到“生态平衡”的条件。 文摘来源   << 更多相关文摘         相关查询: positive nitrogen equilibrium positive equilibrium solution positive equilibrium point positive equilibrium points the positive equilibrium solution positive constant equilibrium solution equilibrium negative and positive equilibrium positive the positive equilibrium points level crossings of positive equilibrium stability of the positive equilibrium  对查询结果不满意

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