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1)  Permanence [英]['pɜ:mənəns]  [美]['pɝmənəns]
一致续存
1.
The Researches on Permanence of Predation Systems and the Impact of Prey Refuge on Their Dynamics;
具有阶段结构的捕食系统的一致续存及庇护所效应对其动态结果的影响研究
2)  uniformly persistent
一致持续生存
1.
It is discovered that the inter-infection is crucial to the dynamical behavior of the system, namely, when the disease will die out without the inter-infection for both species, the disease may prevail in both species if the inter-infection is introduced; Moreover, the system is uniformly persistent.
研究了一类两种群相互竞争的SIRS传染病模型,揭示了两种群共存时,交叉传染对疾病传播的本质影响,即在无交叉传染疾病绝灭的情况下(一定条件时),若引入交叉传染,在相同的条件下,系统为一致持续生存的,从而疾病就会流行起来。
2.
We show a sufficient condition of the zero solution of (1)is uniformly asymptotically stable and every non-negative solution of (1) tends to zero as n→∞ , while we also show another sufficient and necessary condition about (1) is uniformly persistent.
讨论了时滞差分方程xn+ 1 - xn = - δxn + pxn- kf( xn- k) , n = 0 ,1 ,2 ,… (1)得到了该方程零解的一致渐进稳定的充分条件,且每一个非负解都趋近于零,并且获得了该系统一致持续生存的充要条件。
3)  uniform persistence
一致持续生存
1.
It is shown that model is uniform persistence under some appropriate conditions and sufficient conditions are established the existence of a positive periodic solution which is globally asymptotically stable by differential inequality and lyapunov functional.
研究具有离散时滞的非自治的N种群竞争扩散模型,通过构造李亚普诺夫泛函,微分不等式获得了其一致持续生存及正周期解存在且全局渐近稳定的充分条件。
2.
The model is discreted via pioncare map and sufficient conditions for uniform persistence of the model are obtained by the theory of infinite dimensional discrete semi dynamical systems.
该文研究了一类Chemostat模型的一致持续生存 ,该模型引入了周期环境和营养从吸收到转化为生物量的这种时滞。
3.
Based on the technique of Razumikhin,the sufficient conditions for uniform persistence are obtained.
以Razumikhin方法为基础,得到了系统一致持续生存的充分条件。
4)  permanence [英]['pɜ:mənəns]  [美]['pɝmənəns]
一致持续生存
1.
Conditions for global stability of boundary equilibrium and conditions for the permanence of prey and predator are obtained.
得到了食饵两性具有不同的出生率和死亡率时, 边界平衡点全局稳定的条件及食饵和捕食者一致持续生存的条件。
2.
Based on the methods of Liapunov functionals and the technique of Razumikhin, this paper obtains the sufficient conditions for permanence of prey population and extinction of predator population.
利用Liapunov泛函方法和Razu mikhin方法 ,得到了食饵种群一致持续生存 ,而捕食者种群趋于绝灭的充分条
3.
Conditions of permanence for general discrete models with finite delays are established via the average Liapunov function method.
以平均Liapunov函数方法为基础,对一般的有限时滞离散种群模型建立了一致持续生存条件。
5)  Uniform permanence
一致持续生存性
6)  uniform subsistence of average sustenance
一致平均持续生存性
补充资料:续续
1.连续不绝。
说明:补充资料仅用于学习参考,请勿用于其它任何用途。
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