By constructing the Dulac function and Lyapunov function, and using the theory of limit systems, the uniformity with the competitive exclusion principle is proved, and the complete results about extinction are obtained.
讨论了一类带有毒素生产的恒化器模型,获得了模型各类平衡点存在及稳定的充要条件,通过构造Dulac函数和Lyapunov函数和运用极限系统理论,证明了该模型符合竞争排斥原理,并且得到了各类微生物绝灭的完整分析结果。
An epidemic models of SIR type and SIRS type with general contact rate and constant immigration of each class were discussed by means of theory of limit system and suitable Liapunov functions.
借助极限系统理论和构造适当的Liapunov函数,对带有一般接触率和常数输入的SIR型和SIRS型传染病模型进行讨论· 当无染病者输入时,地方病平衡点存在的阈值被找到· 对相应的SIR模型,关于无病平衡点和地方病平衡点的全局渐近稳定性均得到充要条件;对相应的SIRS模型,得到无病平衡点和地方病平衡点全局渐近稳定的充分条件· 当有染病者输入时,模型不存在无病平衡点· 对相应的SIR模型,地方病平衡点是全局渐近稳定的;对相应的SIRS模型,得到地方病平衡点全局渐近稳定的充分条件·
High Frequency Magnetic Structure and Magnetic Bounds Relation
高频磁结构与磁极限关系的研究与现状
Sectional Capacity of Rectangular Hollow Section under Combined Loading
矩形管截面塑性极限承载力相关关系
The Relations between the Limit ρarameter and Four Coefficients in the Scanning Circuit;
扫描电路的极限参数与四个系数的关系
The Distance of Fuzzy Numbers and The Limit of a Sepuence of Fuzzy Numbers In New Order Relation;
新序关系下模糊数的距离和模糊数列的极限
Relation of PAA's Limit Viscosity with Synthesis Conditions and Fouling Inhibition Performance
PAA极限粘度与合成条件阻垢性能的关系
Investigation on the Relationship of AA/AMPS Limiting Viscositysynthesis Condition-scale Inhibition Performance
AA/AMPS极限黏度与合成因素及阻垢性的关系
The Limit Cycle of a Kind of Kolmogorov s System;
一类Kolmogorov系统的极限环
Inverse Iimits and Infinite Tychonoff Produces About B_i-Expandable Spaces
关于可膨胀空间的逆极限及无限Tychonoff积
The limit of a large system and the time scale of the correlative function evolution are discussed.
讨论了巨大体系极限和关联函数演化的时间尺度.
In simple tension experiment, the stress-strain relationship submits Hook's law within the limit of proportionality.
单向拉伸试验中，在比例极限内，应力应变关系服从胡克定律。
Fig. 8. 15 shows some experimental results for limiting adhesion against creep.
图8．15表示试验得出的极限粘着力对爬动量的关系。
A class of convergence theorems for arbitrary stochastic sequence on gambling system
任意随机适应序列关于广义随机选择系统的一类极限定理
To fail to approach a limit, as an infinite sequence.
发散不能达到某一极限，如无限系列
The correlation between the compressive strength and axial tensile strength of RCC with placing joint and ultimate tensile strain of placing joint of RCC layers have been obtained.
通过试验研究给出有层面碾压混凝土抗压强度、面轴拉强度与层面极限拉伸值间相关关系。
Some Ideas About Seeking the Solution to Double Limit With the Substitution Technique of Polar Coordinate
关于利用极坐标换元法求二重极限的思考
On Rectifying a Wrong Conclusion of Evaluating Double Limit by Directional Limit;
关于利用方向极限求二重极限一个错误结论的纠正
Pass the wire rope end through the weight for the limit switch.
将钢锁端头穿过极限开关的压块。
Pushing the Envelope” also has relevance to our profession.
推到极限"也有与我们的职业的相关性。