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In order to prove the global asymptotical stability of the endemic equilibrium, we introduce the change of variable which can reduce our original four-dimensional system to a three-dimensional asymptotical autonomous system with limit system.

利用复合矩阵理论以及竞争系统的Poincaré性质排除了渐近自治三维系统的极限系统周期解的存在性,进而利用极限方程理论得到了原四维系统地方病平衡点的全局稳定性。

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。

Denmark is free from all exotic diseases the last recorded case of hog cholera was in 1933 plus there is a major research programme in place to control endemic and new diseases such as PRRS and PMWS.

丹麦是摆脱所有外来疾病的最后记录案件猪瘟是在1933年另外还有一个重大的研究方案,以控制地方病和新的疾病,如蓝耳病和PMWS。

The basic reproductive number is the average of secondary infections produced by a typical infective during the entire period of infectiousness .

在研究中对这些模型引入了再生数,其意义为一个病人在染病期内平均感染的人数,再生数决定平衡解的稳定性及地方病平衡点的存在性。

We discussed the positive invariant set,the exsistence and the stability of the equilibrium by the stability theory of ordinary differential equation and the conditions for the global asymptotic stability of the disease-free equilibrium and the endemic equilibrium are obtained.

本文讨论了模型的正不变集,运用微分方程稳定性理论分析了模型平衡点的存在性及稳定性,得出了疾病消除平衡点和地方病平衡点的全局渐进稳定的充分条件。

By means of the semigroup theory, spectrum theory, positive cone theory, integrated equation theory and optimal control theory, we obtain the existence of thresholds of these models, the existence and stability of the infection- free equilibrium and the endemic steady state, and the existence of optimal vaccination strategies, etc.

运用泛函分析中的半群理论、谱理论、正锥理论以及积分方程理论和最优控制理论,系统地研究了这些模型的阈值的存在性,无病平衡态和地方病平衡态的存在性和稳定性,最优接种疫苗策略的存在性等。

For the model with exponent input, the endemic equilibrium is locally asymptotically stable when the period of latency is small enough; the endemic equilibrium is unstable when the period of latency is large enough.

对于带有指数输入的情形,发现地方病平衡点当潜伏期充分小时是局部渐近稳定的,当潜伏期充分大时是不稳定的。

A 44-year-old woman suffered feer, headache and meningism during a summer stay in a region of central Italy where sand-fly feer is endemic.

夏季,在意大利的一个中心区域,白蛉热是那里的地方病,一位44岁的妇女遭受着发热,头痛和假性脑膜炎。

The discovery of meteorite craters will make progress on the research of some endemic disease and some special elements spread.

陨石坑的发现使有关某些地方病和某种特异元素分布的相关性研究将可能取得新的进展。

Other distinctive endemics include the Somali wild ass and the sacred baboon.

其他特别的地方病包括索马利亚野生的驴和神圣的狒狒。

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