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1.
根据肺结核的传播特点,建立了带潜伏期和潜伏年龄的数学模型.证明了当基本再生数R0<1时,系统无病平衡点是局部和全局渐近稳定的;当R0>1时,无病平衡点不稳定,此时系统存在一个地方病平衡点,并证明了该地方病平衡点是局部渐近稳定的.  相似文献   

2.
《滨州学院学报》2022,(4):42-48
主要研究了一类具有疫苗接种和媒介控制的媒介-宿主传染病模型,采用下一代矩阵法得到了疾病流行与否的基本再生数的表达式,在系统存在平衡点的情况下,运用Routh-Hurwitz判据证明了两个平衡点局部渐近稳定,借助构造的Lyapunov函数,利用LaSalle不变原理以及第二加性复合矩阵等理论,证明了两个平衡点全局渐近稳定。理论结果表明:当R_0<1时,疾病消失,无病平衡点全局渐近稳定;当R_0>1时,疾病持续逐渐形成地方病,唯一的地方病平衡点全局渐近稳定。  相似文献   

3.
通过黄龙病在柑橘中的传播机理,建立了一个媒介传染病动力学模型.利用LaSalle不变性原理,Ben-dixson-Dulac定理证明了当R0≤1时无病平衡点全局渐近稳定,当R0>1时地方病平衡点全局渐近稳定.  相似文献   

4.
建立了一类具有变化潜伏期的水源性疾病数学模型,得到了水源性疾病流行的阈值R0(基本再生数).利用LaSalle不变集原理,通过构造新的Liapunov函数证明了平衡点的全局稳定性:当R0≤1时,系统的无病平衡点p0是全局渐近稳定的;当R0>1时,系统的地方病平衡点p*是全局渐近稳定的.最后利用数值模拟说明结论的正确性.  相似文献   

5.
研究了一类具有连续接种免疫和潜伏期的SEIVR流行病模型,通过计算下一代矩阵得到了疾病流行与否的阈值-基本再生数.并运用Routh-Hurtwiz判据,Lyapunov函数以及La Salle不变集原理证明了当R01时,模型存在唯一的无病平衡点P0,且P0全局渐近稳定;当R01时,模型存在两个平衡点,无病平衡点P0不稳定,地方病平衡点P*全局渐近稳定.进一步分析得到在疾病防控中可以通过增加疫苗接种比率θ来降低基本再生数R0,从而防止疾病蔓延,并进行数值模拟验证了理论结果的正确性.  相似文献   

6.
分析了一类带有疫苗接种的SEIR新型冠状病毒感染模型,讨论系统的边界平衡点和内部平衡点存在的参数条件,通过再生矩阵的方法计算基本再生数,给出了平衡点的局部稳定性,并进一步构造Lyapunov函数和变分矩阵的方法分析系统平衡点的全局渐近稳定性,得到当基本再生数R0<1时,系统存在一个全局渐近稳定的边界平衡点;当基本再生数R0>1时,系统的边界平衡点是不稳定的,同时还存在一个全局渐近稳定的内部平衡点.利用分岔理论中的Sotomayor定理证明了在R0=1处,系统在边界平衡点P0附近将会发生跨临界分岔.最后通过数值模拟展示系统稳定性的情况.  相似文献   

7.
研究了一类具有垂直传染和因病死亡的SIR传染病模型,得到了地方病平衡点存在的阈值R0*.当R0*<1时,仅存在无病平衡点且局部渐近稳定;当R0*>1时,除存在不稳定的无病平衡点外,还存在唯一的正地方病平衡点且局部渐近稳定.  相似文献   

8.
建立了一类考虑钉螺总数变化的血吸虫病动力学模型,利用谱半径的方法计算得到基本再生数R0,证明了当R0<1时无病平衡点全局渐近稳定,当R0>1时地方病平衡点全局渐近稳定.  相似文献   

9.
利用Lasalle不变集原理探讨系统的渐近性态,研究了一类具有双线性发生率且染病期传染的SEIR流行病传播数学模型的动力学性质.得到了疾病绝灭与持续的阈值—基本再生数,证明了无病平衡点的全局渐近稳定性和地方病平衡点的全局渐近稳定性,揭示了潜伏期传染的影响.  相似文献   

10.
利用Lasalle不变集原理探讨系统的渐近性态,研究了一类具有双线性发生率且染病期传染的SEIR流行病传播数学模型的动力学性质.得到了疾病绝灭与持续的阈值一基本再生数,证明了无病平衡点的全局渐近稳定性和地方病平衡点的全局渐近稳定性,揭示了潜伏期传染的影响.  相似文献   

11.
天保房地产开发公司根植于天津滨海新区。依托控股公司带来的资源优势,基于滨海新区列入国家发展战略部署的背景,在近年来取得了迅速的发展。但是随着国家一系列政策的出台,中国的房地产行业面临着一次大的重新洗牌过程,同时企业内部仍然存在着制度缺陷、管理不规范、流程不清晰、人员激励不足等各方面的问题,所以,天保房地产公司在面临着滨海新区良好发展机遇的同时,也面临着很大的挑战。如何在机遇与挑战并存的环境中,认真分析和评估企业的外部环境及内部资源与能力的优劣势,对企业内部的资源与能力进行积累与培养,制定相应的竞争与发展战略,引导企业的健康长远发展具有一定的必要性与迫切性。 本文从竞争战略的角度,综合分析天保房地产开发公司所面临的外部环境和内部条件,研究探讨天保房地产开发公司的发展战略框架,包括战略的指导思想、战略定位、战略目标及相应的实施措施,以期实现天保房地产开发公司的发展愿景和核心价值。  相似文献   

12.
The experiment in which a candle is burned inside an inverted vessel partially immersed in water has a history of more than 2,200 years, but even nowadays it is common that students and teachers relate the change in volume of the enclosed air to its oxygen content. Contrary to what many people think, Lavoisier concluded that any change in volume in this experiment is negligible; moreover, the explanation relating oxygen consumption in the air with its change in volume is known to be wrong. In this work we briefly review the history behind the candle experiment and its relationship with some typical erroneous explanations. One of the key factors behind Lavoisier’s success was the use of experiments carefully designed to test different hypotheses. Following these steps, we performed several closed volume experiments where the candle wick was replaced by a capillary stainless steel cylinder supported and heated by a nichrome filament connected to an external power supply. Our recorded experiments are displayed as web pages, designed with the purpose that the reader can easily visualize and analyze modern versions of Lavoisier’s experiments. These experiments clearly show an initial phase of complete combustion, followed by a phase of incomplete combustion with elemental carbon or soot rising to the top of the vessel, and a final phase where the hot artificial wick only evaporates a white steam of wax that cannot ignite because no oxygen is left in the closed atmosphere. After either a complete or incomplete combustion of the oxygen, our experiments show that the final gas volume is nearly equal to the initial air volume.  相似文献   

13.
指鹿为马     
秦二世时,丞相赵高野心勃勃,日夜盘算着要篡夺皇位。可朝中大臣有多少人能听他摆布,有多少人反对他,他心中没底。于是,他想了一个办法,准备试一试自己的威信,同时也可以摸清敢于反对他的人。  相似文献   

14.
Easy Phonics带你学习自然拼读,让你学会字母的发音规律,正确地拼读单词。本期让我们继续来看看、读读、写写重读音节中包含字母a的单词,区分它们读短音short a-/e/,还是长音long a-/ei/。  相似文献   

15.
Easy Phonics栏目带你轻松地学习自然拼读!在读读、听听、拼拼和玩游戏中,你将了解字母的发音规律,并正确地拼读单词。这一期,我们来学习元音字母a的短音(short a)和长音(long a).  相似文献   

16.
从前,有一句话,叫做"吃得苦中苦,方为人上人".这句话被认为动机不纯,怎么可以做"人上人"呢?其实,对于"人上人"可以作不同的理解,一种理解是"骑在人民头上,作威作福",这种"人上人"当然不好;但也可以解释为比别人做更多的贡献,吃更多的苦,经过更多的挫折与困难而比一般人更成熟、更坚强,更知道怎么做人.实际上,对这句话应是作后一种理解的,因为这种"人上人"是与"苦中苦"联系在一起的.  相似文献   

17.
本文从毕飞宇小说中一再出现的镜、钟、影和胡琴的意向入手,考察毕飞宇小说的叙述人称、叙述速度、叙述结构和叙述意图。深入阐释"我"与"他"的分离与揉合,"快"与"慢"的交替与演变,"是"与"非"的分明与模糊,"语言"与"沉默"的相反而相成。  相似文献   

18.
The concept of metacognition refers to one’s knowledge and control of one’s own cognitive system. However, despite being widely used, this concept is confusing because of several reasons. First, sometimes it is not at all clear what is cognitive and what is metacognitive. Second, researchers often use the same term, namely, “metacognition” even when they refer to very different aspects of this complex concept. Alternatively, researchers may use different terms to indicate the same metacognitive elements. Another foggy matter is the interrelationships among the various components of metacognition discussed in the literature. This conceptual confusion regarding the concept of metacognition and its sub-components calls for in-depth theoretical and conceptual clarifications. The goal of this article is to portray a detailed example of a conceptual analysis of meta-strategic knowledge (MSK) which is one specific component of metacognition. This specific example is used to draw a general model for conceptual analyses of additional metacognitive components. The approach suggested here is to begin with a clear definition of the target sub component of metacognition, followed by a systematic examination of this sub component according to several dimensions that are relevant to metacognition in general and to that sub component in particular. The examination should include an analysis of how the details of the definition of the target sub-component refer to: (a) general theoretical metacognitive issues raised by prominent scholars; (b) definitions formulated and issues raised by other researchers who have investigated the same (or a similar) sub-component and, (c) empirical findings pertaining to that sub-component. Finally, it should be noted that since metacognition is a relational rather than a definite concept it is important to situate the context within which the conceptual analysis takes place.  相似文献   

19.
In spring, it's always warm and sunny. People like to go outing. ff's sunny today. The Blacks have a picnic in a park. There are many big trees and flowers in the park. They take lots of food with them. There is fruit, drinks, bread and so on.  相似文献   

20.
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