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1.
变时滞SIS流行病模型的稳定性分析   总被引:1,自引:1,他引:0  
研究了一类时滞SIS流行病模型,分析了该模型无病平衡点和地方平衡点的存在性,得到了无病平衡点全局指数渐近稳定和地方病平衡点局部指数渐近稳定的充分条件,同时给出了地方病平衡点吸引区域的估计。  相似文献   

2.
研究一类具有隔离干预的非线性传染率的SIQR传染病模型的全局稳定性,得到了阈值R及无病平衡点和地方病平衡点的存在的条件,并利用构造李雅普诺夫函数证明无病平衡点和地方病平衡点的全局稳定性.  相似文献   

3.
本文建立了一类空间非局部带时滞影响的互惠生物种群系统模型.前部分利用线性化方法证明了该模型的简单动力学行为,即证明了零平衡点和两个边界平衡点都是不稳定的,唯一的正平衡点是稳定的,同时还用Redlinger上下解方法得出了该模型的初边值问题存在唯一的正则解;后部分则证明了该反应扩散系统连接零平衡点和正平衡点的行波解的存在性.  相似文献   

4.
首先,在不采取综合害虫治理策略的情况下,本文给出一个具有流行病的害虫模型的正平衡点的存在条件以及无病平衡点和正平衡点的全局稳定性条件;其次,把易感害虫种群数量作为害虫综合控制的指标,利用阈值控制策略建立了一个害虫治理流行病Filippov模型,并系统地对该模型的动力学性质进行分析,其中包括模型的滑线区域,真、假平衡点及伪平衡点的存在性和稳定性.  相似文献   

5.
研究一类具有隔离干预和可分离广义传染率的SIQRS传染病模型的全局稳定性,得到了阈值R及无病平衡点和地方病平衡点的存在的条件,并利用构造李雅普诺夫函数证明无病平衡点和地方病平衡点的全局稳定性.  相似文献   

6.
本文研究了一个带有外来流入人口和快慢反应的SEIR肺结核模型,理论分析表明,只有外来潜伏者输入W_E=0时存在无病平衡点,当基本再生数R_O1时,无病平衡点全局渐近稳定。当R_O1时,无病平衡点不稳定.系统存在唯一的渐近稳定的地方病平衡点.最后通过数值模拟验证了理论结果,并且发现外来流入潜伏者和快慢反应参数对于不同流入人口系统的影响存在显著差异.  相似文献   

7.
具有一般形式饱和接触率SEIS模型渐近分析   总被引:13,自引:4,他引:9  
研究具有一般形式饱和接触率SEIS模型渐近性态,得到决定疾病绝灭和持续的阈值-基本再生数R0。当R0 ≤ 1时,仅存在无病平衡点P^0;当R0>1时,除存在无病平衡点P^0外,还存在惟一的地方病平衡点P^*。当R0<1时,无病平衡点P^0全局渐近稳定;当R0>1时,地方病平衡点P^*局部渐近稳定。特别地,无因病死亡时,极限方程地方病平衡点P^-*全局渐近稳定。  相似文献   

8.
一类具有标准发生率的SIS型传染病模型的全局稳定性   总被引:1,自引:0,他引:1  
研究一类具有标准发生率的SIS传染病模型,讨论了各类平衡点存在的条件;运用微分方程的定性理论,得到了无病平衡点E_1和地方病平衡点E_2的全局渐近稳定的充分条件.  相似文献   

9.
研究了带有功能性反应捕食项的捕食与食饵模型在线性状态反馈收获的作用下所呈现的复杂性质,其中包括正平衡点的存在与唯一性、平衡点的渐近稳定性、产生分支的原因与极限坏的存在性等,研究结果表明:通过调整反馈项的系数,可以改变该系统正平衡点的稳定性,从而使系统或是稳定在正平衡点处,或是在正平衡点处产生周期运动,本文的结果为研究再生性资源管理中的复杂性问题奠定了理论基础。  相似文献   

10.
讨论了区间多种群Volterra生态系统正平衡点的全局渐近稳定性,对于互惠型区间多种群Volterra生态系统不仅给出了正平衡点的全局稳定的充分必要条件,而且给出了系统存在平衡点的充分条件,对于一般的区间多种群Volterra生态系统给出了正平衡点全局稳定的充分条件。  相似文献   

11.
The levels of endogenous phytohormones and respiratory rate in nine sorts of flowers such as Cymbidium faberi Rolfe, Nopalxochia ackermannii Kunth and others were investigated both at full bloom and senescence and meanwhile the effect of exogenous phytohormones on prolonging the blossoms and promoting ethylene production were tested. There is a high content of endogenous ethylene in all the long-lived flowere, about 3–16 folds higer than the short-lived ones. There is a high level of ABA at full blooming flowers of short-lived flowers, in which there is no or only some cytokinins in it, but the ratio of CTK (6BA+zeatin)/ABA is smaller(l.7). The endogenous ABA reached a much higher level at senescence in all nine sorts of flowers, so it is reasonable to consider that it is ABA which plays an important role of regulation in controlling flower's senescence. There is a much higher level of GA3 and zeatin in the long-lived flowers which is not demonstrated in the shortlived ones. The respiratory rate is one of the factors controtling the longevity of flowers, but it does not play a decided role. Application of 6BA and zeatin prolongs distinctly orchid’s longevity, however exogenous IAA through the promotive action on ethylene production, evidently extends the longevity of the flowers of the Nopalxochia ackermannii Kunth.  相似文献   

12.
K. Hausmann 《Protoplasma》1979,100(2):199-213
Summary The membranes of the pellicle of the ciliatePseudomicrothorax dubius are investigated using thin section electron microscopy and freeze-fracture replicas. The plasma membrane is covered by a surface coat and is connected to the outer alveolar membrane by short, sometimes branched, bridges. The inner alveolar membrane is coated on both sides. The epiplasm lies in intimate contact with the cytoplasmic surface of this membrane, and there is a corresponding deposit on the other surface. This deposit is regularly striated.The epiplasmic layer and the alveoli are interrupted at sites of cytotic activity,e.g., the attachment sites of trichocysts, the cytoproct, and the parasomal sacs. The striated deposit ends where the epiplasm ends, indicating a direct relationship between these two epimembranous layers.There is a deposit along the sides of the first part of the tip of the trichocysts, and in this region the trichocyst membrane is free of intramembranous particles.The membrane of the parasomal sacs has a coat on both surfaces. That on the extraplasmic surface is similar to the surface coat of the plasma membrane. The origin of the cytoplasmic coat is unknown. The cytotic activity of these sacs is indicated by their highly irregular profiles.  相似文献   

13.
In many practical situations the experiment is conducted using a block design, and it is desired to estimate a given set of contrasts with variances none of which is greater than a corresponding set of specified variances: In the present paper the form of the intra-block matrix of a design is, therefore, derived for such situations. Usefulness of the results given is illustrated with the help of examples. The construction of two-plot block designs is shown to be particularly straightforward.  相似文献   

14.
Survivin是在肿瘤组织及胚胎中发现的一类细胞因子,它是IAPs(inhibitorsofapoptosisprotein)家族的成员之一,具有其独特的分子结构和组织表达特异性,在细胞中参与细胞周期的调控,主要在细胞周期的G2/M期通过抑制caspase-3及caspase-7的活性发挥作用.Survivin在细胞中的活性可能受p53的调节.Survivin也是胚胎发育早期过程中调节细胞分裂分化的一类重要的因子.对Survivin的研究对于肿瘤治疗的研究及揭示胚胎早期的发育机制有重要的意义.  相似文献   

15.
The crystal structure of a medium-chain NAD(H)-dependent alcohol dehydrogenase (ADH) from an archaeon has been solved by multiwavelength anomalous diffraction, using a selenomethionine-substituted enzyme. The protein (SsADH), extracted from the hyperthermophilic organism Sulfolobus solfataricus, is a homo-tetramer with a crystallographic 222 symmetry. Despite the low level of sequence identity, the overall fold of the monomer is similar to that of the other homologous ADHs of known structure. However, a significant difference is the orientation of the catalytic domain relative to the coenzyme-binding domain that results in a larger interdomain cleft. At the bottom of this cleft, the catalytic zinc ion is coordinated tetrahedrally and lacks the zinc-bound water molecule that is usually found in ADH apoform structures. The fourth coordination position is indeed occupied by a Glu residue, as found in bacterial tetrameric ADHs. Other differences are found in the architecture of the substrate pocket whose entrance is more restricted than in other ADHs. SsADH is the first tetrameric ADH X-ray structure containing a second zinc ion playing a structural role. This latter metal ion shows a peculiar coordination, with a glutamic acid residue replacing one of the four cysteine ligands that are highly conserved throughout the structural zinc-containing dimeric ADHs.  相似文献   

16.
My aim in this paper is to demonstrate that a very simple learning rule based on imitation can help to sustain altruism as a culturally transmitted pattern or behaviour among agents playing a standard prisoner’s dilemma game. The point of this demonstration is not to prove that imitation is single-handedly responsible for existing levels of altruism (a thesis that is false), nor is the point to show that imitation is an important factor in explanations for the evolution of altruism (a thesis already prominent in the existing literature). The point is to show that imitation contributes to the evolution of altruism in a particular way that is not always fairly represented by evolutionary game theory models. Specifically, the paper uses a simple model to illustrate that cultural transmission includes mechanisms that do not transmit phenotype vertically (i.e. from parent to related offspring) and that these mechanisms can promote altruism in the absence of any direct biological propensity favouring such behaviour. This is a noteworthy result because it shows that evolutionary models can be built to explicitly reflect the contribution of non-vertical transmission in our explanations for the evolution of altruism among humans and other social species.  相似文献   

17.
Analysis of variance can be used to detect the linkage of segregating quantitative trait loci (QTLs) to molecular markers in outbred populations. Using independent full-sib families and assuming linkage equilibrium, equations to predict the power of detection of a QTL are described. These equations are based on an hierarchical analysis of variance assuming either a completely random model or a mixed model, in which the QTL effect is fixed. A simple prediction of power from the mean squares is used that assumes a random model so that in the mixed-model situation this is an approximation. Simulation is used to illustrate the failure of the random model to predict mean squares and, hence, the power. The mixed model is shown to provide accurate prediction of the mean squares and, using the approximation, of power.  相似文献   

18.
Behavioural mode of action of deet: inhibition of lactic acid attraction   总被引:5,自引:0,他引:5  
Using the mosquito Aedes aegypti in a novel olfactometer that measures movement towards and away from a stimulus, we could not confirm that 'deet' is a repellent of mosquitoes. In the absence of a host, deet was an attractant and in the presence of a host, it was an inhibitor of attraction. This inhibition occurred in the gaseous phase and was therefore not the result of the physical properties of deet. We determined that L-lactic acid, a component of human sweat that is an attractant to mosquitoes, is the target of this inhibition, implying that lactic acid may be a bottleneck in the behavioural cascade preceding blood-sucking.  相似文献   

19.
于玉米成熟期选择健壮茎秆的基部第三节间为材料,采用徒手切片法、冰冻切片法、石蜡切片法、薄切片法等4种方法,比较不同方法的玉米茎秆组织结构切片质量,为研究玉米茎秆结构与其倒伏的关系奠定技术基础。结果表明:徒手切片法是获得成熟玉米秆组织结构切片较为方便、快速的方法,切片面积较大,适合大范围观察统计;冰冻切片法是获得成熟玉米秆组织结构较快的方法,切片面积较小,适合小范围观察;薄切片是获得高质量成熟玉米秆组织结构切片的最好方法,但切片面积太小,适合高倍数显微观察和小范围电镜扫描观察组织结构;石蜡切片不适合作为成熟玉米秆的组织切片方法。研究认为,徒手切片法是最适合成熟玉米秆组织结构观察研究的制片方法。  相似文献   

20.
In this paper, a mathematical model of a prey-predator system is proposed to resolve the paradox of enrichment in ecosystems. The model is based on the natural strategy that a predator takes, i.e, it produces resting eggs in harsh environment. Our result gives a criterion for a functional response, which ensures that entering dormancy stabilizes the population dynamics. It is also shown that the hatching of resting eggs can stabilize the population dynamics when the switching between non-resting and resting eggs is sharp. Furthermore, the bifurcation structure of our model suggests the simultaneous existence of a stable equilibrium and a large amplitude cycle in natural enriched environments.   相似文献   

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