分数阶SIR传染病模型的稳定性分析（英文）

本文研究一类Caputo型分数阶SIR传染病模型的全局稳定性.首先,通过对方程进行求解得到了模型的平衡点.然后,根据关于Caputo型分数阶微积分的一个引理和分数阶动力系统的相关理论,分别构造相应的Lyapunov函数判断平衡点的稳定性.结果表明,当R_01时,模型有唯一的无病平衡点E_0,E_0是全局稳定的;如果R_01时,模型存在无病平衡点E_0和地方病平衡点E_*,E_*是全局稳定的.最后,给出了一些数值模拟来验证理论分析的结果.     

考虑部分免疫和潜伏期的麻疹传染病模型的稳定性分析

本文建立了一个具有部分免疫和潜伏期的麻疹传染病模型.通过构造Lyapunov函数,我们得到当R_O1时,无感染平衡点点E_O全局渐近稳定;当R_O1时,正平衡点E_1全局渐近稳定;进一步分析得到忽略潜伏期会高估基本再生数,而忽略部分免疫会低估基本再生数.     

一类具有性传播的HIV/AIDS模型全局稳定性分析（英文）

本文,我们研究了一类同时考虑异性之间传播和同性之间传播以及具有常数输入的艾滋病传播模型.首先讨论了系统解的正性,平衡点的存在性等基本性质.利用比较原理证明了无病平衡点E_0的全局渐近稳定性.证明地方病平衡点的全局渐近稳定性时,我们用到了几何方法.最后使用MATLAB和取自南昌市东湖区数据进行了数值模拟,验证了结论的正确性并预测了该地区艾滋病人数的变化趋势.     

捕食者有病的捕食—食饵扩散模型的稳定性分析

研究了一个捕食者有病,食饵具有Logistic增长的修正的Leslie-Gower功能反应的捕食-食饵扩散模型.应用线性化和Lyapunov泛函方法,获传染病灭绝的平衡点E_2局部渐近稳定和全局渐近稳定的充分条件.并通过数值模拟验证主要结论.     

具有垂直传染的时滞SEIR流行病模型分析

本文建立一类具有垂直传染的时滞SEIR流行病模型,得到了疾病流行与否的阈值条件,利用时滞微分方程的Lyapunov-Lasalle方法证明了当基本再生数R_0≤1时,无病平衡点E_0的全局渐近稳定性,此时疾病将会消失;当基本再生数R_01时,疾病将一致持续生存.     

中国人群(京津地区)载脂蛋白E基因多态性和表型分布的研究

本文利用作者建立的密度梯度超速离心分离VLDL的新方法和分析等电聚焦电泳,测定了95例中国人Apo-E基因多态性和其表型分布以及血脂水平。所得表型分布趋势与国外报告一致:E_3/E_3频率最高,E_3/E_2和E_3/E_4次之,E_4/E_4,E_4/E_2和E_2/E_2最低。同对发现中国人群的E_3/E_3表型百分分布明显高于西方人群,但未发现有E_2/E_2表型。我国人群Apo-E表型分布的这种特征可能与中国人群冠心病的患病率较西方人群为低有关。血清脂质测定和分析表明,具有不同表型人群的血脂水平无显著的统计学差异。     

江苏菜豆同工凝集素的分离纯化及性质研究

江苏菜豆经酸水(PH2.0)抽提,硫酸铵分级沉淀,分离植物血球凝集素(PHA-P),分子量为128000的糖蛋白,活性回收率在80％以上,PHA-P经SP-sephadexc-50离子交换层析,分成L_4,L_3E_1,L_2E_2,L_1E_3,和E_4同工凝集素。 L_4和E_4等电点为5.4和6.5。亚基分子量分别是31000和33000,并有类似的氨基酸组成。PAGE分析为单一蛋白带。红细胞凝集活性随电泳迁移速度的加快而增强,促淋性细胞分裂活性则减弱。E_4血凝活性受CalNAc,EDTA抑制和Zn~(++)的促进。     

团头鲂血清中雌二醇含量测定方法的改进和周年变化规律的研究

采用加热处理的方法代替了用有机溶剂进行血清样品抽提的繁琐步骤,为鱼类血清雌二醇(E_2)放射免疫测定摸索了一种简单易行的方法。对团头鲂(Megalobrama arablycephala)雌鱼血清中E_2含量的周年变化进行了测定。1—4月血清E_2含量逐渐上升,1月份为全年最低值(0.61±0.28ng/ml),4月份达到最高值(5.63±0.85ng/ml),之后,血清E_2含量明显下降。10—12月E_2水平维持在1.62±0.20ng/ml左右,形成一个持续三个月的小峰。卵巢成熟系数与血清E_2含量的变化,两者之间呈正相关,r=0.6089。并呈现出E_2含量的升高先于成熟系数的增长,E_2含量在产卵季节前一个月达到高峰值。表明血清E_2含量的变化与性腺在早春的发育生长密切相关,而与性腺晚期的发育成熟关系不大。10—12月的一个小峰与产后性腺的复发,即性腺再度进入卵黄发生期有关。     

雌二醇对成年大鼠肺表面活性物质分泌的影响

采用离体非灌流肺模型,观察了雌二醇(E_2)对成年大鼠肺表面活性物质(PS)分泌的影响,并探讨了前列腺素(PG)在其中的作用。结果显示:E_2(10~(-6)mol/L)可使肺磷脂释放指数和肺磷脂释放量增多,分别为对照组的150.0％(P<0.05)及160.7％(P<0.01),表明E_2可促进成年大鼠PS的分泌;PG合成抑制剂消炎痛(10~(-5)mol/L)可以抑制E_2促进肺磷脂释放的效应,表明PG在E_2促进PS分泌中起介导作用。以上结果提示E_2可能参与成年动物PS分泌的调控。     

甲醚抗孕丸对妇女雌激素排泄的影响

本工作用气相层析方法测定了7名正常妇女和11名服甲醚抗孕丸妇女尿中 E_3、E_2、E_0和 P_2含量的周期变化,观察到11名服药妇女中有6名排卵受到抑制(P_2<1mg/天),其余5名有排卵(P_2>2.5mg/天)。服药后无排卵的妇女尿中雌激素周期变化的特点是雌激素在后半周期有较大幅度的升高。部分服药后有排卵的妇女尿中三种雌激素的比例出现异常,E_2或 E_0含量高于 E_3,反映了体内 E_2的正常代谢受到了干扰。文中对服药后引起的激素周期变化与抗生育的关系作了简略的分析和讨论。     

变时滞SIS流行病模型的稳定性分析

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。     

Conformationally restricted peptides through short-range cyclizations

The various types of conformationally restricted peptides obtained by short-range cyclizations, from residue i to residue i + 1, are presented. Relevant examples of N in equilibrium C alpha, C' in equilibrium C alpha, N in equilibrium C', C alpha in equilibrium C alpha, C' in equilibrium C', and N in equilibrium N cyclizations are reported and the pertinent literature listed. In the discussion emphasis is place on the conformational consequences for peptides from the incorporation of such ring structures.     

一类具常数接触率传染病模型的稳定性分析

本文研究了一类具常数接触率的传染病模型,用上下解方法和Liapnuov泛函讨论了地方病平衡点及无病平衡点的渐近行为,得到了各自全局稳定的充分条件.     

具有饱和发生率的病毒感染模型的全局稳定性分析

讨论了一类具有饱和发生率的病毒感染数学模型,分析得到了无病平衡点和持续带毒平衡点的全局稳定性条件.当病毒感染的基本再生数R_01时,无病平衡点全局渐近稳定;当R_01时,持续带毒平衡点全局渐近稳定.     

The time course of cellular responses to iontophoretically applied drugs.

Simple models of two-species ecosystems are usually analyzed in terms of the existence and stability of a static equilibrium state. We examine the way in which perturbations, in the form of periodic reductions in both species, lead to stable coexistence in a state of dynamic equilibrium. We establish general criteria for the occurrence of such dynamic equilibrium states. We show that coexistence in a dynamic equilibrium occurs for a fairly wide range of model parameters, and that dynamic equilibrium states are a rather robust feature of simple models.     

Self-association of rabbit muscle phosphofructokinase at pH 7.0: stoichiometry

The self-association of rabbit muscle phosphofructokinase at pH 7.0 was investigated by velocity sedimentation. The process was demonstrated to be in a rapid, dynamic equilibrium. The concentration dependence of the weight-average sedimentation coefficient was monitored within the range of 10-750 microgram/mL. The sedimentation properties of phosphofructokinase were analyzed by theoretical simulations or an associating system in rapid equilibrium. In the absence of any ligands and at a temperature of 23 degrees C, the simplest computed model which gives the best fit between theoretical and experimental points can be described as progressive association of monomer in equilibrium or formed from tetramer in equilibrium or formed from 16-mer with apparent equilibrium constants K4 = 5.06 X 10(5) (mL/mg)3 and K16 = 3.25 X 10(23) (mL/mg)15. However, at 5 degrees C, the equilibrium was altered and can best be described as monomer in equilibrium or formed from dimer in equilibrium or formed from tetramer in equilibrium or formed from 16-mer.     

A Two-Stage Test for Distinguishing Random,Pseudo-Random and Nonrandom Mating Populations

There is no such an implication that a population in Hardy-Weinberg equilibrium must have undergone random mating. Therefore, it is unequivocal that the usual tests for “Hardy-Weinberg equilibrium” are indeed tests for “random union of gametes” but not for “random mating”. In this paper, utilizing population characteristics expressed in equilibrium state (equilibrium or disequilibrium) and mating behavior (random or nonrandom), a two-stage testing procedure for distinguishing random, pseudo-random and nonrandom mating populations is proposed. At the first stage, a population is tested for Hardy-Weinberg equilibrium. If insignificant result (i.e., in equilibrium) is obtained, then to a second stage the population is further tested for mating behavior. Random mating-pairs data are needed here for analysis instead of random individuals for usual Hardy-Weinberg equilibrium tests. Since distinguishing the three types of mating populations depends on the combined results of two stages, the probability of correct determination of the two-stage tests is discussed by simulation studies.     

具免疫时滞的HIV感染模型动力学性质分析

讨论了一类具免疫时滞的HIV感染模型.分析了未感染平衡点的全局渐近稳定性,给出了感染无免疫平衡点及感染免疫平衡点局部渐近稳定的充分条件.数值模拟结果表明,当易感细胞生成率的取值使得基本再生数满足平衡存在的条件且低于某一临界值时,时滞对平衡点的稳定性没有影响;若大于该临界值,随着时滞增大,稳定性开关发生,平衡点不稳定,出现一系列Hopf分支,最终表现为周期波动模式.     

The equilibrium concept and density dependence tests What does it all mean?

Summary Tests of density dependent regulation of population size depend on the concept of equilibrium population size. Such an equilibrium is a purely theoretical construct whose existence in the field is debatable and whose value cannot be measured. An equilibrium is supposed to fluctuate in time, but the extent of the fluctuations relative to those of the population size is unknowable. It is impossible to separate a fluctuating population size from a fluctuating equilibrium value and from fluctuating deviations from an equilibrium value. Because it cannot be determined whether a given population size is above, at, or below equilibrium, the course of population size in unpredictable and density dependence tests cannot be expected to produce useful results. Stabilization tests may provide a more useful alternative.     

微藻培养基平衡pH的研究

平衡pH是培养基中二氧化碳分压与空气中二氧化碳分压平衡时的pH,是微藻培养基的一个重要特征参数。选用常用的三种微藻培养基:BG11培养基、BBM培养基和Zarrouk培养基,使用鼓泡通入空气的方法,研究碳源、氮源、磷源浓度和盐度对培养基平衡pH的影响。结果如下:在NaHCO3浓度016.8 g/L范围内,三种培养基的平衡pH都随碳源浓度的增加而升高;NaNO3浓度在02.5 g/L范围内,对培养基平衡pH没有影响;0.1 g/L KH2PO4使BG11培养基的平衡pH稍有升高,与之相反,BBM培养基的平衡pH稍有下降,进一步提高磷（P）浓度（最高0.4 g/L）,BG11培养基和BBM培养基的平衡pH不再变化;P浓度变化对Zarrouk培养基的平衡pH没有影响;三种培养基的平衡pH都随盐度的升高而降低。碳源浓度是影响培养基平衡pH的最主要因素,平衡pH与碳源浓度的关系可以用回归方程y=0.3504ln（x）+8.9647（R2=0.9708）表示,氮源浓度对平衡pH没有显著影响,磷源浓度和盐度对培养基平衡pH有影响,但影响不大。控制藻液pH不低于平衡pH,可以提高微藻培养中CO2的利用效率,有利于实现微藻CO2生物固定的环境效益。