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。     

带时滞互惠模型的稳定性和行波解的存在性

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.     

关于一类害虫治理流行病Filippov模型的动力学性质分析

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．     

一类具有HollingⅡ反应的害虫治理的Filippov模型的研究

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HollingⅡ反应的害虫模型的正平衡点的存在条件和正平衡点的全局稳定性条件;其次,把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具有HollingⅡ反应的害虫治理的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.     

一类具有隔离干预的非线性传染率的传染病模型的全局稳定性分析(英文)

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.     

具有复发的戒酒模型的全局稳定性（英文）

建立了一类具有永久戒酒者仓室和复发的戒酒模型,证明了该模型存在无酒平衡点和酗酒平衡点,进一步证明若R_01,无酒平衡点是全局稳定,若R_01,酗酒平衡点是全局稳定的。最后给出了数值模拟验证结论的正确性。     

解析一类SIS和SIR传染病模型的稳定性

借助微分方程建立传染病SIS模型和SIR模型,进一步研究了一类SIS和SIR传染病模型,得出了决定SIS传染病是否发生的阈值;解析了SIR模型无病平衡点和地方平衡点的稳定性.     

一类含分布时滞的流行病模型的研究

提出了一类含分布时滞的流行病模型,利用构造李亚普诺夫泛函的方法,得到了无病平衡点和地方病平衡点全局稳定性的结论,揭示了平均时滞对各类平衡点稳定性的影响。     

一类具有阶段结构和隔离的种群-传染病模型

该文讨论了一类具有阶段结构和隔离的种群-传染病模型.在该模型中,假设染病者没有生育能力.通过分析讨论,得到了地方病平衡点存在的阈值条件,以及无病平衡点和地方病平衡点局部渐近稳定和全局渐近稳定的充分条件.     

基于双时滞HTLV-I病毒模型的稳定性分析

针对双时滞HTLV-I病毒感染模型,探讨其平衡点及稳定性理论.依据模型固有属性,研究解的正性和有界性;通过构造适当Lyapunov泛函和利用稳定性理论,获证未感染平衡点和免疫耗尽平衡点是全局渐近稳定的;借助Hopf分支理论,分析免疫激活平衡点处相应特征方程具有的性质,获得该平衡点的局部稳定性和发生Hopf分支的充分条件.最后,数值实验结果表明,将HLTV-I模型中引入双时滞是合理的,有助于解释HTLV-I病毒的传播现象.     

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.     

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.     

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.     

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.     

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.     

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.     

Steady state and equilibrium exchange kinetic studies of the sheep brain glutamine synthetase reaction.

The kinetic mechanism of the sheep brain glutamine synthetase has been examined by both initial rate kinetics using the glutamate analog beta-glutamate and by isotope exchange measurements at equilibrium. Results of the initial rate studies were compatible with a number of sequential mechanisms but not with a partially or fully ordered rapid equilibrium or a ping-pong mechanism. Kinetic parameters at 37 degrees and pH 7.2 were K beta-Glu = 16 mM, KATP = 0.28 mM, and KNH2OH = 1.4 mM. For all equilibrium exchanges studied (ATP in equilibrium ADP, ATP in equilibrium Pi, and Glu in equilibrium Gln), the rate of exchange rose smoothly to a maximum as all substrates and products were simultaneously raised in a constant ratio. This result is in accord with a random order of substrate addition. A brief treatment of equilibrium exchange rates in cases where all substrate/product pairs are varied together is also presented.     

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。