猪Pitx2c基因4个SNPs的鉴定及其与肉质性状的关联分析

为研究猪Pitx2c基因与肉质性状的关系,在猪Pitx2c基因中共发现了8个SNPs位点,对其中的4个SNPs位点在4个商业猪种及8个中国地方猪种进行了等位基因频率检测,并在大白×梅山猪F2资源家系中进行了性状关联分析.结果显示,位点c.474C〉T（P〈0.01）及c.636C〉T（P〈0.05）与肉色（MCV1）存在显著或极显著相关;位点c.＊37G〉A及c.＊47G〉A与滴水损失（DLR）、系水力（WHC）及肉色（MCV1）均存在显著相关（P〈0.05）.连锁不平衡分析表明,临近的位点两两之间存在连锁不平衡（LD）.单倍型分析显示,存在两种主要单倍型,并且两拷贝的单倍型-CCGG-有利于肉质的改善.     

改进的病毒感染动力学模型的稳定性分析

提出一个改进的乙肝病毒感染动力学模型.本模型有三个平衡点.对于HBV感染人群,三个平衡点分别对应于三类人群：感染病毒后自愈人群、健康带毒人群、慢性乙肝患者人群.证明了当模型导出的基本复制数R_0〈1时病毒清除平衡点具有局部稳定性和全局渐近稳定性,当1〈R_0〈k_3d/（k_2λ-k_3a）＋1时持续带毒平衡点具有局部稳定性.     

带有参数的四阶Neumann边值问题解的存在性和多解性

在这篇文章中,我们主要研究含参数的四阶微分方程Neumann边值问题：（？）解的存在性和多解性,其中f∈C（[0,1]×R,R）,ξ,η∈R,λ∈R~＋都是参数,且满足条件：ξ/π~4＋η/π~2〈1,ξ≥-η~2/4,η〈2π~2.     

一类三次Kolmogorov系统的极限环存在性和唯一性

研究一类三次Kolmogorov系统:x=x（A0+A1x-A3x2+A2y+A4xy）,y=y（-1+x2-y）（＊）.当A1>0,A2<0,A4<0时得到:当A0-A2>A02.x＊>x＊时,系统（＊）在第一象限内存在极限环;当A0>（A1A2）/A4,A3>A3时,系统（＊）在第一象限内存在唯一的极限环.     

物种对资源竞争的动力机制及数值模拟

建立了集合种群物种在两个斑块中对资源竞争的数学模型,并进行了数值模拟实验,结果表明：（1）通过R^＊来预测竞争物种的结局,存在几种可能性：一是具有低R^＊值的物种竞争取代高R^＊值的物种;二是具有不同R^＊值的物种,甚至是具有相同R^＊值的物种也存在共存的可能性;三是具有高R^＊值的物种也可以竞争排斥低R^＊值的物种,结论存在不确定性。（2）竞争物种的随机迁移形成了源一汇结构,对物种竞争共存具有促进作用,但弱的资源利用者（较高的R^＊）的迁移率不宜过高。（3）在种群统计率相同的条件下,资源增长率差异越大,越不利于消费者物种的共存;若种群统计率不相同,在资源增长率相同的情况下,物种共存又是不可能的,在自然界中,物种共存需要资源增长率的差异。（4）不同类型的资源增长对竞争物种的稳定性的影响是不同的。     

虎眼万年青的快速繁殖

RapldPropopHonofDrni量ogal艺界mca已丞dalumYINDOng，HUANGBat－on（haitlaeof（lejle。ndqstaim，ha～A，ffe＊＊＊＊＊＊－t｝lzl；wrwi，CfollocmDz130024）1植物名称虎眼万年青（Drnitogalumcaudatum）。2材料类别子鳞茎。3塔共条件（l）MS＋NAA3．0ms／L（单位下同）＋6     

亚麻籽木酚素预防乳腺癌及与雌激素的关系

目的通过卵巢切除术建立雌性大鼠去势模型,探究亚麻籽粉木酚素预防乳腺癌的功能及与雌性激素的关系。方法将48只雌性Wistar大鼠随机分为基础饲料组（BD）、基础饲料去势组（BDC）、亚麻籽粉组（FS）和亚麻籽粉去势组（FSC）,每组12只,对全部大鼠进行二甲基苯蒽（DMBA）一次性灌胃（2mg/kg体重）建立诱发的乳腺癌实验动物模型;一周后对BDC组、FSC组大鼠行去势手术,连续观察21周,测定瘤体的体积和重量,并取乳腺组织进行病理学检查。结果实验期间动物一般状况良好,实验组大鼠未出现明显毒副作用;亚麻籽粉组（FS和FSC组）大鼠发生可触及肿瘤的时间较相应对照组晚2到4周;亚麻籽粉组大鼠单纯性增生和不典型增生以及乳腺癌发生率和病灶数均显著低于相应对照组（单纯性增生：FS vs BD,P=0.006＊＊;FSC vs BDC,P〈0.001＊＊;不典型增生：FS vs BD,P=0.048＊;FSC vs BDC,P=0.014＊;乳腺癌：FS vs BD,P=0.028＊;FSC vs BDC,P〈0.047＊）;亚麻籽粉组大鼠肿瘤体积和重量均小于基础饲料组;FS和FSC组研究结果提示亚麻籽粉木酚素抑制增生发生及肿瘤细胞的生长的能力与实验动物体内雌性激素水平有关（单纯性增生：P=0.008＊＊;不典型增生：P=0.042＊;乳腺癌：P=0.033＊）。结论亚麻籽粉木酚素可有效预防和降低化学诱癌剂DMBA所诱发的乳腺癌、癌前病变和单纯性增生的发生,预防乳腺癌的功能和效果受到体内雌性激素影响。本研究结果对未来实施木酚素预防乳腺癌及有效人群的筛选具有参考价值。     

湖南汉族人群IL-10启动子和IL-1rα基因多态性与SLE相关性研究

目的：研究湖南汉族人群IL-10启动子和IL-1受体拮抗剂（IL-1rα）的基因多态性,探讨IL-10启动子和IL-1rα基因多态性与SLE疾病的关系。方法：PCR和限制性内切酶酶切分析SLE患者（n=83）和正常对照人群（n=125）IL-10启动子和儿-1rα基因多态性,对基因频率进行分析。结果：湖南汉族人群IL-1rα及儿．10启动子基因具有多态性;SLE患者IL-1RN ＊ 1等位基因的频率显著高于正常对照组（P〈0．05,RR=5）;SLE患者IL-10启动子区-597位女A ＊、-824位＊T和ACC亚型的基因频率高于正常对照组（P〈0．001）。结论：SLE患者IL-1RN ＊1的基因频率、IL-10启动子区-597位和-824位的基因多态性与正常人比较有显著差异,提示以上基因可能与SLE的发病有一定相关性。     

新疆吐鲁番地区维吾尔族HLA-DQA1等位基因多态性研究

目的：探讨新疆吐鲁番地区维吾尔族HLA—DQA1等位基因多态性。方法：采用聚合酶链反应一序列特异性引物技术,检测107例新疆吐鲁番地区维吾尔族健康个体的HLA—DQA1等位基因频率,分析HLA—DQA1基因多态性,并将所得结果与国内其他民族的同类资料进行比较。结果：新疆吐鲁番地区维吾尔族健康个体中共检出10个等位基因,以DQA1＊0104（O．3727）、DQA1＊0501（0．2636）、DQA1＊0103（0．1318）的频率较高,DQA1＊0401（0．0045）、DQA1＊0601（0．0091）的频率较低。结果与国内其他民族的同类资料进行比较,等位基因分布频率上有共同点,也有一定的独特性。结论：新疆吐鲁番地区维吾尔族HLA—DQA1基因,与国内其他民族群体的资料比较,总体检验有显著差异（p〈0．01）,显示人类的遗传系统既有共性亦有各自的特点,显示华人群体遗传背景的复杂性,结果为人类学研究和HLA—DQA1基因相关的疾病提供了较为重要的信息.     

Screening for Drought Resistance of Rice Recombinant Inbred Populations in the Field

In a 2-year experiment, 187 genotypes were grown under well-watered and drought stress conditions, imposed at panicle initiation stage. The relationship of genotypic variation in yield under drought conditions to potential yield, heading date and flowering delay, reduction in plant height, and to a drought response index （DRI） was detected. Grain yield under drought stress conditions was associated with yield under well-watered conditions （r= 0.47^＊＊, and r= 0.61^＊＊ during 2 years of tests）. The delay of heading date ranged from -1 （no delay） to 24days, and was negatively associated with grain yield （r =-0.40^＊）, spikelet fertility percentage （r =-0.40^＊＊）, harvest index （r =-0.58^＊＊）, but positively associated with yield reduction percentage （r = 0.60^＊＊）. The reduction in plant height was negatively associated with grain yield （r =-0.24^＊＊, and r=-0.29^＊＊）, spikelet fertility percentage （r = -0.23^＊＊, and r= -0.21^＊）, harvest index （r = -0.37^＊＊, and r= -0.54^＊＊）, and positively associated with yield reduction percentage （r = 0.58^＊＊, and r= 0.58^＊＊） in 2003 and 2004, respectively. The DRI of genotypes was strongly associated with grain yield （r = 0.87^＊＊, and r= 0.77^＊＊）, fertility percentage （r = 0.66^＊＊ and r= 0.54^＊＊）, harvest index （r= 0.67^＊＊ and r= 0.61^＊＊）, and negatively associated with grain reduction percentage （r=-0.70^＊＊, and r=-0.73^＊＊） under drought stress. The results indicate that genotypes with drought resistance can be identified by measuring yield potential, delay in flowering, reduction in plant height, or DRI under test environments of well-watered and drought stress.     

A stage-structured predator–prey model with distributed maturation delay and harvesting

ABSTRACT

A stage-structured predator–prey system with distributed maturation delay and harvesting is investigated. General birth and death functions are used. The local stability of each feasible equilibria is discussed. By using the persistence theory, it is proven that the system is permanent if the coexistence equilibrium exists. By using Lyapunov functional and LaSalle invariant principle, it is shown that the trivial equilibrium is globally stable when the other equilibria are not feasible, and that the boundary equilibrium is globally stable if the coexistence equilibrium does not exist. Finally, sufficient conditions are derived for the global stability of the coexistence equilibrium.     

Coexistence in MacArthur-style consumer-resource models

The nature of and conditions for permanent coexistence of consumers and resources are characterized in a family of models that generalize MacArthur's consumer-resource model. The generalization is of the resource dynamics, which need not be of Lotka-Volterra form but are subject only to certain restrictions loose enough to admit many resource dynamics of biological interest. For any such model, (1) if there is an interior equilibrium, then it is globally attracting, else some boundary equilibrium is globally attracting-thus permanent coexistence is coexistence at a globally attracting equilibrium; (2) there is an interior equilibrium if and only if for any species, the equilibrium approached in the absence of that species and the presence of the others is invasible by that species--thus permanent coexistence is equivalent to mutual invasibility; (3) for resources without direct interactions, the conditions for permanent coexistence of the consumers admit an instructive formulation in terms of regression statistics. The significance and limitations of the models and results are discussed.     

Competitive exclusion and coexistence of pathogens in a homosexually-transmitted disease model

A sexually-transmitted disease model for two strains of pathogen in a one-sex, heterogeneously-mixing population has been studied completely by Jiang and Chai in (J Math Biol 56:373-390, 2008). In this paper, we give a analysis for a SIS STD with two competing strains, where populations are divided into three differential groups based on their susceptibility to two distinct pathogenic strains. We investigate the existence and stability of the boundary equilibria that characterizes competitive exclusion of the two competing strains; we also investigate the existence and stability of the positive coexistence equilibrium, which characterizes the possibility of coexistence of the two strains. We obtain sufficient and necessary conditions for the existence and global stability about these equilibria under some assumptions. We verify that there is a strong connection between the stability of the boundary equilibria and the existence of the coexistence equilibrium, that is, there exists a unique coexistence equilibrium if and only if the boundary equilibria both exist and have the same stability, the coexistence equilibrium is globally stable or unstable if and only if the two boundary equilibria are both unstable or both stable.     

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.     

Competition in a turbidostat for an inhibitory nutrient

A model of competition in a turbidostat between two species for an inhibitory growth-limiting nutrient is considered. It is shown that the model has rich dynamics. A coexistence equilibrium and the washout equilibrium can be asymptotically stable simultaneously so that coexistence may depend on initial conditions. Under certain conditions, periodic coexistence of the two species occurs. There is a possibility that two species coexist, whereas one species dies out in the absence of its rival.     

Effect of pathogen-resistant vectors on the transmission dynamics of a vector-borne disease

A model is introduced for the transmission dynamics of a vector-borne disease with two vector strains, one wild and one pathogen-resistant; resistance comes at the cost of reduced reproductive fitness. The model, which assumes that vector reproduction can lead to the transmission or loss of resistance (reversion), is analyzed in a particular case with specified forms for the birth and force of infection functions. The vector component can have, in the absence of disease, a coexistence equilibrium where both strains survive. In the case where reversion is possible, this coexistence equilibrium is globally asymptotically stable when it exists. This equilibrium is still present in the full vector-host system, leading to a reduction of the associated reproduction number, thereby making elimination of the disease more feasible. When reversion is not possible, there can exist an additional equilibrium with only resistant vectors.     

Multiple limit cycles in the standard model of three species competition for three essential resources

We consider the dynamics of the standard model of 3 species competing for 3 essential (non-substitutable) resources in a chemostat using Liebig's law of the minimum functional response. A subset of these systems which possess cyclic symmetry such that its three single-population equilibria are part of a heteroclinic cycle bounding the two-dimensional carrying simplex is examined. We show that a subcritical Hopf bifurcation from the coexistence equilibrium together with a repelling heteroclinic cycle leads to the existence of at least two limit cycles enclosing the coexistence equilibrium on the carrying simplex- the ``inside' one is an unstable separatrix and the ``outside' one is at least semi-stable relative to the carrying simplex. Numerical simulations suggest that there are exactly two limit cycles and that almost every positive solution approaches either the stable limit cycle or the stable coexistence equilibrium, depending on initial conditions. Bifurcation diagrams confirm this picture and show additional features. In an alternative scenario, we show that the subcritical Hopf together with an attracting heteroclinic cycle leads to an unstable periodic orbit separatrix. This research was partially supported by NSF grant DMS 0211614. KY 40292, USA. This author's research was supported in part by NSF grant DMS 0107160     

The subcritical collapse of predator populations in discrete-time predator-prey models.

Many discrete-time predator-prey models possess three equilibria, corresponding to (1) extinction of both species, (2) extinction of the predator and survival of the prey at its carrying capacity, or (3) coexistence of both species. For a variety of such models, the equilibrium corresponding to coexistence may lose stability via a Hopf bifurcation, in which case trajectories approach an invariant circle. Alternatively, the equilibrium may undergo a subcritical flip bifurcation with a concomitant crash in the predator's population. We review a technique for distinguishing between subcritical and supercritical flip bifurcations and provide examples of predator-prey systems with a subcritical flip bifurcation.     

Existence and bifurcation of stable equilibrium in two-prey,one-predator communities

In this paper, stability of two-prey, one-predator communities is investigated by Lyapunov's direct method and Hopf's bifurcation theory. Three patterns of three-species coexistence are possible. A globally stable non-negative equilibrium exists for the system even if two competing prey species without a predator cannot coexist. The stable equilibrium bifurcates to a periodic motion with a small amplitude when the predation rate increases. It is also shown that a chaotic motion emerges from the periodic motion when one of two prey has greater competitive abilities than the other. This predator-mediated coexistence can be realized by the intimate relationship between preferences of a predator and competitive abilities of two prey.