中立型时滞逻辑斯谛方程的全局渐近稳定性和振动性

本文研究中立型时滞Logistic方程N（t）=N（t）)〔a－bN(t－τ)－cN(t－τ)－dN(t)〕,t≥t_0(E),其中τ,φ∈［0,∞],a,b,c,d∈R,得到方程（E）的正解关于正常数平衡点全局渐近稳定和振动的充分条件．本文所用方法与其他文献不同,所得结果发展了文献[1—4]的结果,其中定理4回答了文献[10]所提出的一个公开问题．     

中立型时滞Volterra系统解的稳定性

本文研究中立型时滞Volterra系统解的渐近稳定性，得到系统的正常数平衡点为渐近稳定的充分条件，发展了文献〔6〕的结果，回答了文献〔7〕所留下的一个未解决问题．     

相互干扰的捕食与被捕食者种群的Hassall模型定性分析

本文证明了Hassall模型的渐近稳定性、有界性、全局稳定性。解决了文献[1]对该模型的三个猜想：（1）模型在某种条件下,正平衡点（x^*,y^*）是渐近稳定的;（2）模型的一切正初始条件的解有界;（3）模型在一定条件下,正平衡点（x^*,y^*）是全局稳定的。     

OSCILLATIONS AND GLOBAL ATTRACTIVITY OF PERIODIC SOLUTION IN A MODEL OF RESPIRATORY DYNAMICS

61．IntroductionIn〔2〕and〔5〕，MackeyandGlasshaveproposedamodelforresplratorydynamlcswhichIsbasedonthelevelofconcentrationofCOzInthe．arterialbloodofamammal．Let一（t）b6th68ft6fls！COflC6lltfstlottofCOZ，th6flH［sgOV6tfl6dbyth66qU8tlofiwherer，p，0，narepositiveparameters，rlsanonnegatlvedelayandvmdenotesthemaxi－—uffi‘V6tttllst1Ofl’rateOfCOZ．Iflsf6Celltpsp6f〔3），GOpslS8ffiy6tslObtslllEdSUfflCIElltconditionsforallpositivesolutionsof（1．1）tooscillateaboutthePositiveequl…     

具脉冲效应时滞微分方程的全局吸引性

系统研究了具脉冲效应时滞系统x(t)=f(t,x(t-τ1(t)),…,x（t-τm（t）））,t,t-τi(t）≠tk,k∈Z^ ,x(tk^ )=x(tk) Ik(x(tk)),t=tk,k∈Z^ 的正平衡态的全局吸引性,并把得到的理论结果应用到多个具脉冲效应时滞的种群模型。     

时滞Nicholson＇s Blowflies方程中行波解的Hopf分支

主要利用时滞微分方程中Hopf分支理论探讨时滞Nicholson＇s Blowflies方程中行波解随时滞量τ大小变化的分支行为.结果发现时滞量经过某一数值τ_0=1/（cω_0） arcsin-cω_0/p时,原系统会产生分支现象,最终导致形成周期性行波解.     

一个生物化学反应模型的定性分析

本文对生物化学反应模型．其中A＞0,B＞0,进行了定性分析,结果是：系统的一切正初值的正半轨线有界;当B＜AB 1时系统不存在极限环;当B＞AB＋1时,系统存在唯一稳定的极限环．从而改进了文〔2〕的结论．     

一类含分布时滞革新传播模型的稳定性

建立了一类含分布时滞的革新传播模型dU（t）/dt=-（α＋βA（t））U（t）-pU（t）＋p,dA（t）/dt=∫＋∞ 0 αE（τ）U（t-τ）dτ＋βU（t）A（t）-（p＋k）A（t）。研究了分布时滞对传播过程的影响,讨论了正平衡点的存在性和唯一性及其局部与全局的渐近稳定性,当分布时滞的核函数取δe^-δτ时,证明了正平衡点是绝对渐近稳定的。     

一类Holling功能性反应模型极限环的唯一性

考虑功能性反应的捕食-食饵模型这里y表示捕食者种群的密度,当a-（22）≠0时它具有线性密度制约,x表示食饵种群密度,当φ（x）≡ax/（1＋ωx）时称（1）为第二类功能性反应模型．文〔1〕研究了捕食者没有密度制约（对应于a_（22）=0）、食饵具有线性密度制约(对应于g（x）=b_1-a_(11)x）的Ⅱ类功能性反应模型（1）,得到了极限环存在性及唯一性的完整结论．最近文〔2〕在a_(22)≠O的条件下讨论了系统(1),得到了极限环的存在性与不存在性等福建省自然科学基金和国家自然科学基金资助项目（19371069号）．本文第一作者现为浙江大学访问学…     

L2[o,r2]上的人口算子

用LZ〔0,:。〕表示通常意义下的Hilbert空间.在空间L“〔0,1。〕中,人口发展算子A“2’定义如下:定义域。‘A,={。‘·,卜‘·,dP(了) dr一“(r)p(,)〔LZ〔o,:,〕;p(o)_。f犷,,_,.,、:,_、*,_、J_1、*‘_、二。,,、‘,*、‘_、__dp(:)=夕l无(r)h(了)户(,)d了卜对p(1)〔D(A),(AP)(7)=一丝书井三 rJ九一’一“一’J‘一‘一’dT一“(r)P(犷),其中,1。为社会中人能活到的最大年龄,〔;,,12〕为妇女育龄区间,h(1)表示生育模式,k(下)表示女性比例函数,那(犷)表示相对死亡率,口>o为妇女总和生育率.拼(r),k(了),h(了)满足下面条件(I).召(,),…     

Recent advances in the study of Kaposi's sarcoma-associated herpesvirus replication and pathogenesis

It has now been over twenty years since a novel herpesviral genome was identified in Kaposi's sarcoma biopsies. Since then, the cumulative research effort by molecular biologists, virologists, clinicians, and epidemiologists alike has led to the extensive characterization of this tumor virus, Kaposi's sarcoma-associated herpesvirus(KSHV; also known as human herpesvirus 8(HHV-8)), and its associated diseases. Here we review the current knowledge of KSHV biology and pathogenesis, with a particular emphasis on new and exciting advances in the field of epigenetics. We also discuss the development and practicality of various cell culture and animal model systems to study KSHV replication and pathogenesis.     

The structure, reproduction and taxonomy of Vidalia and Osmundaria (Rhodophyta, Rhodomelaceae)

Comprises species occurring mostly in subtidal habitats in tropical, subtropical and warm-temperate areas of the world. An analysis of the type species, V. spiralis (Sonder) Lamouroux ex J. Agardh, a species from Australia, establishes basic characters for distinguishing species in the genus. These characters are (1) branching patterns of thalli, (2) flat blades that may be spiralled on their axis, (3) width of the blade, (4) primary or secondary derivation of sterile and fertile branchlets and (5) position of sterile and fertile branchlets on the thalli. Application of the latter two characters provides an important basic method for separation of species into three major groups. Osmundaria , a genus known only in southern Australia, was studied in relation to Vidalia , and its separation from the Vidalia assemblage is not accepted. Species of Vidalia therefore are transferred to the older genus name, Osmundaria. Two new species, Osmundaria papenfussii and Osmundaria oliveae are described from Natal. Confusion in the usage of the epithet, Vidalia fimbriala Brown ex Turner has been clarified, and Vidalia gregaria Falkenberg, described as an epiphyte on Osmundaria pro/ifera Lamouroux, is revealed to be young branches of the host, Osmundaria prolifera.     

New or rare chromosome counts in Artemisia L. (Asteraceae, Anthemideae) and related genera from Kazakhstan

Fifteen chromosome counts of six Artemisia taxa and one species of each of the genera Brachanthemum, Hippolytia, Kaschgaria, Lepidolopsis and Turaniphytum are reported from Kazakhstan. Three of them are new reports, two are not consistent with previous counts and the remainder are confirmations of very scarce (one to four) earlier records. All the populations studied have the same basic chromosome number, x = 9, with ploidy levels ranging from 2x to 6x. Some correlations between ploidy level, morphological characters and distribution are noted.     

肝癌中HBV和HCV基因和抗原的分布及意义

采用原位分子杂交方法检测HCV RNA及HBV X基因;采用免疫组织化学方法研究HCV核心抗原,非结构区C33c抗原及HBxAg在肝细胞肝癌中的定位及分布.结果表明(1)HCV RNA、HBV X基因在肝细胞肝癌组织检出率分别为40%(55/136)和82%(112/136).HCV RNA定位于癌细胞的胞浆内,阳性细胞呈散在、灶状及弥漫分布三种形式;HBV X基因在肝癌细胞中的分布呈胞浆型、核型及核浆型,阳性细胞也呈上述三种分布形式;(2)HCV C33c抗原、核心抗原在肝细胞肝癌中的阳性率为81%(133/164)及86%(141/164).C33c抗原定位于癌细胞及肝细胞的胞浆内;核心抗原既定位于癌细胞核中,又可定位于胞浆中.C33c抗原阳性细胞以灶状分布为主;而核心抗原阳性细     

Selection with two alleles and complete dominance

For a plant selection model with frequency-independent viabilities, fertilities and selfing rates, it is shown that apart from global fixation, for certain parameter combinations a protected polymorphism and facultative fixation (either allele may become fixed according to initial frequencies) may both occur. Facultative fixation requires different selling rates for the dominant and recessive type. Protection of the polymorphism requires resource allocation for male and female function. In this connection the problem of purely genetically caused population extinction is discussed.
For general frequency dependence and regular segregation, the chances for establishment of a completely recessive gene are compared to those of a completely dominant gene. It is proven that the process of establishment of the recessive gene, despite a fitness advantage, may be considerably endangered by drift effects if random mating prevails. The recessive gene may reach the same effectivity in establishment as a dominant gene, only if the recessive homozygote mates exclusively with its own type during the period of establishment.