周期时间制约三维Volterra方程的周期解分枝

利用文[1]的结论。对周期时间制约三维Volterra方程产生的周期解分枝进行了讨论,在一定条件下,给出了参数空间(λ1,λ2,λ3,ω)中确定的分枝曲面。     

体内毒素浓度不相同的三维时变Volterra系统的持续生存

在环境容量很大且被污染的情形下,对体内毒素浓度不相同的三种群时变Volterra系统进行了研究,并给出了三维时变Volterra捕食系统弱平均持续生存与灭绝的条件。     

区间多种群Volterra生态系统的全局稳定性

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。     

常系数Volterra生物数学模型的解析解

Volterra生物数学模型是一个具有广泛应用价值的模型,但是至今没有得到解析解,这在一定程度上限制了Volterra模型的应用.事实上,Volterra模型解析解是可以采用初等积分法求得的.模型的解是一个标准的三次方程.     

两种作物套种生态系统动态模型的建立及分析

本文主要建立小麦、大豆两种作物套种共生生态系统的Volterra方程模型．分析该模型得知,此生态系统是相互竞争的,其自身增长率因环境因素而受抑制,且是全局稳定的．其次计算出该生态系统在平衡状态处受到标准扰动之后,向平衡状态恢复的时间,有利套种作物生长的调控。     

Nicholson模型及其同源微分方程的稳定性分析

在描述捕食者—猎物或寄主—寄生物系统的理论模型中,最常见的是Lotka—Volterra方程: 此方程的基本假设之一是认为两个相互作用的物种是完全世代重叠、连续增长的。但是,在自然界,尤其对那些生活周期较短而且受季节气候因子影响较大的昆虫及其天敌,通     

二阶Volterra型积分微分差分方程非线性边值问题的存在性与唯一性

本文利用微分不等式技巧研究了某一类Volterra型二阶积分微分差分方程非线性边值问题,在上下解存在的条件下,得到了解的存在性和唯一性定理.结果表明:这种技巧为其它边值问题的研究提出了崭新的思路.     

具收获与投放的三种群Volterra模型的周期轨道

本文在文〔2〕的基础上,研究三维动力系统的Lyapunov分枝问题．放宽了文〔2〕中关于向量场函数的限制,相应地给出从空间闭轨族扰动产生孤立周期解的判定方法．应用判定定理及椭圆函数的积分技巧,研究了具有收获与投放的三种群Volterra模型,得到了存在周期轨道的充分条件．     

哀牢山木果石栎林种群调节与竞争的初步研究

 本文研究了哀牢山徐家坝地区优势种群木果石栎的自我调节,其自疏指数为 –2.8208。采用重要值百分数求取竞争系数,以优势种群在正常纯林中的优势度作为其容纳量,并用Lotka—Volterra竞争方程讨论木果石栎群落的优势种群木果石栎、景东石栎、腾冲栲的竞争,结果表明平衡时,相对优势度分别为29.52%、39.90%、30.58%。即木果石栎群落将由木果石栎,景东石栎,腾冲栲三种植物共优组成。     

一类中立型时滞Lotka-Volterra系统的稳定性和振动性

、引言著名的Lotka－Volterra系统是研究有限空间内种群相互作用的重要工具之一．高维Lotka－Volterra系统的稳定性和振动性的研究，不仅具有理论意义，从应用的观点来看也是重要的．正如文献【3】所指出的：高维Lotka－Volterra系统在生态、经济、化学反应、医学等方面有着广泛的应用从而受到国内外众多学者的重视并发表了不少文献（4-6），但是对Lotka－Volterra系统的各种类型仍有待进一步的研究”。系统（E）的特别情形是文献【3】研究了两类不带时滞Lotka－Volterra系统的解的稳定性。种群相互作用的理论认为需要考虑每个种群对另…     

自治系统持久性的充分判别准则

本文利用Liapunov直接法的基本思想方法，讨论了自治系统的持久性，得到了其强持久和永久共存的充分判别准则及比较定理，并用上述结果讨论了Volterra模型的持久性，推广了文〔1〕的结果．     

一些具有常收获率和常投放率的三种群Volterra模型的相图分析

本文对具有某些代数曲面解的具有常收获率和常投放率的三种群Volterra模型在R_+~3内的相图进行了分析,并举出了一些具体例子。     

THE USE OF INTERFERENCE REFLECTION CONTRAST IN THE EXAMINATION OF DIATOM VALVES

Even though scanning electron microscopy (SEM) is now needed to identify some species of diatoms, the majority of identifications and quantification of these organisms in ecological works is accomplished with a light microscope, using transmitted light optical methods. In this paper we demonstrate the use of interference reflection contrast (incident light) for the examination of diatoms, a method that significantly improves the resolution of structural detail, and therefore, identification of diatom taxa with light microscopy. Using incident light we were routinely able to distinguish between structures that were close to the theoretical limit of resolution for visible light, and that were not resolvable with such standard transmitted light techniques as phase contrast and differential interference contrast (DIC). Light microscopes with epi-illumination light paths can be easily and inexpensively outfitted to use this simple technique.
Abbreviations:  DIC, differential interference contrast; IRC, interference reflection contrast; LM, light microscopy     

THE OCCURENCE OF SMALL MAMMALS IN DISCARDED BOTTLES

It has been found that discarded bottles often contain the remains of small mammals. The phenomenon is of widespread occurrence in the British Isles and involves at least ten species.
Mammals appear to be trapped in bottles because of their differential abilities to enter and exit through the neck. Entry is probably in response to feeding or exploratory drives, exit is prevented by a number of different factors. While shrews tend to occur in all bottle sizes, rodents are found more often in those bottles with the wider necks.
The practice of examining discarded bottles is indicated as an important tool in the collection of mammal distribution records.     

下丘脑—垂体—性腺（男）轴内分泌调节控制的数理模型

本文在总结了大量实验事实的基础上提出了一个下丘脑—垂体—性腺(男性)轴内分泌的调节反馈模型。与已有的横型比较,本模型克服了它们的一些困难和不太合理之处,从而与实验符合得更好些。     

CONTRASTING THE UNDERLYING PATTERNS OF ACTIVE TRENDS IN MORPHOLOGIC EVOLUTION

Gastropod evolution during the early Paleozoic featured active trends (i.e., differential replacement of morphologies) for at least three shell characters. Selective sorting, either of individual organisms or of whole species, is an obvious mechanism for such active trends. Sorting of individuals should result in a disproportionate number of ancestor to descendant transitions being in the same direction as the trend, whereas sorting of species should result in species with particular morphologies producing more daughter species. Sorting of species can occur over long periods of time or it can be concentrated over a particular interval, such as an extinction event. Constraints on morphologic evolution also can drive trends, especially in cases where it is easier to produce a particular morphology than it is to change it. Finally, active trends can be artifacts of unrelated differential diversification within a clade (i.e., species hitchhiking), which might result from sorting of species based on phylogenetically associated characters or simply by chance. Unlike other active trends, trends attributable to species hitchhiking do not support hypotheses about selection or evolutionary constraints.     

DISPERSAL AND PLANT MATING SYSTEMS: THE EVOLUTION OF SELF-FERTILIZATION IN SUBDIVIDED POPULATIONS

Intermediate rates of self-fertilization can be evolutionarily stable when the progeny of self-fertilization events are less successful migrants than those of outcrossing events, unless self-fertilization reduces an individual's contribution to the pollen pool by an amount equal to the rate at which it self-fertilizes. This result holds regardless of whether pollen or diaspores are more widely dispersed. The differential migration of selfed and outcrossed progeny may be a result of differential establishment with comparable rates of dispersal, or it may be a result of differential dispersal rates. In the first case, detailed predictions concerning the evolutionarily stable selfing rate can be made. In the second case, only qualitative predictions are possible in the absence of specific assumptions about how the migration rate is affected by the average selfing rate in each subpopulation.     

具有食饵自身抑制作用的Volterra方程的极限环解

一、引言 在捕食者与食饵相互作用的生态数学模型中,比较典型的是Volterra模型(E.C.皮洛,1978)     

THE THEORY OF DIFFUSION IN CELL MODELS

The differential equations which describe the simultaneous diffusion of water and a salt in a cell model have been formulated and solved. The equations have been derived from the general laws which describe diffusion processes, thereby furnishing a physical interpretation for the constants which enter into the theory. The theoretical time curves for the two diffusing substances are in good agreement with the experimentally determined curves and accurately reproduce all of the essential characteristics of the experiment.     

黄鳝生殖干细胞在性逆转生殖发育过程中的变化

应用组织学方法及免疫组织化学技术显示,黄鳝性逆转生殖发育过程中,生殖干细胞(GSCs)定位分布于生殖褶中,黄鳝雌性发育阶段的GSCs分散或成团存在,间性及雄性发育阶段GSCs均区分为A、B两种不同类型,雌性发育阶段GSCs与A、B两类GSCs在超微结构上存在差异。结果表明,生殖褶中GSCs是黄鳝分化生殖腺中唯一具有有丝分裂能力的生殖细胞群,雌性发育阶段GSCs表现出卵原干细胞特征,间性及雄性发育阶段GSCs为精原干细胞。CD49整合素是黄鳝雌性发育阶段GSCs和A类GSCs的表征分子。