一个非线性连续培养模型极限环的位置

微生物培养是生化工程中的一个重要课题。研究了一个非线性连续微生物培养动力系统的极限环的相对位置。对带非常数产物系数的连续培养模型进行推广。模型中的极限环对应于发酵和生化培养中的非线性振荡,其相对位置对研究连续培养中振荡产生的时间和范围是有意义的。     

一个非线性连续培养模型极限环的位置

微生物培养是生化工程中的一个重要课题。研究了一个非线性连续微生物培养动力系统的极限环的相对位置。对带非常数产物系数的连续培养模型进行推广。模型中的极限环对应于发酵和生化培养中的非线性振荡，其相对位置对研究连续培养中振荡产生的时间和范围是有意义的。     

非线性四阶边值问题的正解

利用锥不动点指数研究一类四阶非线性边值问题,证明了正解的存在性.     

非线性四阶边值问题的正解

利用锥不动点指数研究一类四阶非线性边值问题,证明了正解的存在性.     

一类食饵为Smith增长模型且基于比率的食饵-捕食模型的定性分析

研究一类食饵的增长为Smith模型且基于比率和具有第Ⅱ类功能性反映的捕食一食饵系统,对系统进行了稳定性分析,得到了奇点渐近稳定的条件和极限环存在的条件,并指出,系统的持续生存不仅与参数有关,还与其初值有关。     

Huxley方程的定性分析

运用微分方程定性理论，对Huxley方程进行定性分析，得到了方程在有限奇点的稳定性及极限环不存在性的结论，并借助Maple软件做出相图．     

关于一类微分方程的极限环问题

本文主要研究一个从实际问题中提出的非线性微分方程模型、完整地解决了该模型极限环的存在唯一性以及不存在性问题、并对所得结果给出了实际解释。     

一类推广的Leslie-Gower型捕食-被捕食模型的动力学性质研究

探讨了一类推广的Leslie-Gower型捕食-被捕食模型的动力学性质。以HollingII型功能反应和推广的Leslie-Gower模式为基础建立了无时滞和有时滞的捕食-被捕食种间作用模型;分析了无时滞模型共生平衡点的稳定性和Hopf分支,得到了共生平衡点的稳定性条件,找到了使系统发生Hopf分支的参数临界值,建立了系统存在稳定极限环的条件;分析了时滞模型系统共生平衡点的渐近稳定性以及孕育时滞参数值变化对模型系统共生平衡点稳定性的影响,找到了时滞模型系统发生Hopf分支的参数临界值,证明了当时滞参数在临界值附近变化时,系统也将发生Hopf分支。     

粒子迁移方程中的一类反问题

积－微分方程是一类应用广泛且讨论较难的数学问题，其中，反问题更具有实际应用价值。本文研究了一类以迁移理论为背景的积－微分方程的反问题，证明了这类反问题解的存在性和唯一性。     

一类捕食者—被捕食者种群模型的定性分析

利用常微分方程的定性理论,研究了两个种群具有非线性密度制约的捕食-被捕食者系统:dxdt=b0x(b1+b2x-b3x2)-b4xy,dydt=-cy+(αx-βy)y,的平衡点的性质,并证明了该系统存在唯一极限环的一个充分必要条件。     

EXAMINATION OF SILICATE LIMITATION OF PRIMARY PRODUCTION IN JIAOZHOU BAY, CHINA Ⅰ. SILICATE BEING A LIMITING FACTOR OF PHYTOPLANKTON PRIMARY PRODUCTION

Jiaozhou Bay data collected from May 1991 to February 1994, in 12 seasonal investigations, and provided the authors by the Ecological Station of Jiaozhou B ay, were analyzed to determine the spatiotemporal variations in temperature, light, nutrients (NO-3-N, NO-2-N, NH+4-N, SiO2-3-Si, PO3-4-P), phytoplankton, and primary production in Jiaozhou Bay. The results indicated that only silicate correlated well in time and space with, and had important effects on, the characteristics, dynamic cycles and trends of, primary production in Jiaozhou Bay. The authors developed a corresponding dynamic model of primary production and silicate and water temperature. Eq.(1) of the model shows that the primary production variation is controlled by the nutrient Si and affected by water temp erature; that the main factor controlling the primary production is Si; that water temper ature affects the composition of the structure of phytoplankton assemblage; that the different populations of the phytoplankton assemblage occupy different ecologica l niches for C, the apparent ratio of conversion of silicate in seawater into phytoplankton biomas and D, the coefficient of water temperature's effect on phytoplankton biomass. The authors researched the silicon source of Jiaozhou Bay , the biogeochemical sediment process of the silicon, the phytoplankton predominan t species and the phytoplankton structure. The authors considered silicate a limit ing factor of primary production in Jiaozhou Bay, whose decreasing concentration of silicate from terrestrial source is supposedly due to dilution by current and up take by phytoplankton; quantified the silicate assimilated by phytoplankton, the intrins ic ratio of conversion of silicon into phytoplankton biomass, the proportion of silicate uptaken by phytoplankton and diluted by current; and found that the primary production of the phytoplankton is determined by the quantity of the silicate assimilated by them. The phenomenon of apparently high plant-nutrient concentrations but low phytoplankton biomass in some waters is reasonably explained in this paper.     

深基坑双层土体空间效应分析

随着城市的不断发展,基坑开始由传统的二维模式向三维空间转变。该文借助于坑壁土体的三维破坏模式,推导出双层土体的破坏模型,在此模型基础上基于土体塑性上限理论及极限平衡分析理论,提出了考虑空间效应的土压力计算公式以及相应的空间效应影响系数。该计算公式可用于基坑土钉墙、护坡桩、地下连续墙等支护系统的设计。     

全球化语境下“母语文化”教育的失衡与出路

全球化语境对中国外语教学带来了新的挑战和压力,外语教学中存在着"母语文化"教育失衡的现象。分析了"母语文化"教育失衡的原因及重视"母语文化"导入的意义,并在教学大纲制定、教材编写、教学方法、第二课堂、教师自身文化素质等方面,对如何导入"母语文化"教学,实现"母语文化"与"目的语文化"的融合提出了建议。     

浅析小城镇建设用地管理存在的问题及对策

改革开放以来,我国小城镇迅速发展。但由于各种因素制约,特别在建设用地管理上还存在许多问题。要依法解决好小城镇建设用地管理模式,以促进小城镇可持续发展。     

船舶轨迹数据的Geodatabase管理方法

 船舶轨迹的自动观测记录已进入了大数据时代,其呈爆炸式增长的趋势给传统的轨迹数据管理方式带来了巨大挑战。本文针对通用船舶自动识别系统(AIS)岸基网络中船舶轨迹数据上传频率高,数据量大,覆盖范围广的特点,首先,分析了当前常见船舶轨迹数据存储方法存在的缺陷,概括了船舶轨迹数据的特征并对其进行抽象建模,然后,在时空立方体模型的基础上,提出了从抽样时刻、步进时段到每日航次的三层组织框架的建模思想,设计了Geodatabase的网格化三级时空立方体模型,实现了海洋运输船舶轨迹观测记录的Geodatabase管理方法。通过我国AIS岸基网络(温州-汕头)单日观测数据的实例验证,表明该模型存储及时空查询性能良好,且具有轨迹数据存储、查询和空间分析一体化管理的独特优势。     

EXAMINATION OF SILICATE LIMITATION OF PRIMARY PRODUCTION IN JIAOZHOU BAY, CHINA I. SILICATE BEING A LIMITING FACTOR OF PHYTOPLANKTON PRIMARY PRODUCTION

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Numerical modeling of bed deposition in rapid flow-like landslides: a case study of the Gaolou landslide in Shaanxi Province,China

Some flow-like landslides tend to lose materials while moving on a relatively dry sliding surface.This phenomenon is called bed deposition.In contrast to the bed entrainment phenomenon,bed deposition is relatively poorly understood.Therefore,an improved depth-averaged model is proposed to quantify this phenomenon.The deposition depth is calculated according to the momentum conservation of the deposited mass,and the rheological property of the sliding mass on the bottom is modified considering an abrupt increase in the depth of the sliding surface after deposition.Utilizing the proposed model,the Gaolou landslide,a typical flowlike landside occurring on October 6 th,2006 with an obvious bed deposition phenomenon in Shaanxi Province of China,is simulated to investigate the influence of bed deposition on its propagation process.The results indicate that the proposed model can effectively depict the bed deposition phenomenon in the Gaolou landslide.Bed deposition dissipates part of the kinetic energy of this landslide;thus,the simulated debris inundation area would likely be overestimated when this effect is neglected.On the other hand,the thin liquefied layer formed by the bed deposition process reduces the friction energy dissipation,contributing to the high mobility of this landslide.