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。     

一个三维生化反应竞争模型的非线性振荡

在微生物培养的过程中,有时会产生一些振荡现象,这种现象对应了有关数学模型中的极限环的存在性。本文中心流定理证明了一类两个微生物竞争一个具有再生功能营养物的生化模型的Hopf分支以及极限环的存在性,证明了在这一类的生化培养中非线性振荡现象同样存在。     

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：dx/dt=box（b1＋b2x-b3x^2）-b4xy，dy/dt=-cy＋（ax-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。     

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。     

正压波和斜压波的三波共振与低频振荡

通过引进δ＝Ｈ＿１／Ｈ＿２参数，对两层模式中的正压波和斜压波（考虑了层结作用）的三波共振进行了研究，结果表明：δ叁数对三波共振条件有很大的影响；并进一步讨论了在一定初始振幅的条件下，δ参数和非线性强度对三波共振周期的影响；指出：在一定的初始振佰、δ参戮和非线性强度的条件下，大气中可以形成６０天以上的甚低频振荡及３０～６０天和准两周的低须振荡。     

大气中调制Rossby波的振荡特征和中纬低频振荡

研究由三阶Ｚａｋｈａｒｏｖ方程描述的调制Ｒｏｓｓｂｙ波的振荡特征，指出在中纬度地区当Ｒｏｓｓｂｙ波的经向波长２Ｌ＿ｙ满足３≤Ｌ＿ｙ≤４时，Ｒｏｓｓｂｙ的１～３波之间的非线性调制可以产生３０～６０天低频振荡；而当Ｌ＿ｙ≥３．５时，Ｒｏｓｓｂｙ２～４波之间的非线性调制也可产生３０～６０天低频振荡，可见Ｒｏｓｓｂｙ波之间的非线性调制可能是中纬３０～６０天低频振荡产生的原因之一。     

基于改进的Vensim模型模拟岩溶泉水文过程

经典的Vensim模型采用2个平行线性水箱来模拟岩溶水文系统中的慢速流和快速流, 很难模拟岩溶水文系统内的非线性水文过程。提出一种改进的R-Vensim模型, 将Vensim中的一个水箱改为非线性水箱, 同时进一步考虑不同水文条件下降雨分配系数的变化, 用于模拟岩溶含水层中存在的非线性水文过程。2个模型被用于模拟丫吉试验场的S31岩溶泉, 模拟结果表明R-Vensim能更好地模拟不同降雨条件下岩溶泉水文动态过程, 而Vensim总是低估暴雨下的流量峰值和高估低强度降雨下的流量峰值。研究区岩溶水文系统中慢速流呈现强烈的非线性, 而快速流更接近于线性过程, 2个模拟时段内78.5%和68.4%的泉流量来源于非线性水箱。研究结果表明模型中考虑非线性水文过程对于岩溶泉流量尤其低流量过程的精准模拟十分重要。      

基于模糊小波网络的伺服系统参数辨识研究

伺服系统大多是非线性系统,难以对其建立准确的控制模型,其位置、和速度检测信号易受干扰,而小波网络具有多分辨率特性和任意逼近能力。利用其非线性映射能力对系统的输入输出关系进行模拟,将小波网络和模糊规则结合对系统的位置和速度进行辨识,动态调整网络的权值W和模糊规则,将非线性映射的问题转化为求解系统最优解,从而产生一种新的系统辨识方法,并以永磁伺服系统为例,设计了辨识的结构模型和策略,实验表明该算法可以达到较高的系统控制要求。     

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。     

Effect of outplanting time on commercial cultivation of kelp Laminaria saccharina at the southern limit in the Atlantic coast,N.W.Spain

The aim of the study is to examine the influence of the outplanting time on the cultivation of the kelp Laminaria saccharina in the northwestern Spain, close to its southern limit of distribution in the North Atlantic coast. We compared two L. saccharina cultures outplanted in February and December. We found that the starting time of outplanting affects to the yield and the substantiality value, as well as the growth rate. The yield, the substantiality value and the growth rates of L. saccharina sporophytes obtained for the trial outplanted in December were significantly higher than those in February. These results can be mainly explained by the effect of temperature on the growth of L. saccharina sporophytes during cultivation. On the other hand, our results show that even in the southern limit of distribution of L. saccharina, the cultivation of this species was very profitable in high yield and quality.     

Effect of carbon and nitrogen ratio control on Artemia growth,water quality,biofloc microbial diversity under high salinity and zero-water exchange culture condition

Biofloc technology has been applied successfully in the intensive aquaculture of several fish and shrimp species.The growth of heterotrophic microorganisms can be stimulated through adding extra carbon,which reduces the nitrogen level in the water and provides microbial protein to the animals.However,most of the studies and practical applications have been conducted in freshwater and marine environment.This paper focused on brine shrimp Artemia that lives in high salinity environment together with other halophilic or halotolerant microorganisms.The effect of carbon supplementation on Artemia growth,water quality,and microbial diversity of bioflocs was studied in the closed culture condition without any water exchange.The salinity of the culture medium was 100.A 24-d culture trial was conducted through supplementing sucrose at carbon/nitrogen(C/N)ratio of 5,15,and 30(Su5,Sul5,and Su30),respectively.The culture without adding sucrose was used as a control.Artemia was fed formulated feed at a feeding ration of 60% recommended feeding level.The results showed that sucrose supplementation at higher C/N ratio(15 and 30)significantly improved the Artemia survival,growth and water quality(P0.05).Addition of sucrose at C/N ratio of 15 and 30 significantly increased biofloc volume(BFV)(P0.05).The Illumina MiSeq sequencing analysis showed that supplementing carbon at C/N ratio of 15 had a better total bacterial diversity and richness,and shaped the microbial composition at genera level.This study should provide information for studying the mechanism of biofloc technology and its application in high salinity culture conditions.     

Effect of outplanting time on commercial cultivation of kelp <Emphasis Type="Italic">Laminaria saccharina</Emphasis> at the southern limit in the Atlantic coast,N.W. Spain

The aim of the study is to examine the influence of the outplanting time on the cultivation of the kelp Laminaria saccharina in the northwestern Spain, close to its southern limit of distribution in the North Atlantic coast. We compared two L. saccharina cultures outplanted in February and December. We found that the starting time of outplanting affects to the yield and the substantiality value, as well as the growth rate. The yield, the substantiality value and the growth rates of L. saccharina sporophytes obtained for the trial outplanted in December were significantly higher than those in February. These results can be mainly explained by the effect of temperature on the growth of L. saccharina sporophytes during cultivation. On the other hand, our results show that even in the southern limit of distribution of L. saccharina, the cultivation of this species was very profitable in high yield and quality.     

马氏珠母贝壳长生长模型研究

以Cp统计量作为确定马氏珠母贝壳长最优生长模型的准则,通过Levenberg-Marquardt迭代法求出模型中各生长参数,用Brody、von Bertalanffy、Gompertz、Logistic和Richards 5个生长模型对马氏珠母贝壳长的生长进行了拟合。结果表明,在马氏珠母贝生长的第一年中,壳长生长过程遵循Brody生长模型,其壳长生长极限值为56.572 mm(43.807～69.337,95%置信区间)。     

Distribution of vertical turbulent mixing parameter caused by internal tidal waves and solitary waves in the South Yellow Sea

Many observations show that in the Yellow Sea internal tidal waves (ITWs) possess the remarkable characteristics of internal Kelvin wave, and in the South Yellow Sea (SYS) the nonlinear evolution of internal tidal waves is one of the mechanisms producing internal solitary waves (ISWs), which is different from the generation mechanism in the case where the semidiurnal tidal current flows over topographic drops. In this paper, the model of internal Kelvin wave with continuous stratification is given, and an elementary numerical study of nonlinear evolution of ITWs is made for the SYS, using the generalized KdV model (GKdV model for short) for a continuous stratified ocean, in which the different effects of background barotropic ebb and flood currents are considered. Moreover, the parameterization of vertical turbulent mixing caused by ITWs and ISWs in the SYS is studied, using a parameterization scheme which was applied to numerical experiments on the breaking of ISWs by Vlasenko and Hutter in 2002. It is found that the vertical turbulent mixing caused by internal waves is very strong within the upper layer with depth less than about 30m, and the vertical turbulent mixing caused by ISWs is stronger than that by ITWs.     

A continuous time delay-difference type model(CTDDM) applied to stock assessment of the southern Atlantic albacore Thunnus alalunga

A continuous time delay-difference model(CTDDM) has been established that considers continuous time delays of biological processes.The southern Atlantic albacore(Thunnus alalunga) stock is the one of the commercially important tuna population in the marine world.The age structured production model(ASPM) and the surplus production model(SPM) have already been used to assess the albacore stock.However,the ASPM requires detailed biological information and the SPM lacks the biological realism.In this study,we focus on applying a CTDDM to the southern Atlantic albacore(T.alalunga) species,which provides an alternative method to assess this fishery.It is the first time that CTDDM has been provided for assessing the Atlantic albacore(T.alalunga) fishery.CTDDM obtained the 80%confidence interval of MSY(maximum sustainable yield) of(21 510 t,23 118 t).The catch in 2011(24 100 t) is higher than the MSY values and the relative fishing mortality ratio(F_(2011)/F_(MSY)) is higher than 1.0.The results of CTDDM were analyzed to verify the proposed methodology and provide reference information for the sustainable management of the southern Atlantic albacore stock.The CTDDM treats the recruitment,the growth,and the mortality rates as all varying continuously over time and fills gaps between ASPM and SPM in this stock assessment.     

Violent transient sloshing-wave interaction with a baffle in a three-dimensional numerical tank

A finite difference model for solving Navier Stokes equations with turbulence taken into account is used to investigate viscous liquid sloshing-wave interaction with baffles in a tank. The volume-of-fluid and virtual boundary force methods are employed to simulate free surface flow interaction with structures. A liquid sloshing experimental apparatus was established to evaluate the accuracy of the proposed model, as well as to study nonlinear sloshing in a prismatic tank with the baffles. Damping effects of sloshing in a rectangular tank with bottom-mounted vertical baffles and vertical baffles touching the free surface are studied numerically and experimentally. Good agreement is obtained between the present numerical results and experimental data. The numerical results match well with the current experimental data for strong nonlinear sloshing with large free surface slopes. The reduction in sloshing-wave elevation and impact pressure induced by the bottom-mounted vertical baffle and the vertical baffle touching the free surface is estimated by varying the external excitation frequency and the location and height of the vertical baffle under horizontal excitation.