Continuous and impulsive vaccination of SEIR epidemic models with saturation incidence rates

In this paper, two delayed SEIR epidemic models with continuous and impulsive vaccination and saturating incidence are investigated. The dynamical behaviors of the disease are analyzed. For continuous vaccination, we obtain a basic reproductive number _R1$R_1$ and prove that if _R1≤1$R_1\le 1$ then the disease-free equilibrium is globally attractive and if _R1>1$R_1>1$ then the disease is permanent by using the Lyapunov functional method. For impulsive vaccination, we obtain two thresholds R^∗$R^{\ast }$ and _R∗$R_{\ast }$ and prove that if R^∗<1$R^{\ast }<1$ then the disease-free periodic solution is globally attractive and if _R∗>1$R_{\ast }>1$ then the disease is permanent by using the comparison theorem of impulsive differential equation and the Lyapunov functional method. Lastly, we compared the effects of two vaccination strategies.     

Consistency constraints and 3D building reconstruction

Virtual architectural (indoor) scenes are often modeled in 3D for various types of simulation systems. For instance, some authors propose methods dedicated to lighting, heat transfer, acoustic or radio-wave propagation simulations. These methods rely in most cases on a volumetric representation of the environment, with adjacency and incidence relationships. Unfortunately, many buildings data are only given by 2D plans and the 3D needs varies from one application to another. To face these problems, we propose a formal representation of consistency constraints dedicated to building interiors and associated with a topological model. We show that such a representation can be used for: (i) reconstructing 3D models from 2D architectural plans (ii) detecting automatically geometrical, topological and semantical inconsistencies (iii) designing automatic and semi-automatic operations to correct and enrich a 2D plan. All our constraints are homogeneously defined in 2D and 3D, implemented with generalized maps and used in modeling operations. We explain how this model can be successfully used for lighting and radio-wave propagation simulations.     

Design of experiments for bivariate binary responses modelled by Copula functions

Optimal design for generalized linear models has primarily focused on univariate data. Often experiments are performed that have multiple dependent responses described by regression type models, and it is of interest and of value to design the experiment for all these responses. This requires a multivariate distribution underlying a pre-chosen model for the data. Here, we consider the design of experiments for bivariate binary data which are dependent. We explore Copula functions which provide a rich and flexible class of structures to derive joint distributions for bivariate binary data. We present methods for deriving optimal experimental designs for dependent bivariate binary data using Copulas, and demonstrate that, by including the dependence between responses in the design process, more efficient parameter estimates are obtained than by the usual practice of simply designing for a single variable only. Further, we investigate the robustness of designs with respect to initial parameter estimates and Copula function, and also show the performance of compound criteria within this bivariate binary setting.     

On the Efficient Evaluation of Coalescence Integrals in Population Balance Models

The solution of population balance equations is a function f(t,r,x) describing a population density of particles of the property x at time t and space r. For instance, the additional independent variable x may denote the particle size. The describing partial differential equation contains additional sink and source terms involving integral operators. Since the coordinate x adds at least one further dimension to the spatial directions and time coordinate, an efficient numerical treatment of the integral terms is crucial. One of the more involved integral terms appearing in population balance models is the coalescence integral, which is of the form ∫ ₀ ^x κ(x–y, y) f(y) f(x–y)dy. In this paper, we describe an evaluation method of this integral which needs only operations, where n is the number of degrees of freedom with respect to the variable x. This cost can also be obtained in the case of a grid geometrically refined towards x=0.     

Al-Si合金的等离子电解氧化及膜层组织性能研究

为提高铝合金材料在高温下的使用性能,采用等离子电解法在锆盐体系和锆盐-钇盐复合体系中于铝硅合金表面制备了陶瓷层.分析了电解液浓度及成分对起弧电压、膜层厚度、组织及隔热温度的影响.研究结果表明:两种电解液体系中随电解液浓度的增大,起弧电压降低,陶瓷层厚度和隔热温度先增大后减小.与锆盐体系相比,锆盐-钇盐体系中起弧电压显著降低,膜层厚度与隔热温度提高.锆盐体系陶瓷层中生成了常温下稳定的t-ZrO2,锆盐-钇盐体系涂层中则生成了立方相的c-Y0.15Zr0.85O1.93.制备的两种陶瓷膜层与传统的硅酸盐膜层相比,其表面孔洞较少,锆盐-钇盐体系相对于锆盐体系其陶瓷层更加均匀、致密.     

HA-ZrO2生物复合材料的制备

首先以H3PO4和Ca(OH)2为主要原料利用湿化学方法合成了结晶良好的羟基磷灰石粉体(HA),在该粉体中分别引入15%、20%和25wt%的m-ZrO2粉体,经成型后分别在900℃、1 000℃、1 100℃和1 200℃温度下煅烧1h,详细研究ZrO2含量和烧结温度对该复合材料物相及体积密度的影响规律.结果表明:随着烧成温度的升高,该复合材料的体积密度呈上升趋势,当温度为1 000℃时达到最大值,当温度进一步升高时,体积密度下降.而复合材料中的HA相随温度的升高而不断降低,当温度超过1 000℃时该趋势更加明显.随ZrO2的引入材料体积密度有一定提高,但当ZrO2含量超过20%时,其体积密度有所降低,当ZrO2含量为20%时,杂质含量最低.     

P92钢焊接及热处理工艺

阐述P92钢现场焊接及热处理工艺方案及措施,提出初步的焊接及热处理工艺,并通过焊接工艺评定试验进一步进行验证,最后确定了合理的焊接工艺和热处理规程。     

碳化锆碱熔制备氧氯化锆的研究

以碳化锆为原料，采用碱熔一水洗一酸浸．结晶工艺制备氧氯化锆，制得的氧氯化锆产品中ZrO2含量达到36．20％。考察了氢氧化钠与碳化锆物料比、碱熔温度、碱熔时间和碳化锆粒度对碱熔过程中锆转化率的影响，以及水与碱熔料比、水洗温度和水洗时间对水洗过程中除硅率的影响。用X射线衍射分析研究了碳化锆在煅烧碱熔过程中的物相变化。结果表明，碱熔过程中碳化锆转化为偏锆酸钠，碱熔的最佳工艺条件为：氢氧化钠与碳化锆的质量比为1.5，煅烧温度800℃，煅烧时间60min，矿样粒度120目。在该工艺条件下碱熔，锆的转化率可达到99％以上。     

Preparation of Nanocrystalline ZrO_2 by Reverse Precipitation Method

1IntroductionNanomaterials attract much attention of scientists alloverthe world duetotheir many peculiar properties whichdiffer strongly fromthose of bulk solid as well as mole-cules and atoms.They have been one of the popular sub-jects in materials scie…     

Preparation of Nanocrystalline ZrO2 by Reverse Precipitation Method

Nanncrystalline ZrO2 particulates with different sizes were prepared by precipitation method using ethanol as dispersive and protective reagent. XRD patterns show that the synthesized ZrO2 is monnclinic in structure with space group P21/a when calcination temperature is in the range of 400- 1000 ℃ . It is found that the smaller the particle, the bigger the crystal lattice distortion, the worse the costal growth, and the lower the diffrnction intensity. TEM images reveal that ZrO2 particles are spherical in shape, and the particle size distribution is in narrow range. The mean sizes of the particles increase with the increase of calcination temperatures . It is first to observe tbe streaks of different crystallographic planes. Thermogravimetric analysis indicates that the crystallization temperature of ZrO2 is 461.32 ℃ . Measurement of ZrO2 relative density shows that the relative density of nanocrystalline ZrO2 powders increases witb the increasing of ZrO2 particle sizes.