Qualitative analysis on an SIRS reaction–diffusion epidemic model with saturation infection mechanism

In this paper, we deal with an SIRS reaction–diffusion epidemic model with saturation infection mechanism. Based on the uniform boundedness of the parabolic system, we investigate the extinction and persistence of the infectious disease in terms of the basic reproduction number. To better investigate the effects of infection mechanism and individual diffusion, we further analyze the asymptotic profiles of the endemic equilibrium for small or large motility rate and large saturation rate. In particular it is shown that large saturation may cause the elimination of disease. Our study may provide some significant useful insight on disease control and prevention.     

谈谈温度的概念

本文基于对温度概念新的教学要求，阐述了温度概念的建立及其物理意义，并以现代的观点对温度概念的延伸作了初浅的讨论．     

基于平行活动围道模型的高分辨率遥感影像城区主干道路段提取

为了提取并表示高分辨率遥感影像中的主干道路段,提出了一种多分辨框架下的平行活动围道模型的算法.该算法在活动围道模型原理的基础上,重新定义各能量项:采用抛物线做为道路段的先验模型,增加了平行性能量,并采用多分辨框架下的梯度做为外部能量.该模型的优化过程实现了道路的定位,得到的结果是平行抛物线的参数,实现了道路的矢量表示.实验结果表明,能有效提取高分辨率遥感影像中的主干道路段.     

用蒙特卡罗光子追迹方法分析闪光灯的结构设计

闪光灯反光罩结构设计的目标是使得所拍摄视场内的光能量分布尽量均衡。不同于基于几何光学理论的闪光灯计算和设计方法,采用了蒙特卡罗光子追迹法来分析闪光灯的结构设计。通过对照相机闪光灯几何结构的分析,引入余弦随机变量等方法,建立了闪光灯系统中光源、反光罩、菲涅耳透镜等部件的数学模型。先用蒙特卡罗光子追迹法模拟了单光子在闪光灯中飞行的各种可能状态,再通过产生大量光子仿真真实的情况。并对一个具体的闪光灯结构进行了计算,计算得到了光强和光子方向矢量在水平、垂直两个方向的投影角之间的分布曲线图。仿真结果符合设计要求并与实测曲线很接近,从而验证了蒙特卡罗光子追迹法在闪光灯结构设计中的可行性。     

半色调荧光图像的光谱反射与透射模型

荧光油墨半色调印刷品的显色预测规律是彩色成像领域内十分关键的课题。把荧光半色调印刷品反射出来的光分成两个独立的部分,即由最初入射光组成的主光流和由于吸收了主光流而产生的荧光流;并且采用了一个指数矩阵来描述墨层产生的荧光光强,从而得出了荧光半色调图像色彩的光反射规律。考虑到入射光中从一种颜色油墨入射后再由同色油墨出射的概率要比从其它色油墨出射的概率要大的事实,讨论中引入权重因子描述从同色油墨出射部分与从整个表面出射部分比例不同的现象,建立了荧光油墨半色调图像的Clapper-Yule新光谱反射率模型。     

开边界条件下一类新Hubbard模型的精确解

用坐标Bethe ansatz方法详细研究了开边界条件下一类新Hubbard模型的可积性问题. 得到了系统的能谱、可积边界条件和Bethe ansatz方程.     

Anomalous Hall effect of heavy holes in III-V semiconductor quantum wells

The anomalous Hall effect of heavy holes in semiconductor quantum wells is studied in the intrinsic transport regime, where the Berry curvature governs the Hall current properties. Based on the first--order perturbation of wave function the expression of the Hall conductivity the same as that from the semiclassical equation of motion of the Bloch particles is derived. The dependence of Hall conductivity on the system parameters is shown. The amplitude of Hall conductivity is found to be balanced by a competition between the Zeeman splitting and the spin--orbit splitting.     

Construction of the elliptic Gaudin system based on Lie algebra

Gaudin model is a very important integrable model in both quantum field theory and condensed matter physics. The integrability of Gaudin models is related to classical r-matrices of simple Lie algebras and semi-simple Lie algebra. Since most of the constructions of Gaudin models works concerned mainly on rational and trigonometric Gaudin algebras or just in a particular Lie algebra as an alternative to the matrix entry calculations often presented, in this paper we give our calculations in terms of a basis of the typical Lie algebra, A _n , B _n , C _n , D _n , and we calculate a classical r-matrix for the elliptic Gaudin system with spin.      

手征夸克模型下ud四夸克态的研究(英文)

在手征SU(3)夸克模型和扩展的手征SU(3)夸克模型的框架下,用变分的方法系统地研究了同位旋为0、1,自旋宇称为0~ 、1~ 和2~ 的ud■四夸克系统6个低组态的能量.模型的参数取自以前的工作,它能很好地描述核子-核子散射相移以及核子-超子散射截面.S道相互作用的参数由拟合K介子和K~*介子的质量定出,并且考虑了具有相同量子数的态之间的态混合效应.结果表明,同位旋为0且自旋宇称为1~ 的ud■能量低于相应的K~*K~*的阈能,且该组态中KK~*的成分相当小,因此该组态的宽度可能较小,可视为一个可能的四夸克态的候选者.