一类具有非线性发生率的传染病模型的稳定性

建立和研究一类具有非线性发生率的传染病模型,得到该模型基本再生数R_0的表达式,运用Lyapunov函数和第二加性复合矩阵理论证明了当R_0<1时无病平衡点全局渐近稳定,此时疾病消失,当R_0>1时地方病平衡点全局渐近稳定,此时疾病在人群中流行.     

一类4-正则平面图的邻点可区别关联色数

所谓图R_n是指具有如下结构的平面图:R_n=(V,E),其中顶点集合V={u_1,u_2,…,u_n}U{v_1,v_2,…,v_n},边集合E={u_iu_(i+1),v_iv_(i+1),u_iv_i,u_iv_(i+1)|i=1,2,…,n},其中u_(n+1)=u_1,v_(n+1)=v_1.通过研究R_n的邻点可区别关联着色,给出了当n=4,n是3或者5的正整数倍时,R_n的邻点可区别关联色数.     

Incidence properties of cosets in loops

We study incidence properties among cosets of infinite loops, with emphasis on well‐structured varieties such as antiautomorphic loops and Bol loops. While cosets in groups are either disjoint or identical, we find that the incidence structure in general loops can be much richer. Every symmetric design, for example, can be realized as a canonical collection of cosets of a infinite loop. We show that in the variety of antiautomorphic loops the poset formed by set inclusion among intersections of left cosets is isomorphic to that formed by right cosets. We present an algorithm that, given a infinite Bol loop S, can in some cases determine whether |S| divides |Q| for all infinite Bol loops Q with S?Q, and even whether there is a selection of left cosets of S that partitions Q. This method results in a positive confirmation of Lagrange's Theorem for Bol loops for a few new cases of subloops. Finally, we show that in a left automorphic Moufang loop Q (in particular, in a commutative Moufang loop Q), two left cosets of S?Qare either disjoint or they intersect in a set whose cardinality equals that of some subloop of S.     

80°/65°双三角翼摇滚特性风洞实验研究

介绍了在FL-23高速风洞中研究自由摇滚的装置、试验方法、数据采集等试验技术.在马赫数从0.3到0.6范围内,对应的雷诺数从0.56×107/m至1.126×107/m范围内,开展了双三角翼大迎角下的摇滚特性的研究,包括迎角、马赫数、初始释放等参数的影响,给出了典型的结果.结果表明,随着模型迎角的增加,双三角翼呈现不同的滚转运动形态,包括静态稳定、准极限环摇滚、双周期震荡等;试验中马赫数提高对翼摇滚起抑制作用;摇滚运动的最终平衡状态和摇滚幅值与初始状态无关.     

一种准确聚焦掠入射球面光栅单色仪的光学设计

提出了一种用于低碎屑激光等离子体软X射线光谱测试的球面光栅单色仪的光学设计方案。其设计思想是通过改变衍射光栅的偏向角使入射狭缝在所要求的波段范围内都能准确聚焦在出缝处,分析了系统的在数对单色仪技术指标的影响,优化了设计方案,使系统在13nm处的分辨率λ/Δλ≥2000（狭缝开启50um)。     

AFM analysis of sidewall formation in low angle incidence microchannel epitaxy of GaAs

In this paper we show a detailed AFM observation of GaAs epilayers grown on GaAs (0 0 1) substrate patterned with SiO₂ mask by low angle incidence microchannel epitaxy (LAIMCE). We have found that low index facets are formed as sidewalls of the epilayers grown in open window aligned along singular directions. We have also found that low index facets are formed as sidewalls for epilayers showing a zigzagging edge. In the case of the epilayers grown in an open window aligned 10° off [0 1 0], for which lateral growth is maximum, we have found round shape sidewalls and (0 0 1) terraces at the boundary of the sidewall and the top surface. We concluded that the lateral growth proceeds when the sidewall is rough, while it stops when low index facets are formed as sidewalls.     

Petersen图的Hamilton性和边色数

对简单图G(V,E),定义图G的关联图I(G)为V(I(G))={(ve)|v∈V(G)且e∈E(G)和v与e关联},E(I(G))={(ue,vf)Iu=v或e=f或uv=e或uv=f}.本文证明了Petersen图可被分解为边不交的Hamilton-圈和一个1-因子的并.     

路与完全图的笛卡尔积图和广义图K(n,m)的关联色数

Richrd A.Brualdi和J.Quinn Massey在[1]中引入了图的关联着色概念,并且提出了关联着色猜想,即每一个图G都可以用△(G)+2种色正常关联着色.B.Guiduli[2]说明关联着色的概念是I.Algor和N.Alon[3]提出的有向星荫度的一个特殊情况,并证实[1]的关联着色猜想是错的,给出图G的关联色数的一个新的上界是△(G)+O(Log(△G)).[4]确定了某些特殊图类的关联色数.本文给出了路和完全图的笛卡尔积图的关联色数,而且利用此结果又确定了完全图Kn的广义图K(n,m)的关联色数.     

Single-Longitudinal-Mode Pulsed Dye Laser with Coaxial End-Pumping and Self-Seeding

We report a single-longitudinal-mode pulsed dye laser scheme in grazing incidence geometry. The points are to incorporate coaxial end-pumping and self-seeding into the conventional grazing incidence geometry termed the Littman scheme (Appl. Opt. ²³ (1984) 4465). It is shown that the present scheme can considerably reduce the pump threshold and realize higher output power with better stability than the conventional Littman scheme.     

具有非线性接触率和时滞的SIRS流行病模型

本文研究了具有非线性接触率βＩ＾ｐｓ／１＋αＩ＾ｑ和恢复类中具有分布时滞的ＳＩＲＳ流行病模型的解的存在性和连续性,正不变集,平衡位置以及平衡位置的稳定性。