带有媒体影响上限的传染病模型研究

媒体报道对传染病的传播有着一定的影响,但它并不是影响其传播的本质因素.通过建立一个具有分段感染率的传染病模型来刻画媒体报道对传染病传播影响的饱和性.分析了系统各平衡态的局部稳定性,同时利用排除极限环的存在性证明了各平衡态的全局稳定性.最后,通过模拟来验证我们的理论分析.     

拉马努金等式的证明及推广

对于拉马努金等式,本文首先应用数列极限的方法给出其收敛性的证明.再结合式中多重根号嵌套的结构,通过构造函数方程,给出一个推广的结果.并将这种方法推广到一般形式,最后得到了此类极限的收敛性的一般判别法.文中使用的方法,为无穷根号形式的极限问题提供了系统化思路,丰富了极限的表达形式.     

带有分布时滞和非线性发生率的媒介-宿主传染病模型全局稳定性(英文)

本文分析一类带有分布时滞和非线性发生率的媒介-宿主传染病动力学性质,得到模型基本再生数R0,发现系统中平衡态的全局动力学性质能够由基本再生数来完全确定:即,如果R01,无病平衡态是全局渐近稳定的;如果R01,则系统存在唯一地方病平衡态,并且该平衡态是全局渐近稳定的.     

线弹性问题的一个四面体元分析

构造了一个新的locking-free非协调四面体元,研究了单元对三维纯位移弹性问题的一致收敛性,得到了最优的误差估计结果.     

Interlayer shear strength of single crystalline graphite

Reported values(0.2 MPa-7.0 GPa) of the interlayer shear strength(ISS) of graphite are very dispersed.The main challenge to obtain a reliable value of the ISS using conventional measuring methods was the unavailability of sufficiently large single crystalline graphite.Here we present a novel experimental method to measure the ISS,and obtain the value as ～0.14 GPa.Our result can serve as an important basis for understanding mechanical behavior of graphite or graphene-based materials.     

Convergence in law to operator fractional Brownian motion of Riemann-Liouville type

In this paper, we extend the well-studied fractional Brownian motion of Riemann-Liouville type to the multivariate case, and the corresponding processes are called operator fractional Brownian motions of Riemann-Liouville type. We also provide two results on approximation to operator fractional Brownian motions of Riemann-Liouville type. The first approximation is based on a Poisson process, and the second one is based on a sequence of I.I.D. random variables.     

Combined effect of modified zeolite 13X and β-nucleating agent on improving β-crystal content and toughening polypropylene random copolymer

Although addition of β-NUCLEATING agent directly into homo-polypropylene(PPH) is a useful method to improve β-CRYSTAL content and toughen PPH, polypropylene random copolymer(PPR) makes this method powerless due to its random structure and low crystallinity. In this study, the-nucleated PPR with high β-CRYSTAL content was prepared by a novel high effective β-NUCLEATING system which consists of-nucleation agent(TMB-5) and modified zeolite 13X(M13X). It was found that M13X and TMB-5 had a synergistic influence on improving β-CRYSTAL content and toughening PPR. The content of β-CRYSTAL in PPR/M13X/TMB-5 was significantly larger than the sum of that in PPR/M13X and PPR/TMB-5. Besides,fracture behavior, phase morphology and relaxation of matrix chain segments were also investigated. The results showed that M13X and TMB-5 improved the mobility of amorphous chain segments at low temperature and contributed to much energy dissipation. This work provides a powerful method to modify PPR.     

一类非光滑Chua’s电路的同步控制

本文研究两个带x|x|非线性项的Chua’s电路的全局指数同步和全局同步的控制问题.证明这两个系统在未加控制时不可能同步,但设计不同的控制器可以实现这两个系统的全局指数同步和全局同步.     

基于TMS320DM6467的数字视频综合实验设计

随着网络视频应用的飞速发展,达芬奇技术作为一种新平台逐渐成为数字视频技术应用的发展方向.针对网络视频传输实时性要求高的特点,本文提出了基于达芬奇技术的数字视频综合实验设计方案,TMS320DM6467平台具有ARM+DSP双核处理器,能够提高系统性能,缩短开发周期;DSP内核视频数据编码算法选用H.264,大大提高了数据编码效率;ARM核负责控制视频采集以及实时传输通信,便于学生对数字视频应用前沿技术进行探索.