We study the traveling wave solutions of a diffusive SIR model with standard incidence. The existence of traveling waves is determined by the basic reproduction number of the corresponding ordinary differential equations and the minimal wave speed. Our proof is based on Schauder fixed point theorem and Laplace transform.

The widely applied non-invasive imaging techniques such as Magnetic Resonance Imaging (MRI), Computed Tomography (CT), and ultrasound (US) have offered tremendously exciting opportunities and challenges for statistical analysis. The data we encounter these days are not only increasing in size, but also in complexity. In this talk, I will introduce several emerging complex data objects including tree-structured data, functional data, and imaging data. The structures of the data objects often arise from the scientific problems and lie in non-Euclidean space. Traditional statistical tasks such as regression, classification and hypothesis testing thus become rather difficult. I will talk about recent methods for modeling the data object and the regression and prediction methods. Simulation studies have shown impressive improvement in disease diagnosis, prognostication, treatment monitoring, etc.

In this talk, several classes of Errors-correction codes are constructed based on special algebraic structures.

Part I will give the brief introduction to portfolio management problem, including importance of finance, financial bubbles, key factors of investment, theory and problems. Part II will deal with a multi-period portfolio management problem over a finite horizon. The objective is to seek the optimal investment policy series which maximizes the weighted sum of a linear combination of the expected return and the variance of portfolio over all the investment periods.

A coupled degenerate reaction-diffudion SIR model for the overall dynamics of the interaction between fox rabies is considered. The model helps to explain the epidemiological patterns observed in Europe, including 3 to 5 year cycle in fox populations infected with rabies. We provided some global analysis of the model, including the asymptotical behaviors due to Hopf bifurcation in the homogeneous model bescribed by a set of ordinary differential equations.

讨论时滞和非局部扩散作用对传播速度的影响。结果表明非局部作用可以导致加速传播，时滞可以减小加速度但不能使其消失

We will characterize minimal surfaces in the Heisenberg group by the harmonicity of the normal Gauss map, considered as a map from the surface to the hyperbolic spaceH2. This comes with a close relationship with constant mean curvature surfaces in Minkowski space R13. Using this relationship one can translate very directly the Bernstein solution of Tom Wan to the Heisenberg group.

In this talk, by adding two pseudo-observations to the original data set, I will talk about the asymptotic normality of the log empirical likelihood ratio statistic. In practise, I suggest to use the normalized F distribution to approximate the distribution of the log empirical likelihood ratio statistic. Simulation results show the excellent performance of this approximation.