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.

题目：Dirichlet Problem of a Delayed Reaction-diffusion Equation on a Semin-infinite Interval报告人：Prof.Xingfu zou (Western Univeristy)时间： 5月30日（星期一）,上午10:00-11:00地点：致远楼102室邹幸福教授1993-1997年就读于加拿大约克大学并获博士学位，继而在加拿大维多利亚大学和美国乔治亚理工学院动力系统与非线性研究中心做博士后。1999.1-2004.1在加拿大纽芬兰纪念大学先后任助理教授和副教授(终身教职)，2...

题目： New Results on Mean Curvature Flow of Arbitrary Codimension报告人： 许洪伟 教授（浙江大学数学中心）时间：2016年5月27日（周五）下午4：00-5:00地点：致远楼105室欢迎广大师生参

This paper is concerned with a generalized Arzela-Ascoli's lemma which has been extensively applied in almost periodic problems by the continuation theorem of degree theory. We give a counterexample to show that this lemma is incorrect, and there is a gap in the proof of some existing literature,where the addressed generalized Arzela-Ascoli's lemma was used. Moreover, we make some final comments and introduce an open problem.

题目：Bifurcation Analysis of a Pair-approximation Epidemic Model on Adaptive Networks报告人：靳祯 教授 (山西大学)时间： 5月25日（星期三）,上午10:00-11:00地点：致远楼102室靳 祯，山西大学 教授。现任山西省数学会理事长，中国生物数学学会副理事长，《Plos One》等编委。曾获教育部新世纪优秀人才，山西省教学名师，全国优秀教师等荣誉，享受国务院政府特殊津贴，目前也是山西省科技创新团队,国家自然科学奖及国家...

The results in the field of Mathematical modeling and researches in within-host virus infection systems (micro) and diseases transmission systems among hosts (Macro) are very plentiful. Since it has very closed relations between the virus munber within a host and the ability of disease transmission of this host, it is of great significance and realistic meaning to formulate and to investigate coupled systems between immunological and epidemiological systems to reveal the mechanism of disease transmission. In this talk, what is the nested method and how to use this mehtod to formulate the immuno-epidemiological models, are introduced. A two-strain immuno-epidemiological model of HIV with superinfection is formulated.

To understand the spreading and interaction of prey and predator, in this talk we study the dynamics of the diffusive Lotka-Volterra type prey-predator model with different free boundaries. These two free boundaries, which may intersect each other as time evolves, are used to describe the spreading of prey and predator. We investigate the existence and uniqueness, regularity and uniform estimates, and long time behaviors of global solution. Some sufficient conditions for spreading and vanishing are established. When spreading occurs, we provide the more accurate limits of (u, v), and give some estimates of asymptotic spreading speeds of u, v and asymptotic speeds of g, h. Some realistic and significant spreading phenomena are found.