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.

R. A. Brualdi is a professor emeritus of combinatorial mathematics at the University of Wisconsin–Madison. Brualdi received his Ph.D. from Syracuse University in 1964; his advisor was H. J. Ryser. Brualdi is an Editor-in-Chief of the Linear Algebra and its Applications and the Electronic Journal of Combinatorics. He has over 200 publications in several mathematical journals. According to current on-line database of Mathematics Genealogy Project, Richard Brualdi has 37 Ph.D. students and 48 academic descendants. The concept of incidence coloring was introduced in 1993 by Brualdi and Massey.

For every finite collection of closed curves on a surface, we introduce an associated norm on the homology of this surface. These norms are reminiscent of Thurston's norm on the homology of a 3-manifold and share many of its properties, but they are more elementary. In particular, the unit ball of the dual norm on the cohomology is the convex hull of finitely many explicit points. We give an interpretation of these points in terms of certain coorientations of the original curves. All of this is then used in order to classify up to isotopy surfaces with prescribed boundary in the unit tangent bundle that are transverse to the geodesic flow.

Brauer代数起源于正交群和辛群的Schur-Weyl对偶。Brauer代数能被看成一种付随于置换群的数学对象。本次报告中我们考虑如何对一般的Coxeter群以及拟反射群引进类似的代数，即广义Brauer代数。我们介绍给出这些代数的表现，并且在某些特殊情形给出它们的结构与表示的描述。这些广义Brauer代数的变形有望能给出许多新的拟反射群对应的复辫子群的表示，有助于回答这些复辫子群是否为线性群之类的问题

In this talk, we firstly present bifurcation analyses in predator-prey systems of Leslie type with generalized Holling type III functional response, and then introduce our recent works about bifurcation applications in predator-prey systems with harvesting.

酗酒是危害人类健康的危险行为之一，本报告考虑公共健康教育、Twitter和时滞的影响，建立三类酗酒动力学模型，给出了模型的基本再生数。同时研究了平衡点的局部和全局稳定性。进一步研究了前向，后向和Hopf分支以及最优控制问题。同时给出了数值模拟