演讲人: Zhian Wang，Department of Applied Mathematics

讲座时间: 2014年12月16日，10:00-11:00am

讲座地点: 中国人民大学环境学院316房间

讲座内容:

Compared to the classical chemotaxis models with linear chemotactic sensitivity, logarithmic sensitivity has more specific applications in modeling biological processes such as the bacterial movement and onset of tumor angiogenesis. The typical patterns generated by the logarithmic sensitivity are traveling waves which were explicitly observed in the experiment. However the logarithmic sensitivity induces a singularity and hence brings a great challenge for mathematical analysis. In this talk, the recent progress of existence and stability of traveling waves of chemotaxis model with logarithmic sensitivity will be reported and some new insights and open questions will be discussed.