1. Title: Pulsating Waves in Dissipative Medium with Delta Sources on a Periodic Lattice

Abstract: In this lecture, we talk about a dissipative heat equation with Delta sources of non-linear strength located on a periodic lattice. The model arises from intracellular waves in continuum excitable media with discrete release sites. The existence,  uniqueness, and global exponential stability of pulsating waves are established. Also a new technique is introduced to find the fine structure of the tails of pulsating waves. It`s a joint work with Xing Liang and Je-Chiang Tsai.

Speaker: Prof. Xinfu Chen (陈新富), University of Pittsburgh,USA

Time: 3:30-4:30

2. Title: The existence and stability analysis of steady states for SKT competition model with double cross-diffusion

Abstract: In this talk we shall focuses on the SKT biological competition model  with double cross diffusion terms and the related limiting systems when one of the cross-diffusion parameter tends to infinity. We shall talk about our recent work on the existence, detailed asymptotic structure and stability/instability of several types of nontrivial positive steady states for the SKT biological competition model  when one of the cross diffusion parameter  is large enough and the other is bounded.  The talk is based on the joint work with Qian Xu, Qing Li and Zhibao Tang.

Speaker:  Prof. Yaping Wu （吴雅萍），首都师范大学

Time: 4:30-5:30