报告题目: Traveling Waves for a Class of Diffusive Disease-Transmission Models with Network Structures.
报告人: King-Yeung Lam ，Ohio State Univesity
时间：2018年6月19日下午2:10―3:10
地点：管研楼1418教室
摘要: In this paper,the necessary and sufficient conditions for the existence of traveling wave solutions are derived for a class of diffusive disease-transmission models with network structures.The existence of traveling semi-fronts is obtained by Schauder's fixed-point theorem and these traveling semi- fronts are shown to be bounded by transforming the boundedness problem into the classification problem of non-negative solutions to a linear elliptic system on /mathbb/{R/}. To overcome the reducibility problem arising in the proofs, a Harnack's inequality for positive supersolutions on /mathbb/{R/} is proved.This is a joint work with Xueying Wang and Tianran Zhang.
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