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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