Title: Dynamics and Asymptotic Profiles of Steady States of an Epidemic Model in Advective Environments
Reporter: CUI Renhao (harbin normal university)
Time: October 12, 2018 (Friday) AM 10:30-11:30
Location: A1101# room, Innovation Park Building
Contact: DAI Guowei (tel:84708351-8135)
Abstract: We study the dynamics of a SIS epidemic model of reaction–diffusion–advection type. We further consider the effects of diffusion and advection on asymptotic profiles of endemic equilibrium:When the advection rate is relatively large comparing to the diffusion rates of both populations, then two populations persist and concentrate at the downstream end. As the diffusion rate of the susceptible population tends to zero, the density of the infected population decays exponentially for positive advection rate but linearly when there is no advection. Our results suggest that advection can help speed up the elimination of disease. This is a joint work with Prof. King-Yeung Lam and Yuan Lou.
The brief introduction to the reporter: Professor Cui is mainly engaged in the study of partial differential equations and their applications. He has made some progress in the study of the dynamic behavior of reaction-diffusion systems in heterogeneous space. He has published many papers in J. Differential Equations and other academic journals. He has presided over the youth projects of the National Natural Science Foundation, the National Postdoctoral Fund and the Natural Science Foundation of Heilongjiang Province. As the main performer, he won the second prize of Heilongjiang Science and Technology (Natural Science) and the 2th Outstanding Youth Academic Award of Heilongjiang Mathematics Association in 2018.