Speaker: Zhao Xiaoqiang, Professor, Department of Mathematics and Statistics, Memorial University of Newfoundland, Canada

Date: Nov. 17, 2021

Time: 20:00-21:30

Location: Tencent Meeting, ID:920 179 773

Sponsor: School of Mathematics, Shandong University

Abstract:

The basic reproduction number (or ratio) R0 is an important concept in population biology. As a threshold quantity for population dynamics, it is unquestionably one of the most valuable mathematical ideas brought to theoretical ecology and epidemiology. In this talk, I first review the definition, stability equivalence, numerical computation of R0 for reaction-diffusion systems with compartmental structure. Then I introduce a spatial model of Zika virus transmission with seasonality and establish a threshold type result on the global stability in terms of R0. Finally, I present numerical simulations for the Zika transmission in Rio de Janeiro Municipality, Brazil and briefly discuss the effects of some model parameters on R0.

For more information, please visit:

https://www.view.sdu.edu.cn/info/1020/158980.htm