Speaker: Yaozhong Hu, professor, University of Alberta

Date: July 15, 2024

Time: 20:00-21:00

Location: Tencent Meeting: 431 977 414

Sponsor: School of Mathematics, Shandong University

Abstract:

In this talk, I will present an explicit-implicit method to numerically solve the Susceptible-Infected-Recovered (SIR) model driven by Brownian motion. It is known that the components of solution of this system are positive and the sum is given by a known (random) quantity. Our scheme preserves the positivity and sums to a known random process property. The idea is to introduce a transformation to transform the SIR model into a differential system without the diffusion item. Then we apply an implicit numerical method to the newly obtained differential equation and show that the convergence order of our scheme is 1.0. The inverse transform will yield the convergence order1.0 for the original SIR model. We confirm numerically our theoretical result by showing an example.

For more information, please visit:

https://www.view.sdu.edu.cn/info/1020/193609.htm