Stochastic Multi-Group Models with Dispersal Driven by G-Brownian Motion

Abstract

In this talk, I will introduce a class of stochastic multi-group models with dispersal driven by G-Brownian motion. The talk mainly include three topics. In the first part, I will give the stability analysis for stochastic multi-group models with dispersal driven by G-Brownian motion. In the second part, I will show the stabilization for stochastic multi-group models with dispersal by feedback control based on discrete-time observations in diffusion part. In the last part, I will establish the exponential synchronization for stochastic multi-group models with dispersal driven by G-Brownian motion. This work is joint with Huijing Yang, Kai Wang and Lanying Hu.