Asymptotic behaviors of stochastic epidemic models with jump-diffusion
Speaker: Nguyen Thanh Dieu

Time: 9h00, Thursday, March 14, 2019
Location: Rom 302, Building A5, Institute of Mathematics

Abstract: In this talk, we focus on asymptotic behavior of a stochastic SIR epidemic model represented by a system of stochastic differential equations perturbed by white noise, and Levy jump. We construct a threshold value between the permanence and extinction and develops ergodicity of the underlying system. It is shown that the transition probabilities converge in total variation norm to the invariant measure.