报告题目 (Title)：SDEs in population dynamics (人口动态中的SDEs)
报告人 (Speaker)：Chenggui Yuan袁成桂（英国Swansea大学）
报告时间 (Time)：2024年12月27日 (周五) ：9:00
报告地点 (Place)：校本部GJ303
邀请人(Inviter)：阳芬芬
报告摘要：This talk focuses on dynamical behaviors of a class of stochastic tumor-immune models in random environment modulated by Markov chains. A sufficient and nearly necessary threshold-type criterion is investigated, which shows the long-time behavior of the system can be classified by a real-value parameter 
. To precise, if 
, tumor cells will die out. If 
, the system exists a unique invariant probability measure, and the transition probability of the solution process converges to this invariant measure under some conditions. Moreover, we also estimate the expectations with respect to the invariant measure. Some examples are provided to illustrate our results.