汇报标题 (Title)：SDEs in population dynamics （人丁动态中的SDEs）
汇报人 (Speaker)：袁成桂 教授（英国Swansea大学）
汇报功夫 (Time)：2024年12月27日 (周五) 9:00
汇报地址 (Place)：校本部GJ303
约请人(Inviter)：阳芬芬
主办部门：理学院数学系
汇报提要：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.
