»ã±¨±êÌâ (Title)£ºSDEs in population dynamics £¨È˶¡¶¯Ì¬ÖеÄSDEs£©

»ã±¨ÈË (Speaker)£ºÔ¬³É¹ð ½ÌÊÚ£¨Ó¢¹úSwansea´óѧ£©

»ã±¨¹¦·ò (Time)£º2024Äê12ÔÂ27ÈÕ (ÖÜÎå) 9:00

»ã±¨µØÖ· (Place)£ºÐ£±¾²¿GJ303

Ô¼ÇëÈË(Inviter)£ºÑô·Ò·Ò

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»ã±¨ÌáÒª£ºThis 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.