CONTROL STRATEGIES FOR A TUMOR-IMMUNE SYSTEM WITH IMPULSIVE DRUG DELIVERY UNDER A RANDOM ENVIRONMENT

作     者：黄明湛 刘守宗 宋新宇 邹秀芬 Mingzhan HUANG;Shouzong LIU;Xinyu SONG;Xiufen ZOU

作者机构：College of Mathematics and StatisticsXinyang Normal UniversityXinyang 464000China School of Mathematics and StatisticsComputational Science Hubei Key LaboratoryWuhan UniversityWuhan 430072China 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2022年第42卷第3期

页      面：1141-1159页

核心收录：

学科分类：02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学] 1002[医学-临床医学] 07[理学] 0714[理学-统计学（可授理学、经济学学位）] 100214[医学-肿瘤学] 070103[理学-概率论与数理统计] 0701[理学-数学] 10[医学] 

基　　金：supported by the National Natural Science Foundation of China(12071407,11901502) Training plan for young backbone teachers in Henan Province(2019GGJS157) Foundation of Henan Educational Committee under Contract(21A110022) Program for Science&Technology Innovation Talents in Universities of Henan Province(21HASTIT026) Scientific and Technological Key Projects of Henan Province(212102110025) Nanhu Scholars Program for Young Scholars of XYNU 

主　　题：Tumor-immune system chemotherapy stochastic impulsive model extinction persistence 

摘      要：This paper mainly studies the stochastic character of tumor growth in the presence of immune response and periodically pulsed ***,a stochastic impulsive model describing the interaction and competition among normal cells,tumor cells and immune cells under periodically pulsed chemotherapy is ***,sufficient conditions for the extinction,non-persistence in the mean,weak and strong persistence in the mean of tumor cells are ***,numerical simulations are performed which not only verify the theoretical results derived but also reveal some specific *** results show that the growth trend of tumor cells is significantly affected by the intensity of noise and the frequency and dose of drug *** clinical practice,doctors can reduce the randomness of the environment and increase the intensity of drug input to inhibit the proliferation and growth of tumor cells.