DYNAMICAL BEHAVIORS OF A TUMOR-IMMUNE-VITAMIN MODEL WITH RANDOM PERTURBATION

被引：2

作者：

Liu, Weili ^{[1
]}

Zhang, Hongpeng ^{[1
]}

Zhang, Weipeng ^{[1
]}

Sun, Xuenan ^{[1
]}

机构：

[1] Northeast Normal Univ, Sch Math & Stat, 5268 Renmin St, Changchun 130024, Jilin, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2023年 / 13卷 / 05期

关键词：

Tumor-immune-vitamin model; stochastic process; extinction; persistence; stationary distribution; ASYMPTOTIC-BEHAVIOR; MATHEMATICAL-MODEL; SYSTEM; PERMANENCE; GROWTH; IMMUNOTHERAPY; EXTINCTION;

D O I：

10.11948/20220558

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper mainly explores the stochastic behaviors of the interac-tion between tumor cells and immune cells when vitamins are added. First, it is shown that the stochastic tumor-immune-vitamin model has a unique global positive solution. Second, we obtain that the solution of our model is stochas-tically ultimately bounded, stochastically permanent, extinct and persistent in mean under some threshold conditions. Moreover, when the perturbation is weak, the stochastic model has a unique stationary distribution. Finally, numerical simulations are performed to verify the theoretical results.

引用

页码：2739 / 2766

页数：28

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