遍历理论
独特性
人类免疫缺陷病毒(HIV)
平稳分布
消光(光学矿物学)
李雅普诺夫函数
数学
应用数学
医学
统计物理学
病毒学
纯数学
数学分析
生物
物理
统计
非线性系统
量子力学
马尔可夫链
古生物学
作者
Haiguang Yang,Xiaoyue Li,Weipeng Zhang
出处
期刊:Discrete and Continuous Dynamical Systems-series B
[American Institute of Mathematical Sciences]
日期:2024-01-01
卷期号:29 (2): 702-730
标识
DOI:10.3934/dcdsb.2023110
摘要
This paper proposes a stochastic HIV/HTLV-I co-infection model incorporating the AIDS-related cancer cells and investigates its dynamical behaviours. The main methods are stochastic Lyapunov analysis and the ergodic theory. The existence and uniqueness of the global positive solution is proved as well as the stochastic ultimate boundedness. A unique stationary distribution is yielded. Furthermore, the sufficient conditions for the extinction of diseases are given. Finally, some numerical simulations are carried out to support the theoretical results.
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