期刊
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
卷 27, 期 6, 页码 3177-3211出版社
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/dcdsb.2021181
关键词
Stochastic HIV; AIDS model; treatment; regime switching; stationary distribution; extinction
资金
- National Natural Science Foundation of China [11871473]
- Natural Science Foundation of Shandong Province [ZR2019MA010]
This paper focuses on the spread dynamics of an HIV/AIDS model with multiple stages of infection and treatment, disturbed by white noise and telegraph noise, and governed by Markov chain for switching between different environmental states. It proves the existence and uniqueness of the global positive solution, investigates the existence of a unique ergodic stationary distribution, and derives sufficient conditions for disease extinction. The conditions for the existence of stationary distribution improve and generalize previous results, and numerical examples are provided to illustrate the theoretical findings.
This paper focuses on the spread dynamics of an HIV/AIDS model with multiple stages of infection and treatment, which is disturbed by both white noise and telegraph noise. Switching between different environmental states is governed by Markov chain. Firstly, we prove the existence and uniqueness of the global positive solution. Then we investigate the existence of a unique ergodic stationary distribution by constructing suitable Lyapunov functions with regime switching. Furthermore, sufficient conditions for extinction of the disease are derived. The conditions presented for the existence of stationary distribution improve and generalize the previous results. Finally, numerical examples are given to illustrate our theoretical results.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据