Transmission dynamics of symptom-dependent HIV/AIDS models

被引：2

作者：

Li W. ^{[1
]}

Cai S. ^{[2
]}

Zhai X. ^{[3
]}

Ou J. ^{[2
]}

Zheng K. ^{[2
]}

Wei F. ^{[1
,4
,5
]}

Mao X. ^{[6
]}

机构：

[1] School of Mathematics and Statistics, Fuzhou University, Fujian, Fuzhou

[2] Fujian Provincial Center for Disease Control and Prevention, Fuzhou

[3] School of Physical Science and Technology, ShanghaiTech University, Shanghai

[4] Center for Applied Mathematics of Fujian Province, Fuzhou University, Fujian, Fuzhou

[5] Key Laboratory of Operations Research and Control of Universities in Fujian, Fuzhou University, Fujian, Fuzhou

[6] Department of Mathematics and Statistics, University of Strathclyde, Glasgow

来源：

Mathematical Biosciences and Engineering | 2024年 / 21卷 / 02期

基金：

英国工程与自然科学研究理事会;

关键词：

extinction; HIV/AIDS; stability; stationary distribution; threshold;

D O I：

10.3934/mbe.2024079

中图分类号：

学科分类号：

摘要：

In this study, we proposed two, symptom-dependent, HIV/AIDS models to investigate the dynamical properties of HIV/AIDS in the Fujian Province. The basic reproduction number was obtained, and the local and global stabilities of the disease-free and endemic equilibrium points were verified to the deterministic HIV/AIDS model. Moreover, the indicators R0s and Re0 were derived for the stochastic HIV/AIDS model, and the conditions for stationary distribution and stochastic extinction were investigated. By using the surveillance data from the Fujian Provincial Center for Disease Control and Prevention, some numerical simulations and future predictions on the scale of HIV/AIDS infections in the Fujian Province were conducted. © 2024 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License.

引用

页码：1819 / 1843

页数：24

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