Transmission dynamics of symptom-dependent HIV/AIDS models-Reference-Cited by-同舟云学术

Transmission dynamics of symptom-dependent HIV/AIDS models

Published:2024 Issue:2 Volume:21 Page:1819-1843
ISSN:1551-0018
Container-title:Mathematical Biosciences and Engineering
language:
Short-container-title:MBE

Author:

Li Wenshuang¹,Cai Shaojian²,Zhai Xuanpei³,Ou Jianming²,Zheng Kuicheng²,Wei Fengying¹⁴⁵,Mao Xuerong⁶

Affiliation:

1. School of Mathematics and Statistics, Fuzhou University, Fuzhou 350116, Fujian, China

2. Fujian Provincial Center for Disease Control and Prevention, Fuzhou 350012, China

3. School of Physical Science and Technology, ShanghaiTech University, Shanghai 201210, China

4. Center for Applied Mathematics of Fujian Province, Fuzhou University, Fuzhou 350116, Fujian, China

5. Key Laboratory of Operations Research and Control of Universities in Fujian, Fuzhou University, Fuzhou 350116, Fujian, China

6. Department of Mathematics and Statistics, University of Strathclyde, Glasgow G1 1XH, UK

Abstract

<abstract><p>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 $ R_0^s $ and $ R_0^e $ 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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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