Dynamics of an HIV/AIDS transmission model with protection awareness and fluctuations
Zhai, Xuanpei and Li, Wenshuang and Wei, Fengying and Mao, Xuerong (2023) Dynamics of an HIV/AIDS transmission model with protection awareness and fluctuations. Chaos, Solitons and Fractals, 169. 113224. ISSN 0960-0779 (https://doi.org/10.1016/j.chaos.2023.113224)
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Abstract
We establish a stochastic HIV/AIDS model involving the susceptible with protection awareness within a total population. The mechanism of dynamic behaviors of the stochastic HIV/AIDS model with protection awareness are investigated in order to control the spread of HIV/AIDS. We firstly show that the stochastic model admits a global positive solution with any initial positive values. By constructing Lyapunov functions, the ergodic stationary distribution under the condition , and the extinction under the condition for the stochastic model are further obtained respectively. Moreover, by using positive preserving truncated Euler–Maruyama method (PPTEM), the related numerical simulations are performed, which demonstrate the quantitative properties of persistence and extinction of the solution. Precisely, the increasing of protection efficiency of the susceptible with protection awareness reduces the scale of the infected individuals with AIDS; and the continuous antiretroviral therapy (ART) also benefits the control of the scale of the infected individuals with HIV/AIDS; the media reports with more instructions and details such as taking post-exposure prophylaxis (PEP) within 72 h to help the individuals avoid the infection to meet the 90%–90%–90% plan of WHO.
ORCID iDs
Zhai, Xuanpei, Li, Wenshuang, Wei, Fengying and Mao, Xuerong ORCID: https://orcid.org/0000-0002-6768-9864;-
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Item type: Article ID code: 84256 Dates: DateEvent30 April 2023Published10 February 2023Published Online1 February 2023AcceptedSubjects: Science > Mathematics
Science > Microbiology > VirologyDepartment: Faculty of Science > Mathematics and Statistics Depositing user: Pure Administrator Date deposited: 16 Feb 2023 15:18 Last modified: 24 Nov 2024 12:59 URI: https://strathprints.strath.ac.uk/id/eprint/84256