Transmission dynamics of symptom-dependent HIV/AIDS models

Li, Wenshuang and Cai, Shaojian and Zhai, Xuanpei and Qu, Jianming and Zheng, Kuicheng and Wei, Fengying and Mao, Xuerong (2024) Transmission dynamics of symptom-dependent HIV/AIDS models. Mathematical Biosciences and Engineering, 21 (2). pp. 1819-1843. ISSN 1551-0018 (https://doi.org/10.3934/mbe.2024079)

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Abstract

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 e 0 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.

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