Transmission dynamics of symptom-dependent HIV/AIDS models

Wenshuang Li, Shaojian Cai, Xuanpei Zhai, Jianming Qu, Kuicheng Zheng, Fengying Wei, Xuerong Mao

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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.

Original languageEnglish
Pages (from-to)1819-1843
Number of pages25
JournalMathematical Biosciences and Engineering
Issue number2
Publication statusPublished - 3 Jan 2024


  • threshold
  • stability
  • stationary distribution
  • extinction


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