Stationary distribution and probability density function analysis of a stochastic HIV model with cell-to-cell infection
作者：
Highlights：
• A stochastic HIV model with cell-free and cell-to-cell infections is formulated.
• The positive and global solution of the model is rigorously verified.
• Existence of the unique ergodic stationary distribution of the system is studied.
• Probability density function is derived by applying asymptotic analysis.
• The effects of noise and cell-to-cell infection on model behavior are investigated.
摘要
•A stochastic HIV model with cell-free and cell-to-cell infections is formulated.•The positive and global solution of the model is rigorously verified.•Existence of the unique ergodic stationary distribution of the system is studied.•Probability density function is derived by applying asymptotic analysis.•The effects of noise and cell-to-cell infection on model behavior are investigated.
论文关键词：HIV infection model,Cell-to-cell infection,Stochastic differential equation,Stationary distribution,Fokker-Planck equation,Probability density function
论文评审过程：Received 30 March 2021, Revised 18 June 2021, Accepted 24 June 2021, Available online 11 July 2021, Version of Record 11 July 2021.
论文官网地址：https://doi.org/10.1016/j.amc.2021.126483
