Dynamic analysis of a stochastic HIV model featuring memory cell activation and the log–normal Ornstein–Uhlenbeck process

Baozhou Gao

doi:10.1016/j.cnsns.2026.110496

Dynamic analysis of a stochastic HIV model featuring memory cell activation and the log–normal Ornstein–Uhlenbeck process

2026-07-01

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Baozhou Gao

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Yantao Luo *

Z

Zhidong Teng

DOI：10.1016/j.cnsns.2026.110496

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• A stochastic HIV model featuring memory cell activation and the log–normal Ornstein–Uhlenbeck process. • The local asymptotic stability of the endemic equilibrium is established via a matrix-analytic approach, rather than the traditional Routh–Hurwitz criterion. • The stationary distribution and disease extinction conditions of the stochastic system are derived. • Explicit expressions for the probability density function and the six-dimensional covariance matrix are obtained. • Numerical simulations are performed with both empirical and simulated data.

Dynamic analysis of a stochastic HIV model featuring memory cell activation and the log–normal Ornstein–Uhlenbeck process

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