Dynamic behavior of a general stochastic HIV model with virus-to-cell infection, cell-to-cell transmission, immune response and distributed delays
From MaRDI portal
Publication:6052957
DOI10.1007/s00332-023-09955-5OpenAlexW4386011902MaRDI QIDQ6052957
Daqing Jiang, Yan Wang, Minmin Lu
Publication date: 25 September 2023
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00332-023-09955-5
stochastic differential equationdistributed delayimmune responsecell-to-cell transmissionstationary Markov process
Epidemiology (92D30) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stability theory for random and stochastic dynamical systems (37H30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stability analysis in delayed within-host viral dynamics with both viral and cellular infections
- Viral dynamics model with CTL immune response incorporating antiretroviral therapy
- Survival and stationary distribution analysis of a stochastic competitive model of three species in a polluted environment
- Global dynamics of a delayed within-host viral infection model with both virus-to-cell and cell-to-cell transmissions
- Bifurcation analysis of HIV-1 infection model with cell-to-cell transmission and immune response delay
- Stochastic epidemic models: a survey
- Influence of delayed viral production on viral dynamics in HIV-1 infected patients
- A delay-differential equation model of HIV infection of \(\text{CD}4^+\) T-cells
- Impacts of the cell-free and cell-to-cell infection modes on viral dynamics
- Threshold dynamics of HIV-1 virus model with cell-to-cell transmission, cell-mediated immune responses and distributed delay
- Environmental Brownian noise suppresses explosions in population dynamics.
- Virus dynamics in the presence of synaptic transmission
- A model of HIV-1 pathogenesis that includes an intracellular delay
- The fluctuation impact of human mobility on the influenza transmission
- Analysis of a stochastic HIV-1 infection model with degenerate diffusion
- Viral dynamics of an HIV stochastic model with cell-to-cell infection, CTL immune response and distributed delays
- A stochastic delay model of HIV pathogenesis with reactivation of latent reservoirs
- Analysis of an HIV model with immune responses and cell-to-cell transmission
- Stationary distribution and extinction of a stochastic HIV-1 infection model with distributed delay and logistic growth
- Stationary distribution of an HIV model with general nonlinear incidence rate and stochastic perturbations
- Drug therapy model with time delays for HIV infection with virus-to-cell and cell-to-cell transmissions
- Environmental variability in a stochastic epidemic model
- A stochastic model for internal HIV dynamics
- The impact of hospital resources and environmental perturbations to the dynamics of SIRS model
- Mathematical modeling, analysis and numerical simulation of HIV: the influence of stochastic environmental fluctuations on dynamics
- An HIV stochastic model with cell-to-cell infection, B-cell immune response and distributed delay
- Viral dynamics with immune responses: effects of distributed delays and Filippov antiretroviral therapy
- An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
- Modeling HIV-1 Virus Dynamics with Both Virus-to-Cell Infection and Cell-to-Cell Transmission
- Mathematical Analysis of HIV-1 Dynamics in Vivo
- Analysis of a stochastic HIV model with cell-to-cell transmission and Ornstein–Uhlenbeck process
