Threshold dynamics of an HIV-1 model with both viral and cellular infections, cell-mediated and humoral immune responses
From MaRDI portal
Publication:2160570
DOI10.3934/mbe.2019015zbMath1497.92058OpenAlexW2903835287WikidataQ91183838 ScholiaQ91183838MaRDI QIDQ2160570
Xiaohong Tian, Rui Xu, Jiazhe Lin
Publication date: 3 August 2022
Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/mbe.2019015
threshold dynamicsHIV-1 infectioncell-to-cell transmissionvirus-to-cell infectionhumoral immunitycell-mediated immunity
Related Items (9)
Stability and dynamic of HIV-1 mathematical model with logistic target cell growth, treatment rate, cure rate and cell-to-cell spread ⋮ Global stability of discrete pathogen infection model with humoral immunity and cell-to-cell transmission ⋮ Stability of a general adaptive immunity HIV infection model with silent infected cell-to-cell spread ⋮ Dynamics of an HIV infection model with virus diffusion and latently infected cell activation ⋮ Optimal control of an HIV infection model with logistic growth, celluar and homural immune response, cure rate and cell-to-cell spread ⋮ Dynamic analysis of HIV model with a general incidence, CTLs immune response and intracellular delays ⋮ Stability of an adaptive immunity delayed HIV infection model with active and silent cell-to-cell spread ⋮ Viral dynamics of a latent HIV infection model with Beddington-DeAngelis incidence function, B-cell immune response and multiple delays ⋮ Viral dynamics of HIV-1 with CTL immune response
Cites Work
- Global threshold dynamics in a five-dimensional virus model with cell-mediated, humoral immune responses and distributed delays
- Global stability for an HIV-1 infection model with Beddington-DeAngelis incidence rate and CTL immune response
- Global stability of in-host viral models with humoral immunity and intracellular delays
- Analysis of an HIV infection model with logistic target-cell growth and cell-to-cell transmission
- Global dynamics of a cell mediated immunity in viral infection models with distributed delays
- Global stability of an HIV-1 infection model with saturation infection and intracellular delay
- Global stability of a five-dimensional model with immune responses and delay
- Dynamics of a HIV-1 infection model with cell-mediated immune response and intracellular delay
- Global stability of humoral immunity virus dynamics models with nonlinear infection rate and removal
- Introduction to functional differential equations
- Threshold dynamics of HIV-1 virus model with cell-to-cell transmission, cell-mediated immune responses and distributed delay
- Global dynamics for an age-structured HIV virus infection model with cellular infection and antiretroviral therapy
- Threshold dynamics of an HIV-1 virus model with both virus-to-cell and cell-to-cell transmissions, intracellular delay, and humoral immunity
- A methodology for performing global uncertainty and sensitivity analysis in systems biology
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- Stability and Hopf bifurcation for a virus infection model with delayed humoral immunity response
- Global stability analysis for delayed virus infection model with general incidence rate and humoral immunity
- Stability analysis of pathogen-immune interaction dynamics
- Modeling cell-to-cell spread of HIV-1 with logistic target cell growth
- Global properties of a discrete viral infection model with general incidence rate
- Global Stability of a Nonlinear Viral Infection Model with Infinitely Distributed Intracellular Delays and CTL Immune Responses
- Modeling HIV-1 Virus Dynamics with Both Virus-to-Cell Infection and Cell-to-Cell Transmission
- Stability of HIV-1 infection with saturated virus-target and infected-target incidences and CTL immune response
- Lyapunov Functionals for Delay Differential Equations Model of Viral Infections
This page was built for publication: Threshold dynamics of an HIV-1 model with both viral and cellular infections, cell-mediated and humoral immune responses