Threshold dynamics of a delayed nonlocal reaction-diffusion HIV infection model with both cell-free and cell-to-cell transmissions
From MaRDI portal
Publication:2310493
DOI10.1016/j.jmaa.2020.124047zbMath1439.37086OpenAlexW3010952028MaRDI QIDQ2310493
Publication date: 6 April 2020
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124047
Related Items (21)
Mathematical modeling of HIV/HTLV co-infection with CTL-mediated immunity ⋮ Global dynamics of an age-structured model for HIV viral dynamics with latently infected T cells ⋮ Global dynamics of an age-space structured HIV/AIDS model with viral load-dependent infection and conversion rates ⋮ Evolution dynamics of a time-delayed reaction-diffusion HIV latent infection model with two strains and periodic therapies ⋮ Global attractivity of a nonlocal reaction-diffusion viral infection model ⋮ Threshold dynamics of a nonlocal dispersal HIV/AIDS epidemic model with spatial heterogeneity and antiretroviral therapy ⋮ Analysis of a diffusive heroin epidemic model in a heterogeneous environment ⋮ Mathematical analysis of an age-since infection and diffusion HIV/AIDS model with treatment adherence and Dirichlet boundary condition ⋮ Stability of HIV/HTLV‐I co‐infection model with delays ⋮ Hybrid control of Turing instability and Hopf bifurcation in CDK1-APC feedback systems with diffusion ⋮ Dynamical analysis of secondary dengue viral infection with multiple target cells and diffusion by mathematical model ⋮ Global dynamics of a time-delayed nonlocal reaction-diffusion model of within-host viral infections ⋮ Dynamics and optimal control of a spatial diffusion HIV/AIDS model with antiretrovial therapy and pre‐exposure prophylaxis treatments ⋮ Stability of HTLV/HIV dual infection model with mitosis and latency ⋮ Global dynamics of HIV/HTLV-I co-infection with effective CTL-mediated immune response ⋮ Global dynamics of secondary DENV infection with diffusion ⋮ Stationary distribution and probability density function analysis of a stochastic HIV model with cell-to-cell infection ⋮ Dynamical analysis of a nonlocal delayed and diffusive HIV latent infection model with spatial heterogeneity ⋮ Global dynamics of a delayed diffusive virus infection model with cell-mediated immunity and cell-to-cell transmission ⋮ Analysis of an HTLV/HIV dual infection model with diffusion ⋮ Spatial and temporal dynamics of SARS-CoV-2: modeling, analysis and simulation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Asymptotic profiles of steady states for a diffusive SIS epidemic model with mass action infection mechanism
- Analysis of an age structured HIV infection model with virus-to-cell infection and cell-to-cell transmission
- Varying total population enhances disease persistence: qualitative analysis on a diffusive SIS epidemic model
- Repulsion effect on superinfecting virions by infected cells
- Global dynamics for a class of age-infection HIV models with nonlinear infection rate
- Global stability of an HIV-1 infection model with saturation infection and intracellular delay
- Impact of intracellular delay, immune activation delay and nonlinear incidence on viral dynamics
- A reaction-diffusion malaria model with incubation period in the vector population
- Threshold dynamics of an infective disease model with a fixed latent period and non-local infections
- Global dynamics of a delayed within-host viral infection model with both virus-to-cell and cell-to-cell transmissions
- Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model
- Asymptotic profiles of the positive steady state for an SIS epidemic reaction-diffusion model. I
- Global properties for virus dynamics model with Beddington-DeAngelis functional response
- Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations
- Analysis on a diffusive SIS epidemic model with logistic source
- An SIS epidemic reaction-diffusion model with spontaneous infection in a spatially heterogeneous environment
- 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 reaction-diffusion within-host HIV model with cell-to-cell transmission
- An age-structured model of HIV infection that allows for variations in the production rate of viral particles and the death rate of productively infected cells
- Theory and applications of partial functional differential equations
- Robust persistence for semidynamical systems.
- Dynamics of a diffusive virus model with general incidence function, cell-to-cell transmission and time delay
- Drug therapy model with time delays for HIV infection with virus-to-cell and cell-to-cell transmissions
- Asymptotic profile of the positive steady state for an SIS epidemic reaction-diffusion model: effects of epidemic risk and population movement
- Asymptotic properties of a HIV-1 infection model with time delay
- Lyapunov Functions and Global Stability for Age-Structured HIV Infection Model
- GLOBAL STABILITY OF THE VIRAL DYNAMICS WITH CROWLEY-MARTIN FUNCTIONAL RESPONSE
- Modeling HIV-1 Virus Dynamics with Both Virus-to-Cell Infection and Cell-to-Cell Transmission
- Abstract Functional Differential Equations and Reaction-Diffusion Systems
- Mathematical Analysis of HIV-1 Dynamics in Vivo
- Bifurcation Analysis of an Age Structured HIV Infection Model with Both Virus-to-Cell and Cell-to-Cell Transmissions
- Basic Reproduction Numbers for Reaction-Diffusion Epidemic Models
- Spectral Bound and Reproduction Number for Infinite-Dimensional Population Structure and Time Heterogeneity
- Spatial Structures and Periodic Travelling Waves in an Integro-Differential Reaction-Diffusion Population Model
- Dynamics of an HIV‐1 virus model with both virus‐to‐cell and cell‐to‐cell transmissions, general incidence rate, intracellular delay, and CTL immune responses
- Mathematical Analysis of Age‐Structured HIV‐1 Dynamics with Combination Antiretroviral Therapy
- Global Attractors and Steady States for Uniformly Persistent Dynamical Systems
- Global stability of the virus dynamics model with Crowley-Martin functional response
- A non-local delayed and diffusive predator-prey model.
This page was built for publication: Threshold dynamics of a delayed nonlocal reaction-diffusion HIV infection model with both cell-free and cell-to-cell transmissions