Spatiotemporal dynamics for a diffusive HIV-1 infection model with distributed delays and CTL immune response
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Publication:2125204
DOI10.3934/dcdsb.2021159zbMath1486.92044OpenAlexW3175213543MaRDI QIDQ2125204
Ronghua Tan, Zhijun Liu, Lianwen Wang
Publication date: 13 April 2022
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2021159
global stabilityLyapunov functionaldistributed delayslatently infected cellsdiffusive viral modelnonlinear CTL response
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Stability theory of functional-differential equations (34K20) Global stability of solutions to ordinary differential equations (34D23) Pathology, pathophysiology (92C32)
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Cites Work
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- Global stability for an \textit{SEI} model of infectious disease with immigration
- HIV evolution and progression of the infection to AIDS
- Global stability for reaction-diffusion equations in biology
- A model of HIV-1 infection with two time delays: mathematical analysis and comparison with patient data
- Complete classification of global dynamics of a virus model with immune responses
- A delayed HIV-1 model with virus waning term
- Spatial models of virus-immune dynamics
- Global dynamics of a diffusive viral infection model with general incidence function and distributed delays
- Global stability of a delayed viral infection model with nonlinear immune response and general incidence rate
- Global stability of a diffusive virus dynamics model with general incidence function and time delay
- Bifurcation analysis of HIV-1 infection model with cell-to-cell transmission and immune response delay
- Asymmetric division of activated latently infected cells may explain the decay kinetics of the HIV-1 latent reservoir and intermittent viral blips
- Geometric theory of semilinear parabolic equations
- Semilinear functional differential equations in Banach space
- Influence of delayed viral production on viral dynamics in HIV-1 infected patients
- Modeling HIV persistence, the latent reservoir, and viral blips
- Dynamics of virus infection models with density-dependent diffusion
- Threshold dynamics of HIV-1 virus model with cell-to-cell transmission, cell-mediated immune responses and distributed delay
- A reaction-diffusion within-host HIV model with cell-to-cell transmission
- Global dynamics of a latent HIV infection model with general incidence function and multiple delays
- Dynamics of HIV infection of CD4\(^ +\) T cells
- Theory and applications of partial functional differential equations
- Global threshold dynamics in an HIV virus model with nonlinear infection rate and distributed invasion and production delays
- A model of HIV-1 pathogenesis that includes an intracellular delay
- Global stability of a diffusive and delayed virus infection model with general incidence function and adaptive immune response
- Global dynamics of a diffusive and delayed viral infection model with cellular infection and nonlinear infection rate
- Global dynamics of a reaction-diffusion virus infection model with humoral immunity and nonlinear incidence
- Dynamics of a diffusive virus model with general incidence function, cell-to-cell transmission and time delay
- A mathematical model of HTLV-I infection with two time delays
- Propagation of HBV with spatial dependence
- Estimating kinetic parameters from HIV primary infection data through the eyes of three different mathematical models
- Global dynamics of a delay virus model with recruitment and saturation effects of immune responses
- Global Stability of a Nonlinear Viral Infection Model with Infinitely Distributed Intracellular Delays and CTL Immune Responses
- Abstract Functional Differential Equations and Reaction-Diffusion Systems
- Mathematical analysis of an HIV latent infection model including both virus-to-cell infection and cell-to-cell transmission
- Impact of delays in cell infection and virus production on HIV-1 dynamics
- Existence and Stability for Partial Functional Differential Equations
- Mathematical Analysis of HIV-1 Dynamics in Vivo
- Immune Responses and Viral Phenotype: Do Replication Rate and Cytopathogenicity Influence Virus Load?
- A Delayed Virus Infection Model with Cell-to-Cell Transmission and CTL Immune Response
- Global dynamics of a class of HIV-1 infection models with latently infected cells