Analysis of a diffusive virus infection model with humoral immunity, cell-to-cell transmission and nonlinear incidence
From MaRDI portal
Publication:2164098
DOI10.1016/j.physa.2019.122415OpenAlexW2968659070MaRDI QIDQ2164098
Long Zhang, Yantao Luo, Ting-Ting Zheng, Zhi-Dong Teng
Publication date: 12 August 2022
Published in: Physica A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physa.2019.122415
global stabilityreaction-diffusionuniform persistencecell-to-cell transmissionhumoral immunityvirus infection model
Related Items (13)
Dynamics in a reaction-diffusion epidemic model via environmental driven infection in heterogenous space ⋮ Analysis of a Reaction-Diffusion SIR Epidemic Model with Noncompliant Behavior ⋮ Global dynamics of a diffusive SEICR HCV model with nonlinear incidences ⋮ Dynamical analysis for a diffusive SVEIR epidemic model with nonlinear incidences ⋮ Spatial dynamics of a viral infection model with immune response and nonlinear incidence ⋮ Traveling waves for a diffusive virus infection model with humoral immunity, cell‐to‐cell transmission, and nonlinear incidence ⋮ Novel stochastic dynamics of a fractal-fractional immune effector response to viral infection via latently infectious tissues ⋮ Spatial dynamic analysis for COVID-19 epidemic model with diffusion and Beddington-DeAngelis type incidence ⋮ Spatial dynamics and optimization method for a network propagation model in a shifting environment ⋮ Dynamical analysis of a reaction–diffusion SEI epidemic model with nonlinear incidence rate ⋮ A theoretical approach to understanding rumor propagation dynamics in a spatially heterogeneous environment ⋮ Dynamics of a reaction-diffusion SIRS model with general incidence rate in a heterogeneous environment ⋮ Analysis of an HTLV/HIV dual infection model with diffusion
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Mathematical analysis of an in-host model of viral dynamics with spatial heterogeneity
- Repulsion effect on superinfecting virions by infected cells for virus infection dynamic model with absorption effect and chemotaxis
- Viral dynamics model with CTL immune response incorporating antiretroviral therapy
- A model of HIV-1 infection with two time delays: mathematical analysis and comparison with patient data
- Global stability of in-host viral models with humoral immunity and intracellular delays
- Global analysis for delay virus dynamics model with Beddington-DeAngelis functional response
- A reaction-diffusion malaria model with incubation period in the vector population
- Dynamical analysis of a delayed reaction-diffusion virus infection model with logistic growth and humoral immune impairment
- Dynamics of a PDE viral infection model incorporating cell-to-cell transmission
- Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations
- Introduction to functional differential equations
- A reaction-diffusion within-host HIV model with cell-to-cell transmission
- Theory and applications of partial functional differential equations
- Global stability of a diffusive and delayed virus infection model with general incidence function and adaptive immune response
- Stability and Hopf bifurcation for a virus infection model with delayed humoral immunity response
- Dynamics analysis of a Zika-dengue co-infection model with dengue vaccine and antibody-dependent enhancement
- Transmission dynamics of Zika virus with spatial structure -- a case study in Rio de Janeiro, Brazil
- Viral dynamic model with cellular immune response: a case study of HIV-1 infected humanized mice
- Pattern formation in a reaction-diffusion parasite-host model
- Global dynamics of a reaction-diffusion virus infection model with humoral immunity and nonlinear incidence
- Threshold dynamics of HCV model with cell-to-cell transmission and a non-cytolytic cure in the presence of humoral immunity
- Divergence theorems and the supersphere
- Abstract Functional Differential Equations and Reaction-Diffusion Systems
- Basic Reproduction Numbers for Reaction-Diffusion Epidemic Models
- Dynamical systems in population biology
This page was built for publication: Analysis of a diffusive virus infection model with humoral immunity, cell-to-cell transmission and nonlinear incidence
