An HBV model with diffusion and time delay
From MaRDI portal
Publication:1617624
DOI10.1016/j.jtbi.2009.01.001zbMath1400.92560OpenAlexW2146909973WikidataQ51853753 ScholiaQ51853753MaRDI QIDQ1617624
Publication date: 8 November 2018
Published in: Journal of Theoretical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jtbi.2009.01.001
Epidemiology (92D30) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Global stability of solutions to ordinary differential equations (34D23)
Related Items (86)
Global stability of a discrete virus dynamics model with diffusion and general infection function ⋮ New numerical simulations for some real world problems with Atangana-Baleanu fractional derivative ⋮ Stability and bifurcation analysis in a viral infection model with delays ⋮ Global dynamics of a diffusive viral infection model with general incidence function and distributed delays ⋮ Almost periodic dynamics in a new class of impulsive reaction-diffusion neural networks with fractional-like derivatives ⋮ Traveling waves of a diffusive epidemic model with nonlinear infection forces ⋮ Global stability and a non-standard finite difference scheme for a diffusion driven HBV model with capsids ⋮ Global dynamics of a general diffusive HBV infection model with capsids and adaptive immune response ⋮ Stability of a discrete-time general delayed viral model with antibody and cell-mediated immune responses ⋮ Global stability for reaction-diffusion equations in biology ⋮ Repulsion effect on superinfecting virions by infected cells for virus infection dynamic model with absorption effect and chemotaxis ⋮ Dynamics of a diffusive age-structured HBV model with saturating incidence ⋮ Spatiotemporal dynamics of a delayed viral infection model with two modes of transmission and immune impairment ⋮ Bifurcation analysis in a prey-predator model with nonlinear predator harvesting ⋮ On a predator prey model with nonlinear harvesting and distributed delay ⋮ Stability of a general HIV-1 reaction-diffusion model with multiple delays and immune response ⋮ A fractional order model for hepatitis B virus with treatment via Atangana-Baleanu derivative ⋮ Periodic solutions in an epidemic model with diffusion and delay ⋮ Dynamics of virus infection models with density-dependent diffusion ⋮ Consistent discrete global dynamics of a general initial boundary value problem for hepatitis B virus infection with capsids and adaptive immunity ⋮ Global dynamics of a spatial heterogeneous viral infection model with intracellular delay and nonlocal diffusion ⋮ A non-standard finite difference method for a hepatitis B virus infection model with spatial diffusion ⋮ Complex dynamics of a reaction-diffusion epidemic model ⋮ Mathematical analysis of the role of HIV/HBV latency in hepatocytes ⋮ Dynamics of a diffusion-driven HBV infection model with capsids and time delay ⋮ Dynamics of a nonlocal viral infection model with spatial heterogeneity and general incidence ⋮ On stability of two degenerate reaction-diffusion systems ⋮ Global stability of a diffusive virus dynamics model with general incidence function and time delay ⋮ Hepatitis C virus infection is blocked by HMGB1: a new nonlocal and time-delayed reaction-diffusion model ⋮ Dynamical analysis of a reaction-diffusion phytoplankton-zooplankton system with delay ⋮ Unnamed Item ⋮ Stability analysis of a reaction-diffusion heroin epidemic model ⋮ Global properties for an age-structured within-host model with Crowley–Martin functional response ⋮ Global dynamics of a reaction-diffusion virus infection model with humoral immunity and nonlinear incidence ⋮ A class of diffusive delayed viral infection models with general incidence function and cellular proliferation ⋮ Dynamics of a diffusive virus model with general incidence function, cell-to-cell transmission and time delay ⋮ Asymptotical profiles of a viral infection model with multi-target cells and spatial diffusion ⋮ Stability of a reaction-diffusion alcohol model with the impact of tax policy ⋮ Mathematical modeling of viral infection dynamics in spherical organs ⋮ Block effect on HCV infection by HMGB1 released from virus-infected cells: an insight from mathematical modeling ⋮ Analysis of a HBV model with diffusion and time delay ⋮ Global stability of a diffusive and delayed virus dynamics model with Crowley-Martin incidence function and CTL immune response ⋮ Hepatitis B virus dynamics: modeling, analysis, and optimal treatment scheduling ⋮ Dynamic consistent NSFD scheme for a viral infection model with cellular infection and general nonlinear incidence ⋮ Unnamed Item ⋮ Impact of intracellular delay, immune activation delay and nonlinear incidence on viral dynamics ⋮ Asymptotic properties of a hepatitis B virus infection model with time delay ⋮ OPTIMAL CONTROL ANALYSIS OF THE EFFECT OF TREATMENT, ISOLATION AND VACCINATION ON HEPATITIS B VIRUS ⋮ Stability analysis of hepatitis B virus model with incomplete immunization of HepB vaccine ⋮ CONTROL STRATEGIES of HEPATITIS B WITH THREE CONTROL VARIABLES ⋮ A reaction-diffusion model of dengue transmission ⋮ Repulsion effect on superinfecting virions by infected cells ⋮ GLOBAL DYNAMICS OF A REACTION AND DIFFUSION MODEL FOR AN HTLV-I INFECTION WITH MITOTIC DIVISION OF ACTIVELY INFECTED CELLS ⋮ A note on the global properties of an age-structured viral dynamic model with multiple target cell populations ⋮ Caspase-1-mediated pyroptosis of the predominance for driving \(\mathrm{CD}4^+\) T cells death: a nonlocal spatial mathematical model ⋮ Global stability of a diffusive and delayed virus infection model with general incidence function and adaptive immune response ⋮ Nonstandard finite difference scheme for a diffusive within-host virus dynamics model with both virus-to-cell and cell-to-cell transmissions ⋮ A generalized HBV model with diffusion and two delays ⋮ Global dynamics and travelling wave solutions for a class of non-cooperative reaction-diffusion systems with nonlocal infections ⋮ Dynamics of a diffusive HBV model with delayed Beddington-DeAngelis response ⋮ Spatiotemporal dynamics of a generalized HBV infection model with capsids and adaptive immunity ⋮ A diffusive virus infection dynamic model with nonlinear functional response, absorption effect and chemotaxis ⋮ Global stability of a diffusive and delayed virus dynamics model with Beddington-DeAngelis incidence function and CTL immune response ⋮ Mathematical modeling of transmission dynamics and optimal control of vaccination and treatment for hepatitis B virus ⋮ A numerical method for delayed partial differential equations describing infectious diseases ⋮ Global attractivity of a time-delayed viral infection model with spatial heterogeneity ⋮ Pattern formation of an epidemic model with time delay ⋮ Dynamical analysis of a delayed reaction-diffusion virus infection model with logistic growth and humoral immune impairment ⋮ Dynamics and asymptotical profiles of an age-structured viral infection model with spatial diffusion ⋮ AN HBV MODEL WITH DIFFUSION AND AGE OF INFECTION ⋮ Dynamics of a delayed diffusive HBV infection model with capsids and CTL immune response ⋮ Dynamics of a PDE viral infection model incorporating cell-to-cell transmission ⋮ Mathematical analysis and simulation of a hepatitis B model with time delay: a case study for Xinjiang, China ⋮ Global dynamics of a delayed diffusive virus infection model with cell-mediated immunity and cell-to-cell transmission ⋮ Spatiotemporal Dynamics of a Class of Models Describing Infectious Diseases ⋮ Global dynamics of a delay reaction-diffusion model for viral infection with specific functional response ⋮ NSFD scheme and dynamic consistency of a delayed diffusive humoral immunity viral infection model ⋮ Analysis of a reaction-diffusion HCV model with general cell-to-cell incidence function incorporating B cell activation and cure rate ⋮ Analysis of a diffusive HBV model with logistic proliferation and non-cytopathic antiviral mechanisms ⋮ The existence of positive nonconstant steady states in a reaction: diffusion epidemic model ⋮ Some models with repulsion effect on superinfecting viruses by infected cells ⋮ Complex dynamics of a time periodic nonlocal and time-delayed model of reaction-diffusion equations for modeling \(\mathrm{CD}4^+\) T cells decline ⋮ Existence of positive periodic solution of a hepatitis B virus infection model ⋮ Global stability analysis of a delay cell-population model of hepatitis B infection with humoral immune response ⋮ A delayed reaction–diffusion viral infection model with nonlinear incidences and cell-to-cell transmission ⋮ Diffusion-induced spatio-temporal oscillations in an epidemic model with two delays
Cites Work
- Unnamed Item
- Unnamed Item
- Spatial models of virus-immune dynamics
- Global stability and periodic solution of the viral dynamics
- Stability and Hopf bifurcation in a ratio-dependent predator-prey system with stage structure
- Influence of delayed viral production on viral dynamics in HIV-1 infected patients
- A mathematical model of cell-to-cell spread of HIV-1 that includes a time delay
- A delay-differential equation model of HIV infection of \(\text{CD}4^+\) T-cells
- Dynamics of a food-limited population model incorporating nonlocal delays on a finite domain
- Mathematical analysis of delay differential equation models of HIV-1 infection
- Dynamics of an HBV model with diffusion and delay
- Theory and applications of partial functional differential equations
- A model of HIV-1 pathogenesis that includes an intracellular delay
- Propagation of HBV with spatial dependence
- Existence theorems for semilinear parabolic systems with functionals
This page was built for publication: An HBV model with diffusion and time delay
