NSFD scheme and dynamic consistency of a delayed diffusive humoral immunity viral infection model

DOI10.1007/s12190-020-01362-3zbMath1478.92050OpenAlexW3024762586MaRDI QIDQ2053091

Dengyu Liu, Xiaosong Tang, Zhiyun Deng, Tao Yu

Publication date: 29 November 2021

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-020-01362-3

zbMATH Keywords

Lyapunov functionglobal stabilitydynamic consistencyhumoral immunityvirus infection modelNSFD scheme

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell biology (92C37) Global stability of solutions to ordinary differential equations (34D23) Pathology, pathophysiology (92C32)

Related Items (1)

Spatiotemporal dynamics in a diffusive bacterial and viral diseases propagation model with chemotaxis

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global stability and Hopf bifurcation of an HIV-1 infection model with saturation incidence and delayed CTL immune response
• Dynamics of a diffusive age-structured HBV model with saturating incidence
• Global stability of a virus dynamics model with Beddington-DeAngelis incidence rate and CTL immune response
• Global stability of an HIV-1 infection model with saturation infection and intracellular delay
• Dynamical behaviors of an HBV infection model with logistic hepatocyte growth
• Positive and elementary stable nonstandard numerical methods with applications to predator-prey models
• Global dynamics of a diffusive viral infection model with general incidence function and distributed delays
• Global stability of a diffusive virus dynamics model with general incidence function and time delay
• Global stability of humoral immunity virus dynamics models with nonlinear infection rate and removal
• A nonstandard dynamically consistent numerical scheme applied to obesity dynamics
• An 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
• Discretization and dynamic consistency of a delayed and diffusive viral infection model
• Global stability of a diffusive and delayed HBV infection model with HBV DNA-containing capsids and general incidence rate
• Global properties of a HBV infection model with HBV DNA-containing capsids and CTL immune response
• Dynamics of an HBV model with diffusion and delay
• Discretizations of nonlinear differential equations using explicit nonstandard methods
• 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
• Global stability of a diffusive and delayed virus dynamics model with Beddington-DeAngelis incidence function and CTL immune response
• A numerical method for delayed partial differential equations describing infectious diseases
• Threshold dynamics and competitive exclusion in a virus infection model with general incidence function and density-dependent diffusion
• Modeling the mechanisms of acute hepatitis B virus infection
• Dynamics of a diffusive HBV model with delayed Beddington-DeAngelis response
• Chemotaxis induced Turing bifurcation in a partly diffusive bacterial and viral diseases propagation model
• An unconditionally positivity preserving scheme for advection-diffusion reaction equations
• A discrete time version for models of population dynamics in the presence of an infection
• A non-standard finite difference method for a hepatitis B virus infection model with spatial diffusion
• GLOBAL STABILITY OF THE VIRAL DYNAMICS WITH CROWLEY-MARTIN FUNCTIONAL RESPONSE
• Global dynamics of difference equations for SIR epidemic models with a class of nonlinear incidence rates
• Existence theorems for semilinear parabolic systems with functionals
• Global stability and a non-standard finite difference scheme for a diffusion driven HBV model with capsids
• The basic reproduction number in some discrete-time epidemic models
• Travelling waves of a hepatitis B virus infection model with spatial diffusion and time delay
• Dynamics of a diffusion-driven HBV infection model with capsids and time delay
• Lyapunov direct method for investigating stability of nonstandard finite difference schemes for metapopulation models
• Impact of Intracellular Delays and Target-Cell Dynamics on In Vivo Viral Infections

This page was built for publication: NSFD scheme and dynamic consistency of a delayed diffusive humoral immunity viral infection model