A numerical method for delayed partial differential equations describing infectious diseases
From MaRDI portal
Publication:2012740
DOI10.1016/j.camwa.2016.09.024zbMath1368.65138OpenAlexW2531905951MaRDI QIDQ2012740
Publication date: 3 August 2017
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2016.09.024
Epidemiology (92D30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Computational methods for problems pertaining to biology (92-08)
Related Items (13)
Global dynamics of a reaction-diffusion waterborne pathogen model with general incidence rate ⋮ Spatiotemporal dynamics of a delayed viral infection model with two modes of transmission and immune impairment ⋮ A diffusive SVEIR epidemic model with time delay and general incidence ⋮ Qualitative analysis of a generalized virus dynamics model with both modes of transmission and distributed delays ⋮ A non-standard finite difference scheme for a delayed and diffusive viral infection model with general nonlinear incidence rate ⋮ Stability of discrete-time HIV dynamics models with three categories of infected CD \(4^+\) T-cells ⋮ Solvability to an initial-periodic problem for delay partial differential equations of Sobolev type ⋮ Dynamic event-triggered boundary control for exponential consensus of multi-agent systems of impulsive PDEs with switching topology ⋮ Discretization and dynamic consistency of a delayed and diffusive viral infection model ⋮ Spatiotemporal dynamics of a generalized HBV infection model with capsids and adaptive immunity ⋮ Dynamic consistent NSFD scheme for a delayed viral infection model with immune response and nonlinear incidence ⋮ NSFD scheme and dynamic consistency of a delayed diffusive humoral immunity viral infection model ⋮ Global stability of a delayed and diffusive virus model with nonlinear infection function
Cites Work
- Global stability of a virus dynamics model with cure rate and absorption
- A generalized HBV model with diffusion and two delays
- Heterogeneous viral environment in a HIV spatial model
- Modeling the adaptive immune response in HBV infection
- Effect of discretization on dynamical behavior in an epidemiological model
- Global dynamics of a delay reaction-diffusion model for viral infection with specific functional response
- Stability analysis of a virus dynamics model with general incidence rate and two delays
- Mathematical analysis of a basic virus infection model with application to HBV infection
- An HBV model with diffusion and time delay
- Dynamics of an HBV model with diffusion and delay
- Dynamics of HIV infection of CD4\(^ +\) T cells
- Mathematical analysis of a virus dynamics model with general incidence rate and cure rate
- Analysis of a HBV model with diffusion and time delay
- Global stability analysis for delayed virus infection model with general incidence rate and humoral immunity
- Dynamics of a diffusive HBV model with delayed Beddington-DeAngelis response
- Dynamics analysis and simulation of a modified HIV infection model with a saturated infection rate
- Stability analysis of a delayed social epidemics model with general contact rate and its optimal control
- Propagation of HBV with spatial dependence
- A delay virus dynamics model with general incidence rate
- Dynamical behaviors of a discrete HIV-1 virus model with bilinear infective rate
- A non-standard finite difference method for a hepatitis B virus infection model with spatial diffusion
- Two characterizations of inverse-positive matrices: the Hawkins-Simon condition and the Le Chatelier-Braun principle
- A delayed SIR epidemic model with a general incidence rate
This page was built for publication: A numerical method for delayed partial differential equations describing infectious diseases
