Global dynamics of a delay reaction-diffusion model for viral infection with specific functional response
From MaRDI portal
Publication:747183
DOI10.1007/s40314-014-0143-xzbMath1327.35179OpenAlexW2013749368MaRDI QIDQ747183
Publication date: 23 October 2015
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-014-0143-x
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) General biology and biomathematics (92B05)
Related Items
Stability analysis of a delayed social epidemics model with general contact rate and its optimal control ⋮ A generalized virus dynamics model with cell-to-cell transmission and cure rate ⋮ The joint effects of diffusion and delay on the stability of a ratio-dependent predator-prey model ⋮ Modeling cell-to-cell spread of HIV-1 with nonlocal infections ⋮ Qualitative analysis of a stochastic epidemic model with specific functional response and temporary immunity ⋮ Qualitative analysis of a generalized virus dynamics model with both modes of transmission and distributed delays ⋮ Stability of a CD4+ T cell viral infection model with diffusion ⋮ A Generalized Reaction-Diffusion Epidemic Model with Time Delay ⋮ Dynamics of a diffusion-driven HBV infection model with capsids and time delay ⋮ Analysis and simulation of a delayed HIV model with reaction-diffusion and sliding control ⋮ Global dynamics of a multi-strain SEIR epidemic model with general incidence rates: application to COVID-19 pandemic ⋮ On the global stability of an age‐structured tuberculosis transmission model with relapse ⋮ A class of diffusive delayed viral infection models with general incidence function and cellular proliferation ⋮ Global dynamics for discrete-time analog of viral infection model with nonlinear incidence and CTL immune response ⋮ GLOBAL DYNAMICS OF A REACTION AND DIFFUSION MODEL FOR AN HTLV-I INFECTION WITH MITOTIC DIVISION OF ACTIVELY INFECTED CELLS ⋮ Stability of a viral infection model with state-dependent delay, CTL and antibody immune responses ⋮ Global stability of a diffusive and delayed HBV infection model with HBV DNA-containing capsids and general incidence rate ⋮ A delayed diffusive influenza model with two-strain and two vaccinations ⋮ A numerical method for delayed partial differential equations describing infectious diseases ⋮ Dynamics of a delayed diffusive HBV infection model with capsids and CTL immune response ⋮ Global properties of a discrete viral infection model with general incidence rate ⋮ Spatiotemporal Dynamics of a Class of Models Describing Infectious Diseases
Cites Work
- Unnamed Item
- Global stability for reaction-diffusion equations in biology
- Global stability of a virus dynamics model with Beddington-DeAngelis incidence rate and CTL immune response
- Global stability of a virus dynamics model with cure rate and absorption
- Global analysis for delay virus dynamics model with Beddington-DeAngelis functional response
- Heterogeneous viral environment in a HIV spatial model
- Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems
- Global stability and periodic solution of the viral dynamics
- Stability analysis of a virus dynamics model with general incidence rate and two delays
- Dynamic theory of quasilinear parabolic systems. III: Global existence
- Global properties for virus dynamics model with Beddington-DeAngelis functional response
- Introduction to functional differential equations
- Dynamics of a food-limited population model incorporating nonlocal delays on a finite domain
- An HBV model with diffusion and time delay
- Stability of the virus dynamics model with Beddington-DeAngelis functional response and delays
- Mathematical analysis of a virus dynamics model with general incidence rate and cure rate
- Modeling the mechanisms of acute hepatitis B virus infection
- Stability analysis of a model for HBV infection with cure of infected cells and intracellular delay
- Dynamics of a diffusive HBV model with delayed Beddington-DeAngelis response
- Propagation of HBV with spatial dependence
- Asymptotic properties of a HIV-1 infection model with time delay
- GLOBAL STABILITY OF THE VIRAL DYNAMICS WITH CROWLEY-MARTIN FUNCTIONAL RESPONSE
- Impact of delays in cell infection and virus production on HIV-1 dynamics
- Dynamic theory of quasilinear parabolic equations—I. Abstract evolution equations