Stability analysis of a general discrete-time pathogen infection model with humoral immunity
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Publication:5240630
DOI10.1080/10236198.2019.1662411zbMath1423.39024OpenAlexW2973786256MaRDI QIDQ5240630
M. A. Alshaikh, Ahmed M. Elaiw
Publication date: 29 October 2019
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10236198.2019.1662411
Epidemiology (92D30) Dynamical systems in biology (37N25) Stability theory for difference equations (39A30) Applications of difference equations (39A60)
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Cites Work
- Unnamed Item
- Unnamed Item
- HIV-1 infection and low steady state viral loads
- Some results on difference polynomials sharing values
- Global dynamics of an HIV infection model with two classes of target cells and distributed delays
- A delayed HIV-1 model with virus waning term
- Global stability and periodic solution of the viral dynamics
- Global stability of humoral immunity virus dynamics models with nonlinear infection rate and removal
- Global properties of a class of HIV models
- Global properties of an improved hepatitis B virus model
- Global properties for virus dynamics model with Beddington-DeAngelis functional response
- The stability and control of discrete processes
- Global analysis of HIV-1 dynamics with Hill type infection rate and intracellular delay
- Global properties of delayed-HIV dynamics models with differential drug efficacy in cocirculating target cells
- Global stability of a diffusive and delayed virus dynamics model with Crowley-Martin incidence function and CTL immune response
- Stability of delayed pathogen dynamics models with latency and two routes of infection
- Effect of cellular reservoirs and delays on the global dynamics of HIV
- Dynamic consistent NSFD scheme for a viral infection model with cellular infection and general nonlinear incidence
- Stability of delayed HIV dynamics models with two latent reservoirs and immune impairment
- Discretization and dynamic consistency of a delayed and diffusive viral infection model
- Mathematical analysis of a virus dynamics model with general incidence rate and cure rate
- Global properties of a class of virus infection models with multitarget cells
- Dynamic analysis and optimal control for a model of hepatitis C with treatment
- Stabilization in a chemotaxis model for virus infection
- Global properties of a general latent pathogen dynamics model with delayed pathogenic and cellular infections
- The threshold for a stochastic HIV-1 infection model with Beddington-DeAngelis incidence rate
- Stability analysis of pathogen-immune interaction dynamics
- Global properties of a discrete viral infection model with general incidence rate
- Global Stability of a Nonlinear Viral Infection Model with Infinitely Distributed Intracellular Delays and CTL Immune Responses
- GLOBAL STABILITY OF HIV INFECTION MODELS WITH INTRACELLULAR DELAYS
- 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
- Stability of a general delay‐distributed virus dynamics model with multi‐staged infected progression and immune response
- Global dynamics of a discrete viral infection model with time delay, virus-to-cell and cell-to-cell transmissions
- Global stability and a non-standard finite difference scheme for a diffusion driven HBV model with capsids
- Global properties of nonlinear humoral immunity viral infection models
- Global dynamics of delay‐distributed HIV infection models with differential drug efficacy in cocirculating target cells
- Mathematical Analysis of HIV-1 Dynamics in Vivo
- Virus Dynamics: A Global Analysis
- Stability of an adaptive immunity pathogen dynamics model with latency and multiple delays
- Stability of general virus dynamics models with both cellular and viral infections and delays
- Global properties of a class of HIV infection models with Beddington–DeAngelis functional response
- Stability analysis of general humoral immunity HIV dynamics models with discrete delays and HAART
- Bifurcation analysis of a multidelayed HIV model in presence of immune response and understanding of in‐host viral dynamics
- Heterogeneous population dynamics of active particles: Progression, mutations, and selection dynamics
- Lyapunov Functionals for Delay Differential Equations Model of Viral Infections
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