An age-structured within-host HIV model with T-cell competition
From MaRDI portal
Publication:2410659
DOI10.1016/j.nonrwa.2017.04.002zbMath1375.92036OpenAlexW2611040611MaRDI QIDQ2410659
Yijun Lou, Kaihui Liu, Yan Wang
Publication date: 18 October 2017
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2017.04.002
Epidemiology (92D30) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Bifurcations in context of PDEs (35B32) Medical epidemiology (92C60)
Related Items (6)
Mathematical analysis of an age-structured HIV model with intracellular delay ⋮ Bifurcations and Bistability of an Age-Structured Viral Infection Model with a Nonmonotonic Immune Response ⋮ Analysis of an age-structured HIV in-host model with proliferation and two infection modes ⋮ An age-structured epidemic model with waning immunity and general nonlinear incidence rate ⋮ Dynamics of an HIV infection model with two infection routes and evolutionary competition between two viral strains ⋮ Global dynamics of an age-structured within-host viral infection model with cell-to-cell transmission and general humoral immunity response
Cites Work
- Unnamed Item
- Unnamed Item
- Backward bifurcation in a model for HTLV-I infection of CD4\(^{+}\) T cells
- Analysis of an age structured HIV infection model with virus-to-cell infection and cell-to-cell transmission
- Bifurcation analysis of a discrete SIS model with bilinear incidence depending on new infection
- Viral dynamics model with CTL immune response incorporating antiretroviral therapy
- Global analysis of age-structured within-host virus model
- Joint effects of mitosis and intracellular delay on viral dynamics: two-parameter bifurcation analysis
- HIV infection and CD\(4^+\) T cell dynamics
- Stage-structured models of intra- and inter-specific competition within age classes
- Immuno-epidemiology of a population structured by immune status: a mathematical study of waning immunity and immune system boosting
- Mathematical epidemiology.
- Analysis of the dynamics of a delayed HIV pathogenesis model
- Semigroups of linear operators and applications to partial differential equations
- Backward bifurcation in epidemic control
- Progression age enhanced backward bifurcation in an epidemic model with super-infection
- A delay-differential equation model of HIV infection of \(\text{CD}4^+\) T-cells
- A simple SIS epidemic model with a backward bifurcation
- An age-structured model of HIV infection that allows for variations in the production rate of viral particles and the death rate of productively infected cells
- Dynamical models of tuberculosis and their applications
- Backward bifurcations and multiple equilibria in epidemic models with structured immunity
- Asymptotic behaviors of competitive Lotka-Volterra system with stage structure
- On logistic models with a carrying capacity dependent diffusion: stability of equilibria and coexistence with a regularly diffusing population
- Oscillatory viral dynamics in a delayed HIV pathogenesis model
- Modeling diseases with latency and relapse
- Mathematical analysis of the global dynamics of a model for HIV infection of CD4\(^{+}\) T cells
- Backward bifurcation of an epidemic model with treatment
- Backward bifurcation in a mathematical model for HIV infection \textit{in vivo} with anti-retroviral treatment
- Dynamics of evolutionary competition between budding and lytic viral release strategies
- Lyapunov Functions and Global Stability for Age-Structured HIV Infection Model
- A Hepatitis B and C Virus Model with Age since Infection that Exhibits Backward Bifurcation
- Mathematical Analysis of HIV-1 Dynamics in Vivo
- Virus Dynamics: A Global Analysis
- Mathematical Analysis of Age‐Structured HIV‐1 Dynamics with Combination Antiretroviral Therapy
- Viral Blips May Not Need a Trigger: How Transient Viremia Can Arise in Deterministic In-Host Models
This page was built for publication: An age-structured within-host HIV model with T-cell competition