Dynamics of a diffusive age-structured HBV model with saturating incidence
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Publication:327565
DOI10.3934/mbe.2016024zbMath1353.35290OpenAlexW2501043948WikidataQ40489017 ScholiaQ40489017MaRDI QIDQ327565
Kaifa Wang, Sanling Yuan, Xi-Chao Duan
Publication date: 19 October 2016
Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/mbe.2016024
global stabilitytravelling wave solutionsbasic reproductive numberspatial diffusionage-structured HBV model
Epidemiology (92D30) Asymptotic behavior of solutions to PDEs (35B40) Stability of topological dynamical systems (37B25) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Finite difference methods for boundary value problems involving PDEs (65N06) Semilinear elliptic equations (35J61) Traveling wave solutions (35C07)
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Cites Work
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- Global stability for reaction-diffusion equations in biology
- Global dynamics for a class of age-infection HIV models with nonlinear infection rate
- Dynamics of a periodically pulsed bio-reactor model with a hydraulic storage zone
- Global dynamics of an in-host viral model with intracellular delay
- Travelling wave solutions in multigroup age-structured epidemic models
- Global stability and periodic solution of the viral dynamics
- Global stability of an SEIR epidemic model with age-dependent latency and relapse
- BMO estimate to A-harmonic systems with discontinuous coefficients
- Introduction to functional differential equations
- Virus load and antigenic diversity
- An HBV model with diffusion and time delay
- 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
- Dynamics of an HBV model with diffusion and delay
- ``Integrated semigroups and integrated solutions to abstract Cauchy problems
- Theory and applications of partial functional differential equations
- Optimizing within-host viral fitness: infected cell lifespan and virion production rate
- Dynamics of a diffusive HBV model with delayed Beddington-DeAngelis response
- Competitive exclusion in an infection-age structured model with environmental transmission
- Global stability of an SVEIR epidemic model with ages of vaccination and latency
- Travelling wave solutions for a scalar age-structured equation
- Propagation of HBV with spatial dependence
- Lyapunov Functions and Global Stability for Age-Structured HIV Infection Model
- Travelling wave solutions for an infection-age structured epidemic model with external supplies
- A Hepatitis B and C Virus Model with Age since Infection that Exhibits Backward Bifurcation
- Abstract Functional Differential Equations and Reaction-Diffusion Systems
- Existence theorems for semilinear parabolic systems with functionals
- Travelling waves of a hepatitis B virus infection model with spatial diffusion and time delay
- Lyapunov functional and global asymptotic stability for an infection-age model
- Traveling Wave Solutions for Systems of ODEs on a Two-Dimensional Spatial Lattice
- Mathematical Analysis of HIV-1 Dynamics in Vivo
- How May Infection-Age-Dependent Infectivity Affect the Dynamics of HIV/AIDS?
- A reaction–diffusion model for a single species with age structure. I Travelling wavefronts on unbounded domains
- Contributions to the mathematical theory of epidemics. III.—Further studies of the problem of endemicity
- Mathematical Analysis of Age‐Structured HIV‐1 Dynamics with Combination Antiretroviral Therapy
- Travelling wave solutions for an infection-age structured model with diffusion
- Impact of Intracellular Delays and Target-Cell Dynamics on In Vivo Viral Infections
- An Age-Structured Model for the Transmission Dynamics of Hepatitis B
- Global Attractors and Steady States for Uniformly Persistent Dynamical Systems
