Global dynamics of an age-structured in-host viral infection model with humoral immunity
From MaRDI portal
Publication:1796263
DOI10.1186/s13662-015-0733-yzbMath1418.92173OpenAlexW2224035357WikidataQ59468334 ScholiaQ59468334MaRDI QIDQ1796263
Publication date: 17 October 2018
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-015-0733-y
Epidemiology (92D30) Stability theory of functional-differential equations (34K20) Global stability of solutions to ordinary differential equations (34D23) Medical epidemiology (92C60)
Related Items
Extremal solutions for some periodic fractional differential equations ⋮ Dynamical analysis of a stochastic SIS epidemic model with nonlinear incidence rate and double epidemic hypothesis ⋮ Monotone iterative technique for nonlinear boundary value problems of fractional order \(p\in(2,3\)] ⋮ The positive solutions of infinite-point boundary value problem of fractional differential equations on the infinite interval ⋮ Stability of a general adaptive immunity HIV infection model with silent infected cell-to-cell spread ⋮ Stable finite difference method for fractional reaction-diffusion equations by compact implicit integration factor methods ⋮ Positive periodic solution for higher-order \(p\)-Laplacian neutral singular Rayleigh equation with variable coefficient ⋮ Positive solutions for a boundary value problem of fractional differential equation with \(p\)-Laplacian operator ⋮ Existence and uniqueness of solutions for a class of fractional nonlinear boundary value problems under mild assumptions ⋮ The method of lower and upper solutions for the general boundary value problems of fractional differential equations with \(p\)-Laplacian ⋮ Time-space fractional \((2+1)\) dimensional nonlinear Schrödinger equation for envelope gravity waves in baroclinic atmosphere and conservation laws as well as exact solutions ⋮ A new comparison principle and its application to nonlinear impulsive functional integro-differential equations ⋮ Lyapunov inequalities of left focal \(q\)-difference boundary value problems and applications ⋮ Global dynamics in an age-structured HIV model with humoral immunity ⋮ Global properties of a general latent pathogen dynamics model with delayed pathogenic and cellular infections ⋮ Monotone iterative method for a \(p\)-Laplacian boundary value problem with fractional conformable derivatives ⋮ Existence of solutions for some two-point fractional boundary value problems under barrier strip conditions ⋮ GLOBAL STABILITY OF VIRUS DYNAMICS MODEL WITH IMMUNE RESPONSE, CELLULAR INFECTION AND HOLLING TYPE-II
Cites Work
- On Caputo type sequential fractional differential equations with nonlocal integral boundary conditions
- Global stability of in-host viral models with humoral immunity and intracellular delays
- Introduction to functional differential equations
- 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
- Optimizing within-host viral fitness: infected cell lifespan and virion production rate
- Stability analysis of pathogen-immune interaction dynamics
- A note on the stability analysis of pathogen-immune interaction dynamics
- Lyapunov Functions and Global Stability for Age-Structured HIV Infection Model
- Global stability of models of humoral immunity against multiple viral strains
