Global stability and uniform persistence for an infection load-structured SI model with exponential growth velocity

DOI10.3934/cpaa.2019002zbMath1404.35461OpenAlexW2886204878WikidataQ129353150 ScholiaQ129353150MaRDI QIDQ1615682

Antoine Perasso

Publication date: 31 October 2018

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2019002

zbMATH Keywords

PDELyapunov functionstability analysisdynamical systemsepidemic modelsstructured population dynamics

Mathematics Subject Classification ID

Epidemiology (92D30) Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Bifurcations in context of PDEs (35B32) Stability theory for smooth dynamical systems (37C75)

Related Items (3)

Asymptotic Behavior of Age-Structured and Delayed Lotka--Volterra Models ⋮ An Introduction to The Basic Reproduction Number in Mathematical Epidemiology ⋮ Global stability in a competitive infection-age structured model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lyapunov functions and global stability for \(SIR\) and \(SIRS\) epidemiological models with non-linear transmission
• Age-dependency in host-vector models: the global analysis
• Threshold behaviour of a SI epidemiological model with two structuring variables
• Identifiability analysis of an epidemiological model in a structured population
• Note on asynchronous exponential growth for structured population models
• Dynamical systems and evolution equations. Theory and applications
• Necessary and sufficient conditions for asynchronous exponential growth in age structured cell populations with quiescence
• Asynchronous exponential growth in an age structured population of proliferating and quiescent cells
• The asynchronous exponential growth property in a model for the kinetic heterogeneity of tumour cell populations
• Lyapunov functions and global stability for SIR, SIRS, and SIS epidemiological models
• Lyapunov functions and global stability for SIR and SEIR models with age-dependent suscepti\-bility
• Global stability results in a SVIR epidemic model with immunity loss rate depending on the vaccine-age
• Global stability of an SVEIR epidemic model with ages of vaccination and latency
• Global analysis of multi-strains SIS, SIR and MSIR epidemic models
• Epidemiological Models and Lyapunov Functions
• Two-Group Infection Age Model Including an Application to Nosocomial Infection
• Lyapunov Functions and Global Stability for Age-Structured HIV Infection Model
• Persistence in Infinite-Dimensional Systems
• Lyapunov functional and global asymptotic stability for an infection-age model
• Well-posedness of an epidemiological problem described by an evolution PDE
• An Operator-Theoretic Formulation of Asynchronous Exponential Growth
• How May Infection-Age-Dependent Infectivity Affect the Dynamics of HIV/AIDS?
• Contributions to the mathematical theory of epidemics. II. —The problem of endemicity
• Contributions to the mathematical theory of epidemics. III.—Further studies of the problem of endemicity
• Asymptotically Autonomous Semiflows: Chain Recurrence and Lyapunov Functions
• Asymptotic Behavior and Numerical Simulations for an Infection Load-Structured Epidemiological Model: Application to the Transmission of Prion Pathologies

This page was built for publication: Global stability and uniform persistence for an infection load-structured SI model with exponential growth velocity