Global stability in a competitive infection-age structured model
From MaRDI portal
Publication:5001321
DOI10.1051/mmnp/2020007zbMath1469.35028arXiv1910.01890OpenAlexW3014269390MaRDI QIDQ5001321
Publication date: 19 July 2021
Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.01890
Lyapunov functionglobal stabilityintegrated semigroupcompetitive exclusionstructured population dynamics
Epidemiology (92D30) Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Initial value problems for first-order hyperbolic systems (35L45) Integrated semigroups (47D62)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On a strain-structured epidemic model
- Chemostats and epidemics: competition for nutrients/hosts
- Threshold behaviour of a SI epidemiological model with two structuring variables
- Steady states in a structured epidemic model with Wentzell boundary condition
- On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
- Semiflows generated by Lipschitz perturbations of non-densely defined operators
- Global stability for an SEIR epidemiological model with varying infectivity and infinite delay
- Complete global stability for an SIR epidemic model with delay - distributed or discrete
- Dynamical systems and evolution equations. Theory and applications
- On global stability of a predator-prey system
- Global stability and uniform persistence for an infection load-structured SI model with exponential growth velocity
- An age-structured virus model with two routes of infection in heterogeneous environments
- Long-time asymptotics for nonlinear growth-fragmentation equations
- Theory and applications of abstract semilinear Cauchy problems
- Competitive exclusion in an infection-age structured model with environmental transmission
- Analysis of a within-host age-structured model with mutations between two viral strains
- The basic approach to age-structured population dynamics. Models, methods and numerics
- Essential growth rate for bounded linear perturbation of nondensely defined Cauchy problems
- A survey of constructing Lyapunov functions for mathematical models in population biology
- Two-Group Infection Age Model Including an Application to Nosocomial Infection
- SINGULARLY PERTURBED ELLIPTIC SYSTEM MODELING THE COMPETITIVE INTERACTIONS FOR A SINGLE RESOURCE
- Persistence in Infinite-Dimensional Systems
- Mathematical Models in Population Biology and Epidemiology
- Competitive exclusion in a vector–host epidemic model with distributed delay†
- Competitive exclusion in a multi-strain immuno-epidemiological influenza model with environmental transmission
- Lyapunov functional and global asymptotic stability for an infection-age model
- An Operator-Theoretic Formulation of Asynchronous Exponential Growth
- One-Parameter Semigroups for Linear Evolution Equations
- How May Infection-Age-Dependent Infectivity Affect the Dynamics of HIV/AIDS?
- An Introduction to The Basic Reproduction Number in Mathematical Epidemiology
- Asymptotically Autonomous Semiflows: Chain Recurrence and Lyapunov Functions
- An Age-Structured Within-Host Model for Multistrain Malaria Infections
- Asymptotic Behavior of Age-Structured and Delayed Lotka--Volterra Models
- Asymptotic Behavior and Numerical Simulations for an Infection Load-Structured Epidemiological Model: Application to the Transmission of Prion Pathologies
- Age-Structured Population Dynamics in Demography and Epidemiology
- Global Attractors and Steady States for Uniformly Persistent Dynamical Systems
This page was built for publication: Global stability in a competitive infection-age structured model