Global dynamics of an infinite dimensional epidemic model with nonlocal state structures
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Publication:1669810
DOI10.1016/j.jde.2018.06.036zbMath1402.37090OpenAlexW2886955493WikidataQ129402115 ScholiaQ129402115MaRDI QIDQ1669810
Publication date: 4 September 2018
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2018.06.036
integro-differential equationsglobal stabilitynonlinear semi-groupsnonlocal structuresprincipal spectral conditions
Epidemiology (92D30) Dynamical systems in biology (37N25) Hyperbolicity, Lyapunov functions for infinite-dimensional dissipative dynamical systems (37L45)
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Cites Work
- On a simple criterion for the existence of a principal eigenfunction of some nonlocal operators
- Global stability of the endemic equilibrium in infinite dimension: Lyapunov functions and positive operators
- On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
- Global stability analysis for SEIS models with \(n\) latent classes
- Spreading speeds for monostable equations with nonlocal dispersal in space periodic habitats
- Global-stability problem for coupled systems of differential equations on networks
- Semigroups of linear operators and applications to partial differential equations
- One-parameter semigroups of positive operators
- Dynamical behavior of epidemiological models with nonlinear incidence rates
- Spectral properties of integral operators with nonnegative kernels
- Quantifying the intrinsic transmission dynamics of tuberculosis
- The differential infectivity and staged progression models for the transmission of HIV
- Spreading disease: Integro-differential equations old and new.
- A Lyapunov function and global properties for \(SIR\) and \(SEIR\) epidemiological models with nonlinear incidence
- Perturbations of positive semigroups and applications to population genetics
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- A model of HIV/AIDS with staged progression and amelioration
- An epidemic model in a patchy environment
- The evolution of dispersal
- Random dispersal vs. non-local dispersal
- Mathematical analysis of an age-structured SIR epidemic model with vertical transmission
- Global Dynamics of a General Class of Multistage Models for Infectious Diseases
- Compactness of bounded trajectories of dynamical systems in infinite dimensional spaces
- A graph-theoretic approach to the method of global Lyapunov functions
- Lyapunov functional and global asymptotic stability for an infection-age model
- Global Behavior of an Age-Structured Epidemic Model
- One-Parameter Semigroups for Linear Evolution Equations
- Endemic Models with Arbitrarily Distributed Periods of Infection I: Fundamental Properties of the Model
- Global attractivity and stability in some monotone discrete dynamical systems
- Global Attractors and Steady States for Uniformly Persistent Dynamical Systems
- Frobenius Theory of Positive Operators: Comparison Theorems and Applications
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