Analysis of a Local Diffusive SIR Model with Seasonality and Nonlocal Incidence of Infection
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Publication:4972018
DOI10.1137/18M1231493zbMath1428.37093MaRDI QIDQ4972018
No author found.
Publication date: 22 November 2019
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
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Cites Work
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- Asymptotic profiles of steady states for a diffusive SIS epidemic model with mass action infection mechanism
- On a new perspective of the basic reproduction number in heterogeneous environments
- Global stability of the endemic equilibrium in infinite dimension: Lyapunov functions and positive operators
- Threshold dynamics for compartmental epidemic models in periodic environments
- Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model
- Dynamics of an SIS reaction-diffusion epidemic model for disease transmission
- Global-stability problem for coupled systems of differential equations on networks
- Semigroups of linear operators and applications to partial differential equations
- A reaction-diffusion model for a deterministic diffusive epidemic
- Qualitative analyses of communicable disease models
- Perturbation theory for linear operators.
- Threshold dynamics in a time-delayed periodic SIS epidemic model
- Basic reproduction ratios for periodic abstract functional differential equations (with application to a spatial model for Lyme disease)
- Threshold dynamics of a time periodic reaction-diffusion epidemic model with latent period
- The epidemic threshold of vector-borne diseases with seasonality
- The Mathematics of Infectious Diseases
- A reaction–diffusion SIS epidemic model in a time-periodic environment
- Asymptotic behavior for a system describing epidemics with migration and spatial spread of infection
- A graph-theoretic approach to the method of global Lyapunov functions
- 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
- Stability and Sensitivity Analysis of the iSIR Model for Indirectly Transmitted Infectious Diseases with Immunological Threshold
- An Introduction to Mathematical Epidemiology
- Lyapunov functions and global stability for a spatially diffusive SIR epidemic model
- A Reaction-Diffusion Lyme Disease Model with Seasonality
- A table of integrals of the Error functions
- Dynamical systems in population biology
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