The spectral bound and basic reproduction ratio for nonlocal dispersal cooperative problems

DOI10.1016/j.jmaa.2023.127651zbMath1526.92054OpenAlexW4385566514MaRDI QIDQ6058833

Q. R. Wang, Xiandong Lin

Publication date: 1 November 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2023.127651

zbMATH Keywords

asymptotic behaviorbasic reproduction rationonlocal dispersal operatornonlocal dispersal cooperative systemsspectral bound and principal eigenvalue

Mathematics Subject Classification ID

Epidemiology (92D30) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Asymptotic distributions of eigenvalues in context of PDEs (35P20)

Related Items (1)

Threshold dynamics of a time-periodic nonlocal dispersal SIS epidemic model with Neumann boundary conditions

Cites Work

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• On principal spectrum points/principal eigenvalues of nonlocal dispersal operators and applications
• Approximations of random dispersal operators/equations by nonlocal dispersal operators/equations
• Dynamics of a nonlocal dispersal SIS epidemic model
• Basic reproduction ratios for periodic compartmental models with time delay
• On a simple criterion for the existence of a principal eigenfunction of some nonlocal operators
• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model
• Spreading speeds for monostable equations with nonlocal dispersal in space periodic habitats
• Positive perturbation of operator semigroups: Growth bounds, essential compactness, and asynchronous exponential growth
• Global dynamics of an SIR epidemic model with nonlocal diffusion
• Perturbation theory for linear operators.
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Criteria for the existence and lower bounds of principal eigenvalues of time periodic nonlocal dispersal operators and applications
• Dynamics of a nonlocal dispersal foot-and-mouth disease model in a spatially heterogeneous environment
• Asymptotic behavior of the principal eigenvalue for cooperative periodic-parabolic systems and applications
• Random dispersal vs. non-local dispersal
• Basic reproduction ratios for periodic abstract functional differential equations (with application to a spatial model for Lyme disease)
• On the principal eigenvalue of some nonlocal diffusion problems
• Dynamics of a nonlocal dispersal SIS epidemic model with Neumann boundary conditions
• The principal eigenvalue for periodic nonlocal dispersal systems with time delay
• Pulsating fronts for nonlocal dispersion and KPP nonlinearity
• Dynamics of smooth essentially strongly order-preserving semiflows with application to delay differential equations
• Asymptotic behavior of the principal eigenvalue and basic reproduction ratio for time-periodic reaction-diffusion systems with time delay
• A reaction–diffusion SIS epidemic model in a time-periodic environment
• Criteria for the existence of principal eigenvalues of time periodic cooperative linear systems with nonlocal dispersal
• One-Parameter Semigroups for Linear Evolution Equations
• On the Basic Reproduction Number of Reaction-Diffusion Epidemic Models
• Asymptotic Behavior of the Basic Reproduction Ratio for Periodic Reaction-Diffusion Systems
• Asymptotic Profiles of Basic Reproduction Number for Epidemic Spreading in Heterogeneous Environment
• Spectral Bound and Reproduction Number for Infinite-Dimensional Population Structure and Time Heterogeneity
• The Principal Eigenvalue for Degenerate Periodic Reaction-Diffusion Systems
• The radius of the essential spectrum

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