Asymptotic behavior of the principal eigenvalue for cooperative periodic-parabolic systems and applications

DOI10.1016/j.jde.2020.06.067zbMath1447.35231OpenAlexW3043699884MaRDI QIDQ2202274

Xiaoqing He, Xue-Li Bai

Publication date: 18 September 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2020.06.067

zbMATH Keywords

asymptotic analysisglobally asymptotically stablesmall diffusion limitperiodic-parabolic eivenvalue problem

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Singular perturbations in context of PDEs (35B25) Estimates of eigenvalues in context of PDEs (35P15) Population dynamics (general) (92D25) Eigenvalue problems for linear operators (47A75) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (10)

The spectral bound and basic reproduction ratio for nonlocal dispersal cooperative problems ⋮ Dynamics of a periodic-parabolic Lotka-Volterra competition-diffusion system in heterogeneous environments ⋮ Threshold dynamics of a time-periodic nonlocal dispersal SIS epidemic model with Neumann boundary conditions ⋮ Coexistence and competitive exclusion in a time-periodic Lotka-Volterra competition-diffusion system ⋮ Principal spectral theory in multigroup age-structured models with nonlocal diffusion ⋮ Mathematical analysis of autonomous and non‐autonomous age‐structured reaction‐diffusion‐advection population model ⋮ Asymptotic behavior of the principal eigenvalue and basic reproduction ratio for time-periodic reaction-diffusion systems with time delay ⋮ Spatial diffusion and periodic evolving of domain in an SIS epidemic model ⋮ Ideal Free Dispersal under General Spatial Heterogeneity and Time Periodicity ⋮ Asymptotic Behavior of the Basic Reproduction Ratio for Periodic Reaction-Diffusion Systems

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