Asymptotic behavior of the principal eigenvalue and basic reproduction ratio for time-periodic reaction-diffusion systems with time delay

DOI10.3934/dcdsb.2022250OpenAlexW4313142888MaRDI QIDQ2697292

Xiandong Lin, Q. R. Wang

Publication date: 18 April 2023

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2022250

zbMATH Keywords

asymptotic behaviorprincipal eigenvaluebasic reproduction ratiogeneralized Krein-Rutman theoremtime-periodic reaction-diffusion systems with time delay

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Estimates of eigenvalues in context of PDEs (35P15) Population dynamics (general) (92D25) Partial functional-differential equations (35R10) Initial-boundary value problems for second-order parabolic systems (35K51)

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