Mathematical analysis on an age-structured SIS epidemic model with nonlocal diffusion

DOI10.1007/s00285-021-01634-xzbMath1473.35599OpenAlexW3173521607WikidataQ113905493 ScholiaQ113905493MaRDI QIDQ2040268

Hao Kang, Shigui Ruan

Publication date: 13 July 2021

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-021-01634-x

zbMATH Keywords

age-structureprincipal eigenvaluesemigroup theorySIS modelglobal dynamicsnonlocal diffusionmonotone and positive operators

Mathematics Subject Classification ID

Epidemiology (92D30) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) First-order nonlinear hyperbolic equations (35L60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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