The generalised principal eigenvalue of time-periodic nonlocal dispersal operators and applications

DOI10.1016/j.jde.2020.03.046zbMath1448.35305arXiv1911.08956OpenAlexW3014360159MaRDI QIDQ2184706

Yuan Lou, Yuan-Hang Su, Wang-Tong Li, Fei-Ying Yang

Publication date: 29 May 2020

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

Full work available at URL: https://arxiv.org/abs/1911.08956

zbMATH Keywords

asymptotic behaviorKPP equationgeneralised principal eigenvaluepositive time-periodic solutiontime-periodic nonlocal dispersal operator

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Eigenvalue problems for integral equations (45C05) Integro-differential operators (47G20) Integro-partial differential equations (35R09)

Related Items (14)

Dispersal-induced growth in a time-periodic environment ⋮ Principal spectral theory and asynchronous exponential growth for age-structured models with nonlocal diffusion of Neumann type ⋮ Perturbation problem for the indefinite nonlocal periodic-parabolic equation ⋮ Asymptotic profiles of a nonlocal dispersal SIS epidemic model with Neumann boundary condition ⋮ Non-local dispersal equations with almost periodic dependence. II: Asymptotic dynamics of Fisher-KPP equations ⋮ Principal spectral theory for nonlocal systems and applications to stem cell regeneration models ⋮ The nonlocal dispersal equation with seasonal succession ⋮ Propagation dynamics of nonlocal dispersal monostable equations in time-space periodic habitats ⋮ Principal spectral theory and variational characterizations for cooperative systems with nonlocal and coupled diffusion ⋮ Principal spectral theory in multigroup age-structured models with nonlocal diffusion ⋮ A study of nonlocal spatially heterogeneous logistic equation with harvesting ⋮ Nonlocal dispersal equations with almost periodic dependence. I. Principal spectral theory ⋮ Propagation dynamics in periodic predator-prey systems with nonlocal dispersal ⋮ Long-time behavior of a nonlocal dispersal logistic model with seasonal succession

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