Free boundary problems with nonlocal and local diffusions. II: Spreading-vanishing and long-time behavior

DOI10.3934/dcdsb.2020121zbMath1465.35421arXiv1911.11957OpenAlexW3013836566MaRDI QIDQ2026578

Yanyan Li

Publication date: 20 May 2021

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

Full work available at URL: https://arxiv.org/abs/1911.11957

zbMATH Keywords

long-time behaviorfree boundariesnonlocal-local diffusionsspreading-vanishing

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Free boundary problems for PDEs (35R35) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20) Integro-partial differential equations (35R09)

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Cites Work

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• Two kinds of free boundary problems for the diffusive prey-predator model
• A diffusive logistic equation with a free boundary and sign-changing coefficient in time-periodic environment
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• A free boundary problem for the predator-prey model with double free boundaries
• Dynamics for a diffusive prey-predator model with different free boundaries
• On a free boundary problem for a two-species weak competition system
• The diffusive logistic equation with a free boundary and sign-changing coefficient
• Systems with nonlocal vs. local diffusions and free boundaries
• The dynamics of a Fisher-KPP nonlocal diffusion model with free boundaries
• Free boundary problems for the diffusive competition system in higher dimension with sign-changing coefficients
• A free boundary problem of the ratio-dependent prey-predator model

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