A KPP road-field system with spatially periodic exchange terms

DOI10.1016/j.na.2015.07.021zbMath1335.35118arXiv1504.02028OpenAlexW810113250MaRDI QIDQ888871

Thomas Giletti, Léonard Monsaingeon, Maolin Zhou

Publication date: 2 November 2015

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.02028

zbMATH Keywords

reaction-diffusion systemsasymptotic spreading speedgeneralized principal eigenvalues

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57)

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Using effective boundary conditions to model fast diffusion on a road in a large field ⋮ The field-road diffusion model: fundamental solution and asymptotic behavior ⋮ Influence of a road on a population in an ecological niche facing climate change ⋮ Propagation for KPP bulk-surface systems in a general cylindrical domain ⋮ Spreading speeds and pulsating fronts for a field-road model in a spatially periodic habitat ⋮ Generalized principal eigenvalues for heterogeneous road–field systems ⋮ Threshold phenomenon and traveling waves for heterogeneous integral equations and epidemic models

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