Generalized principal eigenvalues for heterogeneous road–field systems

DOI10.1142/S0219199719500135zbMath1431.35072arXiv1810.13180WikidataQ111174138 ScholiaQ111174138MaRDI QIDQ5216654

Luca Rossi, Romain Ducasse, Henri Berestycki

Publication date: 18 February 2020

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.13180

zbMATH Keywords

Harnack inequalityreaction-diffusion systemsline with fast diffusionKPP equationsgeneralized principal eigenvalueroad-field modelsystems of elliptic operators

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Estimates of eigenvalues in context of PDEs (35P15) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Second-order parabolic systems (35K40)

Related Items (6)

Improved bounds for reaction-diffusion propagation driven by a line of nonlocal diffusion ⋮ 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 ⋮ Threshold phenomenon and traveling waves for heterogeneous integral equations and epidemic models

Cites Work

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• The influence of nonlocal exchange terms on Fisher-KPP propagation driven by a line of fast diffusion
• Travelling waves, spreading and extinction for Fisher-KPP propagation driven by a line with fast diffusion
• The shape of expansion induced by a line with fast diffusion in Fisher-KPP equations
• Hitchhiker's guide to the fractional Sobolev spaces
• Caratterizzazioni delle tracce sulla frontiera relative ad alcune classi di funzioni in \(n\) variabili
• Can a species keep pace with a shifting climate?
• A KPP road-field system with spatially periodic exchange terms
• Reaction-diffusion equations for population dynamics with forced speed. I: The case of the whole space
• Liouville-type results for semilinear elliptic equations in unbounded domains
• Functional analysis, Sobolev spaces and partial differential equations
• Multidimensional nonlinear diffusion arising in population genetics
• The influence of a line with fast diffusion on Fisher-KPP propagation
• Speed-up of reaction-diffusion fronts by a line of fast diffusion
• Influence of a road on a population in an ecological niche facing climate change
• Analysis and numerical solution of coupled volume-surface reaction-diffusion systems with application to cell biology
• Diffusion on a curved surface coupled to diffusion in the volume: application to cell biology
• On the principal eigenvalue of elliptic operators in \(\mathbb R^N\) and applications
• Fisher–KPP propagation in the presence of a line: further effects
• The effect of a line with nonlocal diffusion on Fisher-KPP propagation
• Existence of Travelling Waves for a Reaction–Diffusion System with a Line of Fast Diffusion
• Uniform dynamics for Fisher-KPP propagation driven by a line of fast diffusion under a singular limit
• On Harnack's theorem for elliptic differential equations
• The principal eigenvalue and maximum principle for second‐order elliptic operators in general domains
• Influence of the geometry on a field-road model: the case of a conical field
• The Effect on Fisher-KPP Propagation in a Cylinder with Fast Diffusion on the Boundary
• Generalizations and Properties of the Principal Eigenvalue of Elliptic Operators in Unbounded Domains

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