Pulsating semi-waves in periodic media and spreading speed determined by a free boundary model

DOI10.1016/j.anihpc.2013.11.004zbMath1321.35263OpenAlexW1986277771MaRDI QIDQ2347863

Yihong Du, Xing Liang

Publication date: 10 June 2015

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.anihpc.2013.11.004

zbMATH Keywords

free boundarydiffusive logistic equationspreading speedperiodic enviromentpulsating semi-wave

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Free boundary problems for PDEs (35R35) General biology and biomathematics (92B05)

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Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Stefan problem for the Fisher-KPP equation
• Spreading-vanishing dichotomy in a diffusive logistic model with a free boundary, II
• Traveling waves in time dependent bistable equations.
• Uniqueness and stability properties of monostable pulsating fronts
• The principal eigenvalue of a space-time periodic parabolic operator
• Spreading speeds and traveling waves for abstract monostable evolution systems
• Existence and uniqueness of the solution of a space-time periodic reaction-diffusion equation
• Asymptotic spreading in heterogeneous diffusive excitable media
• The speed of propagation for KPP type problems. I: Periodic framework
• On spreading speeds and traveling waves for growth and migration models in a periodic habitat
• Spreading speed revisited: analysis of a free boundary model
• A diffusive logistic model with a free boundary in time-periodic environment
• Analysis of the periodically fragmented environment model. I: Species persistence
• Analysis of the periodically fragmented environment model. II: Biological invasions and pulsating travelling fronts
• Erratum: Spreading-Vanishing Dichotomy in the Diffusive Logistic Model with a Free Boundary
• Front propagation in periodic excitable media
• Remarks on the uniqueness problem for the logistic equation on the entire space

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