Homogenization and influence of fragmentation in a biological invasion model

DOI10.3934/dcds.2009.25.321zbMath1179.35047arXiv0907.4951OpenAlexW2066461498WikidataQ56770511 ScholiaQ56770511MaRDI QIDQ841377

N. E. Zubov

Publication date: 16 September 2009

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

Full work available at URL: https://arxiv.org/abs/0907.4951

zbMATH Keywords

periodic mediaone space dimensionFisher-KPP frontspulsating frontsminimal speeds

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Reaction-diffusion equations (35K57) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) General biology and biomathematics (92B05)

Related Items (12)

Propagation of CaMKII translocation waves in heterogeneous spiny dendrites ⋮ Determining the optimal coefficient of the spatially periodic Fisher-KPP equation that minimizes the spreading speed ⋮ Bistable pulsating wave of a competition model in rapidly varying media and its homogenization limit ⋮ Uniqueness and stability properties of monostable pulsating fronts ⋮ Qualitative properties of monostable pulsating fronts: Exponential decay and monotonicity ⋮ Effects of environmental heterogeneity on species spreading via numerical analysis of some free boundary models ⋮ An inverse problem involving two coefficients in a nonlinear reaction-diffusion equation ⋮ Two-dimensional curved fronts in a periodic shear flow ⋮ Spreading speeds in slowly oscillating environments ⋮ Asymptotics of the KPP minimal speed within large drift ⋮ The non-monotonicity of the KPP speed with respect to diffusion in the presence of a shear flow ⋮ Min-Max formulae for the speeds of pulsating travelling fronts in periodic excitable media

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