Fisher-KPP equations and applications to a model in medical sciences

DOI10.3934/nhm.2018006zbMath1405.35086OpenAlexW2429419298WikidataQ130129626 ScholiaQ130129626MaRDI QIDQ1713376

Benjamin Contri

Publication date: 24 January 2019

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/nhm.2018006

zbMATH Keywords

principal eigenvaluereaction-diffusion equationpulsating frontspreading speedKPP nonlinearitymedical models

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Traveling wave solutions (35C07)

Related Items (3)

Fisher–KPP equation on the Heisenberg group ⋮ On Fisher's equation with the fractionalp‐Laplacian ⋮ On a Reaction-Cross-Diffusion System Modeling the Growth of Glioblastoma

Cites Work

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• The principal eigenvalue of a space-time periodic parabolic operator
• Bistable traveling waves for monotone semiflows with applications
• Existence of KPP fronts in spatially-temporally periodic advection and variational principle for propagation speeds
• Traveling fronts in space-time periodic media
• Spreading speeds and traveling waves for abstract monostable evolution systems
• Existence and uniqueness of the solution of a space-time periodic reaction-diffusion equation
• Traveling periodic waves in heterogeneous environments
• Existence of planar flame fronts in convective-diffusive periodic media
• The approach of solutions of nonlinear diffusion equations to travelling front solutions
• Multidimensional nonlinear diffusion arising in population genetics
• 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
• Traveling waves in time almost periodic structures governed by bistable nonlinearities. I: Stability and Uniqueness
• Traveling waves in time almost periodic structures governed by bistable nonlinearities. II: Existence
• Elliptic eigenvalue problems with large drift and applications to nonlinear propagation phenomena
• Traveling waves and spreading speeds for time-space periodic monotone systems
• Analysis of the periodically fragmented environment model. I: Species persistence
• Analysis of the periodically fragmented environment model. II: Biological invasions and pulsating travelling fronts
• Asymptotic speeds of spread and traveling waves for monotone semiflows with applications
• Front Propagation in Heterogeneous Media
• Front propagation in periodic excitable media
• Bistable pulsating fronts for reaction-diffusion equations in a periodic habitat
• Pulsating fronts for bistable on average reaction-diffusion equations in a time periodic environment

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