Traveling fronts of the volume-filling chemotaxis model with general kinetics

DOI10.1016/j.amc.2010.04.034zbMath1191.92005OpenAlexW2025502057MaRDI QIDQ984358

Hengsheng Tang, Daoming Yang, Manjun Ma

Publication date: 19 July 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.04.034

zbMATH Keywords

perturbation methodFredholm theoryBanach fixed-point principleexistence of traveling frontsgeneral forms of kineticsvolume-filling chemotaxis models

Mathematics Subject Classification ID

Applications of functional analysis in biology and other sciences (46N60) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17)

Related Items (7)

Traveling wavefronts for a reaction-diffusion-chemotaxis model with volume-filling effect ⋮ New results on traveling waves for the Keller-Segel model with logistic source ⋮ Global Bifurcation of Stationary Solutions for a Volume-Filling Chemotaxis Model with Logistic Growth ⋮ A reaction-diffusion model with nonlinearity driven diffusion ⋮ Wavefront invasion for a volume-filling chemotaxis model with logistic growth ⋮ Pattern formation for a volume-filling chemotaxis model with logistic growth ⋮ Food chain length of a ecological model with prey-taxis

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