Bacterial chemotaxis without gradient-sensing

DOI10.1007/s00285-014-0790-yzbMath1339.92012arXiv1307.6071OpenAlexW1969861965WikidataQ51083366 ScholiaQ51083366MaRDI QIDQ2339975

Changwook Yoon, Yong-Jung Kim

Publication date: 14 April 2015

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.6071

zbMATH Keywords

phase plane analysischemotaxistraveling wavesKeller-Segel equationstarvation driven diffusion

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17) Traveling wave solutions (35C07) Methods of ordinary differential equations applied to PDEs (35A24) Quasilinear parabolic equations (35K59)

Related Items (15)

Global bifurcation and stability of steady states for a bacterial colony model with density-suppressed motility ⋮ Existence and metastability of non-constant steady states in a Keller-Segel model with density-suppressed motility ⋮ Chemotactic Traveling Waves by Metric of Food ⋮ Boundedness, Stabilization, and Pattern Formation Driven by Density-Suppressed Motility ⋮ Chemotactic traveling waves with compact support ⋮ Global existence and aggregation in a Keller-Segel model with Fokker-Planck diffusion ⋮ Existence and asymptotic properties of aerotaxis model with the Fokker-Planck type diffusion ⋮ Global boundedness and dynamics of a diffusive predator-prey model with modified Leslie-Gower functional response and density-dependent motion ⋮ Modeling bacterial traveling wave patterns with exact cross-diffusion and population growth ⋮ Unnamed Item ⋮ Evolution of dispersal toward fitness ⋮ A discrete velocity kinetic model with food metric: chemotaxis traveling waves ⋮ A continuous-time stochastic model of cell motion in the presence of a chemoattractant ⋮ A logarithmic chemotaxis model featuring global existence and aggregation ⋮ Diffusion of Biological Organisms: Fickian and Fokker--Planck Type Diffusions

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