Global bifurcation and stability of steady states for a bacterial colony model with density-suppressed motility

DOI10.1016/J.APM.2020.06.024zbMath1481.92089arXiv1902.09751OpenAlexW3037713957MaRDI QIDQ821876

N. E. Zubov

Publication date: 21 September 2021

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.09751

zbMATH Keywords

stability analysisglobal bifurcationreaction-diffusion modeldensity-suppressed motility

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Physiological, cellular and medical topics (92C99) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (3)

Global boundedness and dynamics of a diffusive predator-prey model with modified Leslie-Gower functional response and density-dependent motion ⋮ Nonconstant steady states in a predator-prey system with density-dependent motility ⋮ Boundedness of classical solutions to a degenerate Keller-Segel type model with signal-dependent motilities

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