The Keller-Segel system with logistic growth and signal-dependent motility
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Publication:2033546
DOI10.3934/dcdsb.2020218zbMath1466.35038arXiv2005.11462OpenAlexW3041153017MaRDI QIDQ2033546
Publication date: 17 June 2021
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.11462
Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (14)
Traveling wave solutions to the density-suppressed motility model ⋮ Global existence of a quasilinear chemotaxis model with signal-dependent motility and indirect signal production mechanism ⋮ Global classical solutions for a class of reaction-diffusion system with density-suppressed motility ⋮ Boundedness and exponential stabilization in a parabolic-elliptic Keller-Segel model with signal-dependent motilities for local sensing chemotaxis ⋮ Boundedness in a two-dimensional chemotaxis system with signal-dependent motility and logistic source ⋮ Population dynamics with resource-dependent dispersal: single- and two-species models ⋮ Boundedness of solutions in a predator-prey system with density-dependent motilities and indirect pursuit-evasion interaction ⋮ Global solutions to a chemotaxis-growth system with signal-dependent motilities and signal consumption ⋮ Boundedness and Asymptotic Stability in a Chemotaxis Model with Signal-Dependent Motility and Nonlinear Signal Secretion ⋮ Dynamics for a chemotaxis model with general logistic damping and signal dependent motility ⋮ Boundedness and asymptotic stability in a predator-prey system with density-dependent motilities ⋮ Global boundedness of the fully parabolic Keller-Segel system with signal-dependent motilities ⋮ Logistic damping effect in chemotaxis models with density-suppressed motility ⋮ Asymptotic behaviors and existence of traveling wave solutions to the Keller-Segel model with logarithmic sensitivity
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