Boundedness and stabilization in the chemotaxis consumption model with signal-dependent motility
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Publication:2046488
DOI10.1007/s00033-021-01601-yzbMath1471.92063OpenAlexW3192998624MaRDI QIDQ2046488
Liangchen Wang, Xu Pan, Xue Li
Publication date: 18 August 2021
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-021-01601-y
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Cell movement (chemotaxis, etc.) (92C17)
Related Items (7)
Boundedness in a two-species chemotaxis system with nonlinear resource consumption ⋮ Existence and asymptotic properties of aerotaxis model with the Fokker-Planck type diffusion ⋮ Boundedness of classical solutions to a chemotaxis consumption system with signal dependent motility and logistic source ⋮ Depleting the signal: Analysis of chemotaxis‐consumption models—A survey ⋮ Global boundedness and large time behavior in a signal-dependent motility system with nonlinear signal consumption ⋮ Improvement of conditions for boundedness in a chemotaxis consumption system with density-dependent motility ⋮ Global dynamics for a chemotaxis consumption system with signal-dependent motility and logistic source
Cites Work
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- Boundedness in a chemotaxis model with oxygen consumption by bacteria
- Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant
- Traveling bands of chemotactic bacteria: a theoretical analysis
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- Global existence and aggregation in a Keller-Segel model with Fokker-Planck diffusion
- Global boundedness and large time behavior of solutions to a chemotaxis-consumption system with signal-dependent motility
- A new result for boundedness and stabilization in a two-species chemotaxis system with two chemicals
- Global existence for a kinetic model of pattern formation with density-suppressed motilities
- On the generalized Apostol-type Frobenius-Euler polynomials
- Global existence, boundedness and stabilization in a high-dimensional chemotaxis system with consumption
- On the global existence of solutions to an aggregation model
- Boundedness vs. blow-up in a chemotaxis system
- Large time behavior of solutions for density-suppressed motility system in higher dimensions
- The two-dimensional Keller–Segel system with singular sensitivity and signal absorption: Global large-data solutions and their relaxation properties
- Stabilization and convergence rate in a chemotaxis system with consumption of chemoattractant
- Large-Data Global Generalized Solutions in a Chemotaxis System with Tensor-Valued Sensitivities
- Boundedness in chemotaxis systems with rotational flux terms
- Equilibration in a fully parabolic two-species chemotaxis system with competitive kinetics
- Boundedness, Stabilization, and Pattern Formation Driven by Density-Suppressed Motility
- Effects of signal-dependent motilities in a Keller–Segel-type reaction–diffusion system
- Global small-data solutions of a two-dimensional chemotaxis system with rotational flux terms
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
- Boundedness of classical solutions for a chemotaxis model with rotational flux terms
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