Nonlinear stability of spiky patterns to a chemotaxis-consumption model with signal-dependent motilities
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Publication:6611103
DOI10.1016/j.jde.2024.06.033zbMATH Open1547.35703MaRDI QIDQ6611103
Tianbo Zhang, Jingyu Li, Xu Song
Publication date: 26 September 2024
Published in: Journal of Differential Equations (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Perturbations in context of PDEs (35B20) Cell movement (chemotaxis, etc.) (92C17) Singularity in context of PDEs (35A21)
Cites Work
- Starvation driven diffusion as a survival strategy of biological organisms
- Traveling wave solutions to the density-suppressed motility model
- Comparison methods for a Keller-Segel-type model of pattern formations with density-suppressed motilities
- Model for chemotaxis
- Traveling bands of chemotactic bacteria: a theoretical analysis
- Necessary and sufficient conditions for chemotactic bands
- 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
- Global boundedness of the fully parabolic Keller-Segel system with signal-dependent motilities
- Boundedness and stabilization in the chemotaxis consumption model with signal-dependent motility
- Boundedness of classical solutions to a degenerate Keller-Segel type model with signal-dependent motilities
- Improvement of conditions for boundedness in a chemotaxis consumption system with density-dependent motility
- Global wellposedness of nutrient-taxis systems derived by a food metric
- Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension
- Global dynamics for a chemotaxis consumption system with signal-dependent motility and logistic source
- Global existence and infinite time blow-up of classical solutions to chemotaxis systems of local sensing in higher dimensions
- Global classical solvability in a food metric chemotaxis system under zero boundary conditions at infinity
- Global existence for a class of chemotaxis-consumption systems with signal-dependent motility and generalized logistic source
- Convergence to traveling waves of a singular PDE-ODE hybrid chemotaxis system in the half space
- Global generalized solvability in a strongly degenerate taxis-type parabolic system modeling migration-consumption interaction
- Asymptotic stability of spiky steady states for a singular chemotaxis model with signal-suppressed motility
- Stability of traveling waves of the Keller–Segel system with logarithmic sensitivity
- Chemotactic Traveling Waves by Metric of Food
- A System of Reaction Diffusion Equations Arising in the Theory of Reinforced Random Walks
- On the parabolic‐elliptic Keller–Segel system with signal‐dependent motilities: A paradigm for global boundedness and steady states
- Effects of signal-dependent motilities in a Keller–Segel-type reaction–diffusion system
- Boundary spike‐layer solutions of the singular Keller–Segel system: existence and stability
- Steady states and pattern formation of the density-suppressed motility model
- Global boundedness of solutions to a parabolic–parabolic chemotaxis system with local sensing in higher dimensions
- Critical mass on the Keller-Segel system with signal-dependent motility
- Application of the Moser–Trudinger inequality in the construction of global solutions to a strongly degenerate migration model
- Existence and asymptotic properties of aerotaxis model with the Fokker-Planck type diffusion
- Depleting the signal: Analysis of chemotaxis‐consumption models—A survey
- Stabilization despite pervasive strong cross-degeneracies in a nonlinear diffusion model for migration–consumption interaction
- A quantitative strong parabolic maximum principle and application to a taxis-type migration-consumption model involving signal-dependent degenerate diffusion
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