Global and exponential stabilization of morphogenesis models with logarithmic sensitivity and linear degradation
From MaRDI portal
Publication:6085064
DOI10.3934/dcds.2023115zbMath1528.35012OpenAlexW4387663835MaRDI QIDQ6085064
Publication date: 2 December 2023
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2023115
Asymptotic behavior of solutions to PDEs (35B40) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global boundedness of solutions in a parabolic-parabolic chemotaxis system with singular sensitivity
- Traveling bands of chemotactic bacteria: a theoretical analysis
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- A user's guide to PDE models for chemotaxis
- Large amplitude stationary solutions to a chemotaxis system
- Locating the peaks of least-energy solutions to a semilinear Neumann problem
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- Mathematics of traveling waves in chemotaxis
- Large-time behavior of a parabolic-parabolic chemotaxis model with logarithmic sensitivity in one dimension
- Spiky and transition layer steady states of chemotaxis systems via global bifurcation and Helly's compactness theorem
- Global solutions of a Keller-Segel system with saturated logarithmic sensitivity function
- Global existence in a chemotaxis system with singular sensitivity and signal production
- Boundary spikes of a Keller-Segel chemotaxis system with saturated logarithmic sensitivity
- Optimal decay rates for a chemotaxis model with logistic growth, logarithmic sensitivity and density-dependent production/consumption rate
- Eventual smoothness and stabilization of global weak solutions in parabolic-elliptic chemotaxis systems with logarithmic sensitivity
- A logarithmic chemotaxis model featuring global existence and aggregation
- A new approach toward boundedness in a two-dimensional parabolic chemotaxis system with singular sensitivity
- Existence and stability of nonconstant positive steady states of morphogenesis models
- Stability of traveling waves of the Keller–Segel system with logarithmic sensitivity
- Global solutions in a fully parabolic chemotaxis system with singular sensitivity
- Mathematical analysis of a model of chemotaxis arising from morphogenesis
- On the shape of least‐energy solutions to a semilinear Neumann problem
- CONVERGENCE OF A CANCER INVASION MODEL TO A LOGISTIC CHEMOTAXIS MODEL
- Qualitative Behavior of Solutions of Chemotactic Diffusion Systems: Effects of Motility and Chemotaxis and Dynamics
- Global and exponential attractor of the repulsive Keller–Segel model with logarithmic sensitivity
- Boundedness of solutions to parabolic-elliptic Keller-Segel systems with signal-dependent sensitivity