Logistic damping effect in chemotaxis models with density-suppressed motility
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Publication:2081364
DOI10.1515/anona-2022-0263zbMath1505.35043arXiv2111.11669OpenAlexW3215566709MaRDI QIDQ2081364
Publication date: 12 October 2022
Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.11669
asymptotic behaviorglobal boundednesslogistic sourceelliptic-parabolic systemdensity-suppressed motility
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with biology, chemistry and other natural sciences (35Q92) A priori estimates in context of PDEs (35B45) Comparison principles in context of PDEs (35B51) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)
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Cites Work
- Free energy and self-interacting particles
- Hölder estimates for local solutions of some doubly nonlinear degenerate parabolic equations
- Exponential attractor for a chemotaxis-growth system of equations
- Blow-up in a higher-dimensional chemotaxis system despite logistic growth restriction
- Comparison methods for a Keller-Segel-type model of pattern formations with density-suppressed motilities
- Attractiveness of constant states in logistic-type Keller-Segel systems involving subquadratic growth restrictions
- Model for chemotaxis
- A user's guide to PDE models for chemotaxis
- Infinite-dimensional dynamical systems in mechanics and physics
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- Global existence and aggregation in a Keller-Segel model with Fokker-Planck diffusion
- Traveling wave solutions for a bacteria system with density-suppressed motility
- The Keller-Segel system with logistic growth and signal-dependent motility
- Global boundedness of the fully parabolic Keller-Segel system with signal-dependent motilities
- Asymptotic behavior of a quasilinear Keller-Segel system with signal-suppressed motility
- Boundedness of classical solutions to a degenerate Keller-Segel type model with signal-dependent motilities
- Global existence for a class of Keller-Segel models with signal-dependent motility and general logistic term
- Global classical solutions for a class of reaction-diffusion system with density-suppressed motility
- Global existence for a kinetic model of pattern formation with density-suppressed motilities
- Boundedness and asymptotics of a reaction-diffusion system with density-dependent motility
- Stationary and non-stationary patterns of the density-suppressed motility model
- On the Lotka-Volterra competition system with dynamical resources and density-dependent diffusion
- A logarithmic chemotaxis model featuring global existence and aggregation
- Boundedness and global existence in the higher-dimensional parabolic -- parabolic chemotaxis system with/without growth source
- Large time behavior of solutions for density-suppressed motility system in higher dimensions
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
- LPBounds of solutions of reaction-diffusion equations
- Chemotaxis, Reaction, Network
- Boundedness in the higher-dimensional Keller-Segel model with signal-dependent motility and logistic growth
- Pattern formation in bacterial colonies with density-dependent diffusion
- Global well-posedness and stability of constant equilibria in parabolic–elliptic chemotaxis systems without gradient sensing
- Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
- 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
- An n-dimensional chemotaxis system with signal-dependent motility and generalized logistic source: global existence and asymptotic stabilization
- Delayed blow‐up for chemotaxis models with local sensing
- Global existence, uniform boundedness, and stabilization in a chemotaxis system with density-suppressed motility and nutrient consumption
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
- A Chemotaxis System with Logistic Source
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
