Global existence for a class of chemotaxis-consumption systems with signal-dependent motility and generalized logistic source
From MaRDI portal
Publication:2208762
DOI10.1016/j.nonrwa.2020.103160zbMath1471.35179OpenAlexW3028722045MaRDI QIDQ2208762
Publication date: 4 November 2020
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2020.103160
Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (17)
Global classical solutions for a class of reaction-diffusion system with density-suppressed motility ⋮ Global boundedness and stability in a density-suppressed motility model with generalized logistic source and nonlinear signal production ⋮ Global generalized solutions for a class of chemotaxis-consumption systems with generalized logistic source ⋮ Boundedness in a two-species chemotaxis system with nonlinear resource consumption ⋮ Existence and asymptotic properties of aerotaxis model with the Fokker-Planck type diffusion ⋮ Global solutions to a chemotaxis-growth system with signal-dependent motilities and signal consumption ⋮ Depleting the signal: Analysis of chemotaxis‐consumption models—A survey ⋮ The role of logistic damping in a class of chemotaxis systems with density-dependent motility and indirect signal absorption ⋮ Global boundedness and large time behavior in a signal-dependent motility system with nonlinear signal consumption ⋮ Predator-prey systems with defense switching and density-suppressed dispersal strategy ⋮ Global boundedness and large time behavior of solutions to a chemotaxis-consumption system with signal-dependent motility ⋮ Improvement of conditions for boundedness in a chemotaxis consumption system with density-dependent motility ⋮ Boundedness and large time behavior for a chemotaxis system with signal-dependent motility and indirect signal consumption ⋮ Weak solutions to a class of signal-dependent motility Keller-Segel systems with superlinear damping ⋮ An n-dimensional chemotaxis system with signal-dependent motility and generalized logistic source: global existence and asymptotic stabilization ⋮ Asymptotic stabilization for a class of chemotaxis-consumption systems with generalized logistic source ⋮ Global dynamics for a chemotaxis consumption system with signal-dependent motility and logistic source
Cites Work
- How far can chemotactic cross-diffusion enforce exceeding carrying capacities?
- Boundedness in a chemotaxis model with oxygen consumption by bacteria
- Free energy and self-interacting particles
- Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
- Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant
- Blow-up in a higher-dimensional chemotaxis system despite logistic growth restriction
- Initiation of slime mold aggregation viewed as an instability
- Dynamic theory of quasilinear parabolic systems. III: Global existence
- Chemotaxis with logistic source: very weak global solutions and their boundedness properties
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- A user's guide to PDE models for chemotaxis
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- Finite-time blow-up in low-dimensional Keller-Segel systems with logistic-type superlinear degradation
- Global existence and aggregation in a Keller-Segel model with Fokker-Planck diffusion
- Renormalized radial large-data solutions to the higher-dimensional Keller-Segel system with singular sensitivity and signal absorption
- Global existence and stabilization in a degenerate chemotaxis-Stokes system with mildly strong diffusion enhancement
- A three-dimensional Keller-Segel-Navier-Stokes system with logistic source: global weak solutions and asymptotic stabilization
- Does fluid interaction affect regularity in the three-dimensional Keller-Segel system with saturated sensitivity?
- Asymptotic homogenization in a three-dimensional nutrient taxis system involving food-supported proliferation
- A chemotaxis system with signal-dependent motility, indirect signal production and generalized logistic source: global existence and asymptotic stabilization
- Global existence for a class of chemotaxis systems with signal-dependent motility, indirect signal production and generalized logistic source
- Eventual smoothness and asymptotics in a three-dimensional chemotaxis system with logistic source
- Analysis of a chemotaxis model with indirect signal absorption
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- Emergence of large population densities despite logistic growth restrictions in fully parabolic chemotaxis systems
- Large time behavior in the logistic Keller-Segel model via maximal Sobolev regularity
- Global asymptotic stability of constant equilibria in a fully parabolic chemotaxis system with strong logistic dampening
- Large time behavior of solutions for density-suppressed motility system in higher dimensions
- A Chemotaxis-Haptotaxis Model: The Roles of Nonlinear Diffusion and Logistic Source
- Boundedness, Stabilization, and Pattern Formation Driven by Density-Suppressed Motility
- Chemotaxis, Reaction, Network
- Boundedness in the higher-dimensional Keller-Segel model with signal-dependent motility and logistic growth
- Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
- Effects of signal-dependent motilities in a Keller–Segel-type reaction–diffusion system
- A Chemotaxis System with Logistic Source
- Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops
This page was built for publication: Global existence for a class of chemotaxis-consumption systems with signal-dependent motility and generalized logistic source
