Study on a growth-expansion model with chemotaxis in nutrient-replete environments
From MaRDI portal
Publication:6669908
DOI10.1142/S0218202524500520MaRDI QIDQ6669908
Publication date: 22 January 2025
Published in: M\(^3\)AS. Mathematical Models \& Methods in Applied Sciences (Search for Journal in Brave)
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
- Title not available (Why is that?)
- Generalizing the Keller-Segel model: Lyapunov functionals, steady state analysis, and blow-up results for multi-species chemotaxis models in the presence of attraction and repulsion between competitive interacting species
- 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
- Hölder estimates for local solutions of some doubly nonlinear degenerate parabolic equations
- Global stability of prey-taxis systems
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- The effects of nutrient chemotaxis on bacterial aggregation patterns with non-linear degenerate cross diffusion
- From 1970 until present: the Keller-Segel model in chemotaxis and its consequences. II
- Asymptotic homogenization in a three-dimensional nutrient taxis system involving food-supported proliferation
- Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in nutrient-poor environments
- Nonnegative solutions to a doubly degenerate nutrient taxis system
- Global classical solutions for a class of reaction-diffusion system with density-suppressed motility
- Boundedness and asymptotics of a reaction-diffusion system with density-dependent motility
- Boundedness and stabilization in a two-species chemotaxis system with signal absorption
- Boundedness vs. blow-up in a chemotaxis system
- Boundedness in chemotaxis systems with rotational flux terms
- Absence of collapse in a parabolic chemotaxis system with signal-dependent sensitivity
- Large Time Behavior in a Multidimensional Chemotaxis-Haptotaxis Model with Slow Signal Diffusion
- Elliptic Partial Differential Equations of Second Order
- Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision
- Does spatial homogeneity ultimately prevail in nutrient taxis systems? A paradigm for structure support by rapid diffusion decay in an autonomous parabolic flow
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
- Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops
- Depleting the signal: Analysis of chemotaxis‐consumption models—A survey
This page was built for publication: Study on a growth-expansion model with chemotaxis in nutrient-replete environments
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6669908)