Boundedness and asymptotic behavior in a quasilinear chemotaxis system for alopecia areata
From MaRDI portal
Publication:6158270
DOI10.1016/j.nonrwa.2023.103858zbMath1517.35051OpenAlexW4320719845MaRDI QIDQ6158270
Publication date: 20 June 2023
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2023.103858
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)
Related Items
Stability and instability in a three-component chemotaxis model for alopecia areata, Boundedness in a three-component quasilinear chemotaxis system on alopecia areata
Cites Work
- Unnamed Item
- Unnamed Item
- Turing patterns from dynamics of early HIV infection
- Finite-time blowup and global-in-time unbounded solutions to a parabolic-parabolic quasilinear Keller-Segel system in higher dimensions
- Boundedness and blow-up for a chemotaxis system with generalized volume-filling effect and logistic source
- Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
- Attractiveness of constant states in logistic-type Keller-Segel systems involving subquadratic growth restrictions
- Initiation of slime mold aggregation viewed as an instability
- Boundedness and finite-time collapse in a chemotaxis system with volume-filling effect
- Global classical solvability and generic infinite-time blow-up in quasilinear Keller-Segel systems with bounded sensitivities
- Toward predicting the spatio-temporal dynamics of alopecia areata lesions using partial differential equation analysis
- On a quasilinear fully parabolic attraction or repulsion chemotaxis system with nonlinear signal production
- Combined effects of nonlinear proliferation and logistic damping in a three-component chemotaxis system for alopecia areata
- The role of local kinetics in a three-component chemotaxis model for Alopecia areata
- New critical exponents in a fully parabolic quasilinear Keller-Segel system and applications to volume filling models
- Large time behavior in the logistic Keller-Segel model via maximal Sobolev regularity
- Finite-time blowup in a supercritical quasilinear parabolic-parabolic Keller-Segel system in dimension 2
- Global asymptotic stability of constant equilibria in a fully parabolic chemotaxis system with strong logistic dampening
- Boundedness vs. blow-up in a chemotaxis system
- Improvement of conditions for boundedness in a fully parabolic chemotaxis system with nonlinear signal production
- Singularity formation in chemotaxis systems with volume-filling effect
- Equilibration in a fully parabolic two-species chemotaxis system with competitive kinetics
- Finite-time blow-up in a quasilinear system of chemotaxis
- Classical solutions and pattern formation for a volume filling chemotaxis model
- Does a ‘volume-filling effect’ always prevent chemotactic collapse?
- Sub-logistic source can prevent blow-up in the 2D minimal Keller-Segel chemotaxis system
- Global Regularity versus Infinite-Time Singularity Formation in a Chemotaxis Model with Volume-Filling Effect and Degenerate Diffusion
- Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
- Occurrence vs. Absence of Taxis-Driven Instabilities in a May--Nowak Model for Virus Infection
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
- A Chemotaxis System with Logistic Source
- Taxis-driven Formation of Singular Hotspots in a May--Nowak Type Model for Virus Infection
- Dynamics in a Quasilinear Parabolic-Elliptic Keller-Segel System with Generalized Logistic Source and Nonlinear Secretion
- A family of mass‐critical Keller–Segel systems
