On the minimal Keller-Segel system with logistic growth

DOI10.1016/j.nonrwa.2020.103121zbMath1451.35068OpenAlexW3014078605MaRDI QIDQ2208728

Yanyan Li

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.2020.103121

zbMATH Keywords

global existenceglobal boundednessexplicit uniform-in-time upper bound

Mathematics Subject Classification ID

Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (1)

Boundedness and asymptotic stabilization in a two-dimensional Keller–Segel–Navier–Stokes system with sub-logistic source

Cites Work

• Unnamed Item
• Unnamed Item
• Global dynamics in a fully parabolic chemotaxis system with logistic source
• How far can chemotactic cross-diffusion enforce exceeding carrying capacities?
• Persistence of mass in a chemotaxis system with logistic source
• Exponential attractor for a chemotaxis-growth system of equations
• Blow-up in a higher-dimensional chemotaxis system despite logistic growth restriction
• Initiation of slime mold aggregation viewed as an instability
• Model for chemotaxis
• Boundedness and decay enforced by quadratic degradation in a three-dimensional chemotaxis-fluid system
• An initial-boundary-value problem for a certain density-dependent diffusion system
• Elliptic partial differential equations of second order
• Finite-time blow-up in low-dimensional Keller-Segel systems with logistic-type superlinear degradation
• Existence of traveling wave solutions of parabolic-parabolic chemotaxis systems
• Chemotaxis effect vs. logistic damping on boundedness in the 2-D minimal Keller-Segel model
• How strong a logistic damping can prevent blow-up for the minimal Keller-Segel chemotaxis system?
• Eventual smoothness and asymptotics in a three-dimensional chemotaxis system with logistic source
• Boundedness and global existence in the higher-dimensional parabolic -- parabolic chemotaxis system with/without growth source
• Boundedness in a quasilinear fully parabolic Keller-Segel system of higher dimension with logistic source
• How far does small chemotactic interaction perturb the Fisher-KPP dynamics?
• Boundedness, Stabilization, and Pattern Formation Driven by Density-Suppressed Motility
• Boundedness in the higher-dimensional Keller-Segel model with signal-dependent motility and logistic growth
• Chemotactic Aggregation versus Logistic Damping on Boundedness in the 3D Minimal Keller--Segel Model
• Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
• Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues

This page was built for publication: On the minimal Keller-Segel system with logistic growth