Global existence, boundedness and asymptotic behavior of classical solutions to a fully parabolic two-species chemotaxis-competition model with singular sensitivity

DOI10.1016/j.jde.2024.02.034MaRDI QIDQ6193751

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Publication date: 19 March 2024

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

asymptotic behaviorboundednesssingular sensitivitychemotaxis system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Population dynamics (general) (92D25) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

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• Blow-up prevention by logistic sources in a parabolic-elliptic Keller-Segel system with singular sensitivity
• Boundedness in a fully parabolic chemotaxis system with singular sensitivity
• Convergence of global and bounded solutions of a two-species chemotaxis model with a logistic source
• Initiation of slime mold aggregation viewed as an instability
• Model for chemotaxis
• Global existence and boundedness in a parabolic-elliptic Keller-Segel system with general sensitivity
• Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
• A user's guide to PDE models for chemotaxis
• A new approach toward stabilization in a two-species chemotaxis model with logistic source
• Global existence and boundedness to a two-species chemotaxis-competition model with singular sensitivity
• Asymptotics in a two-species chemotaxis system with logistic source
• Global generalized solvability in the Keller-Segel system with singular sensitivity and arbitrary superlinear degradation
• Competitive exclusion in a two-species chemotaxis model
• Asymptotic stability of a two species chemotaxis system with non-diffusive chemoattractant
• Global existence of solutions to a fully parabolic chemotaxis system with singular sensitivity and logistic source
• Improvement of conditions for boundedness in a two-species chemotaxis competition system of parabolic-parabolic-elliptic type
• Global boundedness of solutions to a two-species chemotaxis system
• Global boundedness to a chemotaxis system with singular sensitivity and logistic source
• Global existence and boundedness of solutions to a chemotaxis system with singular sensitivity and logistic-type source
• Boundedness to a parabolic-parabolic singular chemotaxis system with logistic source
• Two-species chemotaxis-competition system with singular sensitivity: global existence, boundedness, and persistence
• A new approach toward boundedness in a two-dimensional parabolic chemotaxis system with singular sensitivity
• Boundedness in a two-species chemotaxis system
• Stabilization in a two-species chemotaxis system with a logistic source
• Boundedness and stabilization in a two-species chemotaxis-competition system of parabolic-parabolic-elliptic type
• Equilibration in a fully parabolic two-species chemotaxis system with competitive kinetics
• On the weakly competitive case in a two-species chemotaxis model
• Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
• Finite-Time Blow-Up Prevention by Logistic Source in Parabolic-Elliptic Chemotaxis Models with Singular Sensitivity in Any Dimensional Setting
• Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision
• Boundedness of solutions to parabolic-elliptic Keller-Segel systems with signal-dependent sensitivity
• Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues

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