Global solvability and asymptotic behavior in a two‐species chemotaxis system with two chemicals

DOI10.1002/mma.8269zbMath1530.92024OpenAlexW4221056732MaRDI QIDQ6066286

Hong-ying Yang, Xinyu Tu, Li Yang

Publication date: 12 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.8269

zbMATH Keywords

weak solutionasymptotic behaviorchemotaxisLotka-Volterra

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Weak solutions to PDEs (35D30) Cell movement (chemotaxis, etc.) (92C17)

Cites Work

• Very weak global solutions to a parabolic-parabolic chemotaxis-system with logistic source
• Boundedness properties of very weak solutions to a fully parabolic chemotaxis-system with logistic source
• Finite-time blow-up in higher dimensional fully-parabolic chemotaxis system for two species
• Global existence and asymptotic properties of the solution to a two-species chemotaxis system
• Boundedness vs. blow-up in a two-species chemotaxis system with two chemicals
• Boundedness and asymptotic stability in a two-species chemotaxis-competition model with signal-dependent sensitivity
• Global boundedness in a two-competing-species chemotaxis system with two chemicals
• Global existence and asymptotic stability in a competitive two-species chemotaxis system with two signals
• Continuous models for cell migration in tissues and applications to cell sorting via differential chemotaxis
• Initiation of slime mold aggregation viewed as an instability
• A user's guide to PDE models for chemotaxis
• On a fully parabolic chemotaxis system with Lotka-Volterra competitive kinetics
• Global stability in a two-competing-species chemotaxis system with two chemicals.
• Global solutions in a high-dimensional two-species chemotaxis model with Lotka-Volterra competitive kinetics
• Global dynamics in a two-species chemotaxis-competition system with two signals
• Boundedness and asymptotic stability of solutions to a two-species chemotaxis system with consumption of chemoattractant
• Boundedness and stabilization in a two-species chemotaxis-competition system with signal-dependent diffusion and sensitivity
• Eventual smoothness and asymptotic behaviour of solutions to a chemotaxis system perturbed by a logistic growth
• Boundedness and stabilization in a two-species chemotaxis system with logistic source
• Keller-Segel chemotaxis models: a review
• A new result for boundedness and stabilization in a two-species chemotaxis system with two chemicals
• Asymptotics in a two-species chemotaxis system with logistic source
• Improvement of conditions for asymptotic stability in a two-species chemotaxis-competition model with signal-dependent sensitivity
• Competitive exclusion in a two-species chemotaxis model
• Eventual smoothness and asymptotics in a three-dimensional chemotaxis system with logistic source
• A note on Aubin-Lions-Dubinskiĭ lemmas
• Improvement of conditions for boundedness in a two-species chemotaxis competition system of parabolic-parabolic-elliptic type
• Boundedness in a three-dimensional two-species chemotaxis system with two chemicals
• Global boundedness of solutions to a two-species chemotaxis system
• Boundedness in a quasilinear fully parabolic Keller-Segel system of higher dimension with logistic source
• Boundedness in a two-species chemotaxis parabolic system with two chemicals
• Global existence, boundedness and stabilization in a high-dimensional chemotaxis system with consumption
• Property of the large densities in a two-species and two-stimuli chemotaxis system with competitive kinetics
• Boundedness in a two-species chemotaxis system
• Global Weak Solutions in a PDE-ODE System Modeling Multiscale Cancer Cell Invasion
• Stabilization in a two-species chemotaxis system with a logistic source
• Large-Data Global Generalized Solutions in a Chemotaxis System with Tensor-Valued Sensitivities
• Remarks on the blowup and global existence for a two species chemotactic Keller–Segel system in²
• 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
• Equilibration In A Two-Species-Two-Chemicals Chemotaxis-Competition System
• Criteria on global boundedness versus finite time blow-up to a two-species chemotaxis system with two chemicals
• On a Two Species Chemotaxis Model with Slow Chemical Diffusion
• Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
• A Chemotaxis System with Logistic Source
• Boundedness and stabilization in a two-species chemotaxis system with two chemicals

This page was built for publication: Global solvability and asymptotic behavior in a two‐species chemotaxis system with two chemicals