An attraction-repulsion chemotaxis system with nonlinear productions

DOI10.1016/j.jmaa.2019.123703zbMath1432.92018OpenAlexW2991396335WikidataQ126744115 ScholiaQ126744115MaRDI QIDQ2287300

Miaoqing Tian, Liang Hong, Sining Zheng

Publication date: 20 January 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2019.123703

zbMATH Keywords

boundednesschemotaxisattraction-repulsionlogistic sourcenonlinear production

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17)

Related Items (13)

Combining effects ensuring boundedness in an attraction-repulsion chemotaxis model with production and consumption ⋮ Properties of given and detected unbounded solutions to a class of chemotaxis models ⋮ Global solution of the chemotaxis attraction-repulsion Cauchy problem with the nonlinear signal production in \(\mathbb{R}^N\) ⋮ Boundedness and Asymptotic Stability in a Chemotaxis Model with Signal-Dependent Motility and Nonlinear Signal Secretion ⋮ Global dynamics in a chemotaxis system involving nonlinear indirect signal secretion and logistic source ⋮ Dynamic behavior analysis to a generalized chemotaxis-consumption system ⋮ Global boundedness in a parabolic-parabolic-elliptic attraction-repulsion chemotaxis system with nonlinear productions ⋮ Asymptotic behavior in an attraction-repulsion chemotaxis system with nonlinear productions ⋮ Global attractors in a two-species chemotaxis system with two chemicals and logistic sources ⋮ Finite-time blowup in attraction-repulsion systems with nonlinear signal production ⋮ Global boundedness in a quasilinear two-species attraction-repulsion chemotaxis system with two chemicals ⋮ A blow-up result for attraction-repulsion system with nonlinear signal production and generalized logistic source ⋮ Boundedness of solutions in a quasilinear chemo-repulsion system with nonlinear signal production

Cites Work

• Unnamed Item
• Global boundedness in quasilinear attraction-repulsion chemotaxis system with logistic source
• On a parabolic-elliptic system with chemotaxis and logistic type growth
• Global solutions and exponential attractors of a parabolic-parabolic system for chemotaxis with subquadratic degradation
• Global existence of solutions to a parabolic-parabolic system for chemotaxis with weak degradation
• Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
• On a new dimension estimate of the global attractor for chemotaxis-growth systems
• Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
• A user's guide to PDE models for chemotaxis
• From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
• Mathematical biology. Vol. 1: An introduction.
• From 1970 until present: the Keller-Segel model in chemotaxis and its consequences. II
• Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with logistic source
• Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
• Boundedness vs. blow-up in a chemotaxis system
• L^PBounds of solutions of reaction-diffusion equations
• On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis
• A Chemotaxis System with Logistic Source

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