A new result for 2D boundedness of solutions to a chemotaxis–haptotaxis model with/without sub-logistic source (Q5243473)

scientific article; zbMATH DE number 7131173

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English	A new result for 2D boundedness of solutions to a chemotaxis–haptotaxis model with/without sub-logistic source	scientific article; zbMATH DE number 7131173

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instance of

scholarly article

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title

A new result for 2D boundedness of solutions to a chemotaxis–haptotaxis model with/without sub-logistic source (English)

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18 November 2019

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full work available at URL

https://arxiv.org/abs/1909.04577

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zbMATH Keywords

chemotaxis

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haptotaxis

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sub-logistic source

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boundedness

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MaRDI profile type

MaRDI publication profile

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cites work

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Global bounded solutions of the higher-dimensional Keller-Segel system under smallness conditions in optimal spaces

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Boundedness in a three-dimensional chemotaxis-haptotaxis model

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MATHEMATICAL MODELLING OF CANCER CELL INVASION OF TISSUE: THE ROLE OF THE UROKINASE PLASMINOGEN ACTIVATION SYSTEM

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Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity

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Blow-up prevention by logistic sources in a parabolic-elliptic Keller-Segel system with singular sensitivity

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From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I

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Boundedness and global solvability to a chemotaxis-haptotaxis model with slow and fast diffusion

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Boundedness and exponential convergence in a chemotaxis model for tumor invasion

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Chemotaxis effect vs. logistic damping on boundedness in the 2-D minimal Keller-Segel model

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Blowup and global solutions in a chemotaxis-growth system

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A note for global existence of a two-dimensional chemotaxis–haptotaxis model with remodeling of non-diffusible attractant

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Initiation of slime mold aggregation viewed as an instability

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Q5562267

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Boundedness in a chemotaxis–haptotaxis model with nonlinear diffusion

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Global dynamics in a fully parabolic chemotaxis system with logistic source

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NONLINEAR STABILITY OF LARGE AMPLITUDE VISCOUS SHOCK WAVES OF A GENERALIZED HYPERBOLIC–PARABOLIC SYSTEM ARISING IN CHEMOTAXIS

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Zero Mach number limit of the compressible Hall-magnetohydrodynamic equations

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BOUNDEDNESS OF SOLUTIONS OF A HAPTOTAXIS MODEL

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Local existence and uniqueness of regular solutions in a model of tissue invasion by solid tumours

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Exponential attractor for a chemotaxis-growth system of equations

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Global existence of a two-dimensional chemotaxis-haptotaxis model with remodeling of non-diffusible attractant

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Global boundedness of solutions to a chemotaxis–haptotaxis model with tissue remodeling

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Asymptotic behavior of solutions to a tumor angiogenesis model with chemotaxis–haptotaxis

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Global existence of classical solutions to a combined chemotaxis-haptotaxis model with logistic source

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Global existence for a haptotaxis model of cancer invasion with tissue remodeling

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Global solution for a chemotactic–haptotactic model of cancer invasion

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A Combined Chemotaxis-haptotaxis System: The Role of Logistic Source

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A Chemotaxis-Haptotaxis Model: The Roles of Nonlinear Diffusion and Logistic Source

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Dominance of chemotaxis in a chemotaxis–haptotaxis model

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Energy-type estimates and global solvability in a two-dimensional chemotaxis-haptotaxis model with remodeling of non-diffusible attractant

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Large Time Behavior in a Multidimensional Chemotaxis-Haptotaxis Model with Slow Signal Diffusion

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Boundedness and decay enforced by quadratic degradation in a three-dimensional chemotaxis-fluid system

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A chemotaxis-haptotaxis system with haptoattractant remodeling: boundedness enforced by mild saturation of signal production

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Q5453781

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A Chemotaxis System with Logistic Source

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Global Existence of Classical Solutions for a Haptotaxis Model

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Boundedness in a parabolic-parabolic quasilinear chemotaxis system with logistic source

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Boundedness in the higher-dimensional chemotaxis-haptotaxis model with nonlinear diffusion

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Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source

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Finite-time blow-up in low-dimensional Keller-Segel systems with logistic-type superlinear degradation

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Boundedness and global existence in the higher-dimensional parabolic -- parabolic chemotaxis system with/without growth source

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How strong a logistic damping can prevent blow-up for the minimal Keller-Segel chemotaxis system?

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Sub-logistic source can prevent blow-up in the 2D minimal Keller-Segel chemotaxis system

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Chemotactic Aggregation versus Logistic Damping on Boundedness in the 3D Minimal Keller--Segel Model

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Dynamics in a parabolic-elliptic chemotaxis system with growth source and nonlinear secretion

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Boundedness of solutions to a quasilinear higher-dimensional chemotaxis-haptotaxis model with nonlinear diffusion

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Boundedness of the solution of a higher-dimensional parabolic–ODE–parabolic chemotaxis–haptotaxis model with generalized logistic source

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Large time behavior of solutions to a fully parabolic chemotaxis-haptotaxis model in \(N\) dimensions

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A new result for global existence and boundedness of solutions to a parabolic-parabolic Keller-Segel system with logistic source

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Identifiers

zbMATH Open document ID

1425.35110

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DOI

10.1088/1361-6544/ab41d5

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5243473