Boundedness in a quasilinear chemotaxis-haptotaxis model of parabolic-parabolic-ODE type (Q2108363)

scientific article; zbMATH DE number 7634282

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English	Boundedness in a quasilinear chemotaxis-haptotaxis model of parabolic-parabolic-ODE type	scientific article; zbMATH DE number 7634282

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instance of

scholarly article

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title

Boundedness in a quasilinear chemotaxis-haptotaxis model of parabolic-parabolic-ODE type (English)

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Boundary Value Problems

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publication date

19 December 2022

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zbMATH Keywords

chemotaxis

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haptotaxis

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nonlinear diffusion

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boundedness

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logistic source

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nonlinear production

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1186/s13661-019-1255-4

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cites work

L<sup>P</sup>Bounds of solutions of reaction-diffusion equations

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Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with logistic source

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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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CONVERGENCE OF A CANCER INVASION MODEL TO A LOGISTIC CHEMOTAXIS MODEL

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Boundedness in a parabolic-elliptic chemotaxis-growth system under a critical parameter condition

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Boundedness in quasilinear Keller-Segel systems of parabolic-parabolic type on non-convex bounded domains

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Initiation of slime mold aggregation viewed as an instability

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Boundedness in a chemotaxis-haptotaxis model with nonlinear diffusion

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Boundedness in a chemotaxis system with nonlinear signal production

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Positive solutions to the unstirred chemostat model with Crowley-Martin functional response

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Nondegeneracy of blow-up points for the parabolic Keller-Segel system

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Exponential attractor for a chemotaxis-growth system of equations

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Q4659860

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Boundedness of solutions to a quasilinear parabolic-parabolic chemotaxis model with nonlinear signal production

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

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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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Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity

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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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Boundedness and stabilization in a multi-dimensional chemotaxis—haptotaxis model

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Dominance of chemotaxis in a chemotaxis–haptotaxis model

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

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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 a multi-dimensional chemotaxis-haptotaxis model with nonlinear diffusion

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Large time behavior of solution to a fully parabolic chemotaxis-haptotaxis model in higher dimensions

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Boundedness in a quasilinear fully parabolic Keller-Segel system with logistic source

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Does a ‘volume-filling effect’ always prevent chemotactic collapse?

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

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Blow-up in a higher-dimensional chemotaxis system despite logistic growth restriction

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A critical blow-up exponent in a chemotaxis system with nonlinear signal production

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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 finite-time collapse in a chemotaxis system with volume-filling effect

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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 parabolic-parabolic Keller-Segel system with a logistic source

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Boundedness of solutions to a quasilinear parabolic-elliptic Keller-Segel system with logistic source

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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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A note on boundedness of solutions to a higher‐dimensional quasi–linear chemotaxis system with 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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Boundedness of solutions in a chemotaxis system with nonlinear sensitivity and logistic source

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On the boundedness and decay of solutions for a chemotaxis-haptotaxis system with nonlinear diffusion

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Boundedness in a fully parabolic chemotaxis system with logistic-type source and nonlinear production

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Identifiers

Mathematics Subject Classification ID

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10.1186/S13661-019-1255-4

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Sitelinks

Mathematics(1 entry)

mardi Publication:2108363