Qualitative behavior of solutions for a chemotaxis-haptotaxis system with gradient-dependent flux-limitation
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Publication:6549360
DOI10.1080/00036811.2022.2158820zbMATH Open1542.92022MaRDI QIDQ6549360
[[Person:6549359|Author name not available (Why is that?)]], Hui Wang
Publication date: 3 June 2024
Published in: Applicable Analysis (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Cell movement (chemotaxis, etc.) (92C17)
Cites Work
- Title not available (Why is that?)
- Global existence for a degenerate haptotaxis model of cancer invasion
- Global existence for a haptotaxis model of cancer invasion with tissue remodeling
- A mathematical model for lymphangiogenesis in normal and diabetic wounds
- Initiation of slime mold aggregation viewed as an instability
- Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- A user's guide to PDE models for chemotaxis
- Boundedness and finite-time collapse in a chemotaxis system with volume-filling effect
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- Elliptic partial differential equations of second order
- On a parabolic-elliptic system with gradient dependent chemotactic coefficient
- Suppression of blow up by a logistic source in 2D Keller-Segel system with fractional dissipation
- Mathematical modelling of cancer cell invasion of tissue: local and non-local models and the effect of adhesion
- Boundedness of solutions to a quasilinear chemotaxis-haptotaxis model
- Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes system
- Blow-up phenomena for a chemotaxis system with flux limitation
- A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy
- Boundedness in a chemotaxis-haptotaxis model with gradient-dependent flux limitation
- Extensibility criterion ruling out gradient blow-up in a quasilinear degenerate chemotaxis system with flux limitation
- A chemotaxis-haptotaxis system with haptoattractant remodeling: boundedness enforced by mild saturation of signal production
- Boundedness vs. blow-up in a chemotaxis system
- Conditional estimates in three-dimensional chemotaxis-Stokes systems and application to a Keller-Segel-fluid model accounting for gradient-dependent flux limitation
- Radially symmetric solutions for a Keller-Segel system with flux limitation and nonlinear diffusion
- Boundedness in a chemotaxis-haptotaxis model with nonlinear diffusion
- Boundedness and stabilization in a multi-dimensional chemotaxis—haptotaxis model
- A degenerate chemotaxis system with flux limitation: Maximally extended solutions and absence of gradient blow-up
- ASYMPTOTIC BEHAVIOR OF GLOBAL SOLUTIONS TO A MODEL OF CELL INVASION
- On the Neumann problem with L1data
- Large Time Behavior in a Multidimensional Chemotaxis-Haptotaxis Model with Slow Signal Diffusion
- A Combined Chemotaxis-haptotaxis System: The Role of Logistic Source
- Global Existence of Classical Solutions for a Haptotaxis Model
- MATHEMATICAL MODELLING OF CANCER INVASION OF TISSUE: THE ROLE AND EFFECT OF NONLOCAL INTERACTIONS
- On a parabolic-parabolic system with gradient dependent chemotactic coefficient and consumption
- Blow up of solutions for a Parabolic-Elliptic chemotaxis system with gradient dependent chemotactic coefficient
- A critical blow-up exponent for flux limiation in a Keller-Segel system
- On effects of the nonlinear signal production to the boundedness and finite-time blow-up in a flux-limited chemotaxis model
- Dominance of chemotaxis in a chemotaxis–haptotaxis model
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
- Finite-time blow-up in a degenerate chemotaxis system with flux limitation
- On a doubly nonlinear diffusion model of chemotaxis with prevention of overcrowding
- MATHEMATICAL MODELLING OF CANCER CELL INVASION OF TISSUE: THE ROLE OF THE UROKINASE PLASMINOGEN ACTIVATION SYSTEM
- Asymptotic stability of spatial homogeneity in a haptotaxis model for oncolytic virotherapy
- Blowup of nonradial solutions to parabolic-elliptic systems modeling chemotaxis in two-dimensional domains
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