Critical mass for infinite-time blow-up in a haptotaxis system with nonlinear zero-order interaction
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Publication:2229257
DOI10.3934/dcds.2020216zbMath1458.35076OpenAlexW3024178339MaRDI QIDQ2229257
Publication date: 22 February 2021
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2020216
Reaction-diffusion equations (35K57) Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)
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Cites Work
- Boundedness in a three-dimensional chemotaxis-haptotaxis model
- Global existence for a degenerate haptotaxis model of cancer invasion
- Boundedness in the higher-dimensional chemotaxis-haptotaxis model with nonlinear diffusion
- Global existence of classical solutions to a combined chemotaxis-haptotaxis model with logistic source
- Singular structure formation in a degenerate haptotaxis model involving myopic diffusion
- Global weak solutions to a strongly degenerate haptotaxis model
- Stability of solutions of chemotaxis equations in reinforced random walks
- A chemotaxis model motivated by angiogenesis
- A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy
- Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy
- Multiscale modelling of cancer response to oncolytic viral therapy
- A chemotaxis-haptotaxis system with haptoattractant remodeling: boundedness enforced by mild saturation of signal production
- Energy-type estimates and global solvability in a two-dimensional chemotaxis-haptotaxis model with remodeling of non-diffusible attractant
- Boundedness in a chemotaxis–haptotaxis model with nonlinear diffusion
- Global Weak Solutions in a PDE-ODE System Modeling Multiscale Cancer Cell Invasion
- ASYMPTOTIC BEHAVIOR OF GLOBAL SOLUTIONS TO A MODEL OF CELL INVASION
- Large Time Behavior in a Multidimensional Chemotaxis-Haptotaxis Model with Slow Signal Diffusion
- BOUNDEDNESS OF SOLUTIONS OF A HAPTOTAXIS MODEL
- A Combined Chemotaxis-haptotaxis System: The Role of Logistic Source
- Global Existence of Classical Solutions for a Haptotaxis Model
- Global boundedness of solutions to a chemotaxis–haptotaxis model with tissue remodeling
- A strongly degenerate diffusion‐haptotaxis model of tumour invasion under the go‐or‐grow dichotomy hypothesis
- Effective equations for anisotropic glioma spread with proliferation: a multiscale approach and comparisons with previous settings
- Mathematical Analysis of a Model for the Initiation of Angiogenesis
- CONVERGENCE OF A CANCER INVASION MODEL TO A LOGISTIC CHEMOTAXIS MODEL
- Dominance of chemotaxis in a chemotaxis–haptotaxis model
- GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR OF A TUMOR ANGIOGENESIS MODEL WITH CHEMOTAXIS AND HAPTOTAXIS
- MATHEMATICAL MODELLING OF CANCER CELL INVASION OF TISSUE: THE ROLE OF THE UROKINASE PLASMINOGEN ACTIVATION SYSTEM
- Mathematical modeling of the onset of capillary formation initiating angiogenesis