Global boundedness in a three-dimensional chemotaxis-haptotaxis model
From MaRDI portal
Publication:2203941
DOI10.1016/j.camwa.2018.12.030zbMath1442.92015OpenAlexW2908363434MaRDI QIDQ2203941
Publication date: 2 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2018.12.030
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17)
Related Items (8)
Global weak solutions in a three-dimensional two-species cancer invasion haptotaxis model without cell proliferation ⋮ Finite time blow-up in the higher dimensional parabolic-elliptic-ODE minimal chemotaxis-haptotaxis system ⋮ Boundedness of solutions to a chemotaxis-haptotaxis model with nonlocal terms ⋮ Negligibility of haptotaxis effect in a chemotaxis–haptotaxis model ⋮ Asymptotic stability in a quasilinear chemotaxis-haptotaxis model with general logistic source and nonlinear signal production ⋮ Blow-up phenomena of a cancer invasion model with nonlinear diffusion and haptotaxis term ⋮ Optimal control for a chemotaxis-haptotaxis model in two space dimensions ⋮ A New Result for Global Solvability of a Two Species Cancer Invasion Haptotaxis Model with Tissue Remodeling
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Boundedness in a three-dimensional chemotaxis-haptotaxis model
- Global dynamics in a fully parabolic chemotaxis system with logistic source
- Boundedness in a parabolic-parabolic quasilinear chemotaxis system with logistic source
- Global existence and boundedness of classical solutions for a chemotaxis model with logistic source
- Nondegeneracy of blow-up points for the parabolic Keller-Segel system
- A stochastic multiscale model for acid mediated cancer invasion
- Global bounded solutions of the higher-dimensional Keller-Segel system under smallness conditions in optimal spaces
- Persistence of mass in a chemotaxis system with logistic source
- Global existence for a haptotaxis model of cancer invasion with tissue remodeling
- Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
- Blow-up for a three dimensional Keller-Segel model with consumption of chemoattractant
- Exponential attractor for a chemotaxis-growth system of equations
- Blow-up in a higher-dimensional chemotaxis system despite logistic growth restriction
- Large time behavior of solution to an attraction-repulsion chemotaxis system with logistic source in three dimensions
- Initiation of slime mold aggregation viewed as an instability
- Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity
- Boundedness in the higher-dimensional chemotaxis-haptotaxis model with nonlinear diffusion
- Boundedness and decay enforced by quadratic degradation in a three-dimensional chemotaxis-fluid system
- Chemotaxis with logistic source: very weak global solutions and their boundedness properties
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- Global existence of classical solutions to a combined chemotaxis-haptotaxis model with logistic source
- Boundedness and finite-time collapse in a chemotaxis system with volume-filling effect
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- Convergence rate estimates of a two-species chemotaxis system with two indirect signal production and logistic source in three dimensions
- Boundedness in quasilinear Keller-Segel systems of parabolic-parabolic type on non-convex bounded domains
- Energy-type estimates and global solvability in a two-dimensional chemotaxis-haptotaxis model with remodeling of non-diffusible attractant
- Global asymptotic stability of constant equilibria in a fully parabolic chemotaxis system with strong logistic dampening
- Boundedness vs. blow-up in a chemotaxis system
- Singularity patterns in a chemotaxis model
- Blow-up in a chemotaxis model without symmetry assumptions
- Boundedness in a chemotaxis–haptotaxis model with nonlinear diffusion
- Global Weak Solutions in a PDE-ODE System Modeling Multiscale Cancer Cell Invasion
- Boundedness and stabilization in a multi-dimensional chemotaxis—haptotaxis model
- ASYMPTOTIC BEHAVIOR OF GLOBAL SOLUTIONS TO A MODEL OF CELL INVASION
- Absence of collapse in a parabolic chemotaxis system with signal-dependent sensitivity
- Large Time Behavior in a Multidimensional Chemotaxis-Haptotaxis Model with Slow Signal Diffusion
- ON THE FOUNDATIONS OF CANCER MODELLING: SELECTED TOPICS, SPECULATIONS, AND PERSPECTIVES
- 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
- LPBounds of solutions of reaction-diffusion equations
- Boundedness and large time behavior in a quasilinear chemotaxis model for tumor invasion
- CONVERGENCE OF A CANCER INVASION MODEL TO A LOGISTIC CHEMOTAXIS MODEL
- Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
- Dominance of chemotaxis in a chemotaxis–haptotaxis model
- A Chemotaxis System with Logistic Source
- GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR OF A TUMOR ANGIOGENESIS MODEL WITH CHEMOTAXIS AND HAPTOTAXIS
- A hybrid mathematical model of solid tumour invasion: the importance of cell adhesion
- MATHEMATICAL MODELLING OF CANCER CELL INVASION OF TISSUE: THE ROLE OF THE UROKINASE PLASMINOGEN ACTIVATION SYSTEM
- Nonlinear modelling of cancer: bridging the gap between cells and tumours
- Blowup of nonradial solutions to parabolic-elliptic systems modeling chemotaxis in two-dimensional domains
- Global existence for a parabolic chemotaxis model with prevention of overcrowding
- Large time behavior of solution to a fully parabolic chemotaxis-haptotaxis model in higher dimensions
This page was built for publication: Global boundedness in a three-dimensional chemotaxis-haptotaxis model
