Global dynamics of a tumor invasion model with/without logistic source
DOI10.1007/s00033-021-01611-wzbMath1479.35877OpenAlexW3200227586WikidataQ111492843 ScholiaQ111492843MaRDI QIDQ2230532
Linjie Xiong, Hai-Yang Jin, Jiawei Chu
Publication date: 24 September 2021
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-021-01611-w
Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global dynamics in a fully parabolic chemotaxis system with logistic source
- Nondegeneracy of blow-up points for the parabolic Keller-Segel system
- Boundedness in a fully parabolic chemotaxis system with singular sensitivity
- Application of an Adams type inequality to a two-chemical substances chemotaxis system
- Spatio-temporal chaos in a chemotaxis model
- Hölder estimates for local solutions of some doubly nonlinear degenerate parabolic equations
- Exponential attractor for a chemotaxis-growth system of equations
- Blow-up in a higher-dimensional chemotaxis system despite logistic growth restriction
- Model for chemotaxis
- Quasilinear nonuniformly parabolic system modelling chemotaxis
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- A user's guide to PDE models for chemotaxis
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- Blowup of solutions to a two-chemical substances chemotaxis system in the critical dimension
- Finite-time blow-up in low-dimensional Keller-Segel systems with logistic-type superlinear degradation
- Positive effects of repulsion on boundedness in a fully parabolic attraction-repulsion chemotaxis system with logistic source
- Critical mass for infinite-time aggregation in a chemotaxis model with indirect signal production
- Spatial pattern formation in a chemotaxis-diffusion-growth model
- Parabolic system of chemotaxis: Blowup in a finite and the infinite time.
- Global dynamics of a quasilinear chemotaxis model arising from tumor invasion
- Global asymptotic stability in a chemotaxis-growth model for tumor invasion
- Global existence for a kinetic model of pattern formation with density-suppressed motilities
- Large time behavior in a chemotaxis model with logistic growth and indirect signal production
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- Large time behavior in the logistic Keller-Segel model via maximal Sobolev regularity
- Global asymptotic stability of constant equilibria in a fully parabolic chemotaxis system with strong logistic dampening
- Boundedness vs. blow-up in a chemotaxis system
- Stabilization in a chemotaxis model for tumor invasion
- Blow-up in a chemotaxis model without symmetry assumptions
- To the exclusion of blow-up in a three-dimensional chemotaxis-growth model with indirect attractant production
- Boundedness and exponential convergence in a chemotaxis model for tumor invasion
- LPBounds of solutions of reaction-diffusion equations
- Boundedness, Stabilization, and Pattern Formation Driven by Density-Suppressed Motility
- Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
- Effects of signal-dependent motilities in a Keller–Segel-type reaction–diffusion system
- Global dynamics and spatio-temporal patterns of predator–prey systems with density-dependent motion
- Large Time Behavior in a Chemotaxis Model with Nonlinear General Diffusion for Tumor Invasion
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
- A Chemotaxis System with Logistic Source
This page was built for publication: Global dynamics of a tumor invasion model with/without logistic source