Patterns in a generalized volume-filling chemotaxis model with cell proliferation
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Publication:3179519
DOI10.1142/S0219530515500220zbMath1361.35074MaRDI QIDQ3179519
Publication date: 21 December 2016
Published in: Analysis and Applications (Search for Journal in Brave)
Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) Developmental biology, pattern formation (92C15) Initial value problems for second-order parabolic systems (35K45) Cell movement (chemotaxis, etc.) (92C17) Mathematical biology in general (92B99)
Related Items
Pattern formation for a two-dimensional reaction-diffusion model with chemotaxis, Traveling wavefronts for a reaction-diffusion-chemotaxis model with volume-filling effect, New conditions for pattern solutions of a Brusselator model, Stability and metastability in a chemotaxis model
Cites Work
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- Spatio-temporal chaos in a chemotaxis model
- Global attractor for a chemotaxis model with prevention of overcrowding
- Initiation of slime mold aggregation viewed as an instability
- Model for chemotaxis
- Model of chemotaxis with threshold density and singular diffusion
- On global bifurcation for quasilinear elliptic systems on bounded domains
- Prevention of blow-up by fast diffusion in chemotaxis
- An application of the invariance principle to reaction diffusion equations
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- Spiky and transition layer steady states of chemotaxis systems via global bifurcation and Helly's compactness theorem
- Boundedness vs. blow-up in a chemotaxis system
- Metastability in chemotaxis models
- Stationary Solutions of a Volume-Filling Chemotaxis Model with Logistic Growth and Their Stability
- Random walk with persistence and external bias
- Singularity formation in chemotaxis systems with volume-filling effect
- Global bifurcation and stability of steady states for a reaction-diffusion-chemotaxis model with volume-filling effect
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
- On Chemotaxis Models with Cell Population Interactions
- Classical solutions and pattern formation for a volume filling chemotaxis model
- Elliptic Partial Differential Equations of Second Order
- Global Regularity versus Infinite-Time Singularity Formation in a Chemotaxis Model with Volume-Filling Effect and Degenerate Diffusion
- Long-time behaviour of solutions to a chemotaxis model with volume-filling effect
- On convergence to equilibria for a chemotaxis model with volume-filling effect
