Global existence and decay for a chemotaxis-growth system with generalized volume-filling effect and sublinear secretion
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Publication:2410981
DOI10.1007/s00030-017-0438-xzbMath1373.35167OpenAlexW2588658593MaRDI QIDQ2410981
Yongsheng Mi, Pan Zheng, Chun-Lai Mu
Publication date: 20 October 2017
Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00030-017-0438-x
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35)
Related Items (3)
Boundedness of solutions in a fully parabolic quasilinear chemotaxis model with two species and two chemicals ⋮ Boundedness of solutions to a quasilinear parabolic-parabolic chemotaxis model with nonlinear signal production ⋮ Convergence rate of a quasilinear parabolic-elliptic chemotaxis system with logistic source
Cites Work
- Unnamed Item
- On the stability of homogeneous steady states of a chemotaxis system with logistic growth term
- Boundedness in a parabolic-parabolic quasilinear chemotaxis system with logistic source
- Global solutions and exponential attractors of a parabolic-parabolic system for chemotaxis with subquadratic degradation
- Global existence and boundedness of classical solutions for a chemotaxis model with logistic source
- Generalizing the Keller-Segel model: Lyapunov functionals, steady state analysis, and blow-up results for multi-species chemotaxis models in the presence of attraction and repulsion between competitive interacting species
- Boundedness of solutions in a chemotaxis system with nonlinear sensitivity and logistic source
- Blow-up prevention by quadratic degradation in a two-dimensional Keller-Segel-Navier-Stokes system
- Global existence of solutions to a parabolic-parabolic system for chemotaxis with weak degradation
- Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
- Exponential attractor for a chemotaxis-growth system of equations
- Initiation of slime mold aggregation viewed as an instability
- Volume effects in the Keller--Segel model: energy estimates preventing blow-up
- 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
- Boundedness and asymptotic behavior in a fully parabolic chemotaxis-growth system with signal-dependent sensitivity
- From 1970 until present: the Keller-Segel model in chemotaxis and its consequences. II
- Global existence and boundedness of classical solutions to a parabolic-parabolic chemotaxis system
- Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with logistic source
- Global asymptotic stability of constant equilibria in a fully parabolic chemotaxis system with strong logistic dampening
- Boundedness vs. blow-up in a chemotaxis system
- Convergence rate estimates of solutions in a higher dimensional chemotaxis system with logistic source
- Pattern Formation in Keller–Segel Chemotaxis Models with Logistic Growth
- <i>L</i><sub><i>p</i></sub>-Estimates of Solutions to <i>n</i>-Dimensional Parabolic-Parabolic System for Chemotaxis with Subquadratic Degradation
- Global Weak Solutions in a PDE-ODE System Modeling Multiscale Cancer Cell Invasion
- Random walk with persistence and external bias
- Singularity formation in chemotaxis systems with volume-filling effect
- A Chemotaxis-Haptotaxis Model: The Roles of Nonlinear Diffusion and Logistic Source
- Classical solutions and pattern formation for a volume filling chemotaxis model
- LPBounds of solutions of reaction-diffusion equations
- Global Regularity versus Infinite-Time Singularity Formation in a Chemotaxis Model with Volume-Filling Effect and Degenerate Diffusion
- Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
- Volume Filling Effect in Modelling Chemotaxis
- Identification of Chemotaxis Models with Volume-Filling
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
- Biomixing by Chemotaxis and Enhancement of Biological Reactions
- Boundedness and large time behavior in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and general sensitivity
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