Qualitative analysis of stationary Keller-Segel chemotaxis models with logistic growth
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Publication:322112
DOI10.1007/s00033-016-0648-9zbMath1353.92025arXiv1312.0258OpenAlexW3104838132MaRDI QIDQ322112
Qi Wang, Jingda Yan, Chunyi Gai
Publication date: 14 October 2016
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1312.0258
Asymptotic behavior of solutions to PDEs (35B40) Perturbations in context of PDEs (35B20) Bifurcations in context of PDEs (35B32) Cell movement (chemotaxis, etc.) (92C17)
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Cites Work
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- On a chemotaxis model with saturated chemotactic flux
- 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
- Qualitative analysis of a Lotka-Volterra competition system with advection
- Global existence of solutions to a parabolic-parabolic system for chemotaxis with weak degradation
- Spatio-temporal chaos in a chemotaxis model
- Chemotactic collapse for the Keller-Segel model
- Exponential attractor for a chemotaxis-growth system of equations
- Blow-up in a higher-dimensional chemotaxis system despite logistic growth restriction
- Initiation of slime mold aggregation viewed as an instability
- Model for chemotaxis
- Traveling bands of chemotactic bacteria: a theoretical analysis
- A user's guide to PDE models for chemotaxis
- On global bifurcation for quasilinear elliptic systems on bounded domains
- Large amplitude stationary solutions to a chemotaxis system
- Nonlinear aspects of chemotaxis
- Degree theory for \(C^1\) Fredholm mappings of index 0
- Locating the peaks of least-energy solutions to a semilinear Neumann problem
- Center manifolds for quasilinear reaction-diffusion systems
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- Spatial pattern formation in a chemotaxis-diffusion-growth model
- From 1970 until present: the Keller-Segel model in chemotaxis and its consequences. II
- Blowup in higher dimensional two species chemotactic systems
- Mathematics of traveling waves in chemotaxis
- Spiky and transition layer steady states of chemotaxis systems via global bifurcation and Helly's compactness theorem
- Convergence to a viscosity solution for an advection-reaction-diffusion equation arising from a chemotaxis-growth model
- Global solutions of a Keller-Segel system with saturated logarithmic sensitivity function
- Competitive exclusion in a two-species chemotaxis model
- Limiting structure of steady-states to the Lotka-Volterra competition model with large diffusion and advection
- Boundary spikes of a Keller-Segel chemotaxis system with saturated logarithmic sensitivity
- Bifurcation, perturbation of simple eigenvalues, and linearized stability
- Time-periodic and stable patterns of a two-competing-species Keller-Segel chemotaxis model: effect of cellular growth
- Boundedness vs. blow-up in a chemotaxis system
- On the effects of migration and spatial heterogeneity on single and multiple species
- Stationary solutions for some shadow system of the Keller-Segel model with logistic growth
- Global existence and steady states of a two competing species Keller-Segel chemotaxis model
- Bifurcation from simple eigenvalues
- Pattern Formation in Keller–Segel Chemotaxis Models with Logistic Growth
- Sharp condition for blow-up and global existence in a two species chemotactic Keller–Segel system in 2
- Stabilization in a two-species chemotaxis system with a logistic source
- Stationary Solutions of a Volume-Filling Chemotaxis Model with Logistic Growth and Their Stability
- Remarks on the blowup and global existence for a two species chemotactic Keller–Segel system in2
- On the shape of least‐energy solutions to a semilinear Neumann problem
- Qualitative analysis on a chemotactic diffusion model for two species competing for a limited resource
- Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
- Qualitative Behavior of Solutions of Chemotactic Diffusion Systems: Effects of Motility and Chemotaxis and Dynamics
- Basic Mechanisms Driving Complex Spike Dynamics in a Chemotaxis Model with Logistic Growth
- A Chemotaxis System with Logistic Source
- Spatio-temporal oscillations in the Keller–Segel system with logistic growth
