Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2010/07/15
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Indian UGC (journal)
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Refrences22
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Citations511
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Michael Winkler
Cite
Winkler, Michael. “Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System With Logistic Source”. Communications in Partial Differential Equations, vol. 35, no. 8, 2010, pp. 1516-37, https://doi.org/10.1080/03605300903473426.
Winkler, M. (2010). Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source. Communications in Partial Differential Equations, 35(8), 1516-1537. https://doi.org/10.1080/03605300903473426
Winkler, Michael. “Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System With Logistic Source”. Communications in Partial Differential Equations 35, no. 8 (2010): 1516-37. https://doi.org/10.1080/03605300903473426.
Winkler M. Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source. Communications in Partial Differential Equations. 2010;35(8):1516-37.
Journal Categories
Science
Mathematics
Technology
Technology (General)
Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
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Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Global attractor for a chemotaxis model with prevention of overcrowding | Nonlinear Analysis |
| 52 | 2004 |
| Convergence to a viscosity solution for an advection-reaction-diffusion equation arising from a chemotaxis-growth model | Hiroshima Mathematical Journal |
| 9 | 1999 |
| 10.1007/BFb0089647 | 1981 | |||
| 10.1007/BFb0089647 | 2002 | |||
| 10.1007/BFb0089647 | 2002 |
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
Global weak solutions to a fully parabolic two‐species chemotaxis system with fast p$$ p $$‐Laplacian diffusion | Mathematical Methods in the Applied Sciences |
| 2024 | |
| Boundedness of solutions to a chemotaxis–haptotaxis model with nonlocal terms | Nonlinear Differential Equations and Applications NoDEA |
| 2024 | |
| Boundedness and large-time behavior in a chemotaxis system with signal-dependent motility arising from tumor invasion | Zeitschrift für angewandte Mathematik und Physik |
| 2024 | |
| Global dynamics for a two-species chemotaxis system with loop | Zeitschrift für angewandte Mathematik und Physik |
| 2024 | |
| Existence, Stability and Slow Dynamics of Spikes in a 1D Minimal Keller–Segel Model with Logistic Growth | Journal of Nonlinear Science |
| 2024 |
Citations Analysis
The category
Science: Mathematics 464
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Blow-up in a higher-dimensional chemotaxis system despite logistic growth restriction and was published in 2011. The most recent citation comes from a 2024 study titled Global boundedness and large time behaviour in a higher-dimensional quasilinear chemotaxis system with consumption of chemoattractant. This article reached its peak citation in 2022, with 74 citations. It has been cited in 80 different journals, 13% of which are open access. Among related journals, the Journal of Mathematical Analysis and Applications cited this research the most, with 68 citations. The chart below illustrates the annual citation trends for this article.