Blow-up in a higher-dimensional chemotaxis system despite logistic growth restriction

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Winkler, Michael. “Blow-up in a Higher-Dimensional Chemotaxis System Despite Logistic Growth Restriction”. Journal of Mathematical Analysis and Applications, vol. 384, no. 2, 2011, pp. 261-72, https://doi.org/10.1016/j.jmaa.2011.05.057.
Winkler, M. (2011). Blow-up in a higher-dimensional chemotaxis system despite logistic growth restriction. Journal of Mathematical Analysis and Applications, 384(2), 261-272. https://doi.org/10.1016/j.jmaa.2011.05.057
Winkler, Michael. “Blow-up in a Higher-Dimensional Chemotaxis System Despite Logistic Growth Restriction”. Journal of Mathematical Analysis and Applications 384, no. 2 (2011): 261-72. https://doi.org/10.1016/j.jmaa.2011.05.057.
Winkler M. Blow-up in a higher-dimensional chemotaxis system despite logistic growth restriction. Journal of Mathematical Analysis and Applications. 2011;384(2):261-72.
Refrences
Title Journal Journal Categories Citations Publication Date
Boundedness and finite-time collapse in a chemotaxis system with volume-filling effect Nonlinear Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
191 2010
Finite time blow-up for a one-dimensional quasilinear parabolic–parabolic chemotaxis system Annales de l'Institut Henri Poincaré C, Analyse non linéaire
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  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
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75 2010
Boundedness in a haptotaxis model 2010
A user’s guide to PDE models for chemotaxis Journal of Mathematical Biology
  • Science: Biology (General)
  • Medicine: Medicine (General): Computer applications to medicine. Medical informatics
  • Science: Biology (General)
  • Science: Biology (General)
  • Science: Chemistry: Organic chemistry: Biochemistry
1,049 2009
Type II blowup of solutions to a simplified Keller–Segel system in two dimensional domains Nonlinear Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
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22 2007
Refrences Analysis
The category Science: Mathematics 15 is the most frequently represented among the references in this article. It primarily includes studies from Nonlinear Analysis and Journal of Differential Equations. The chart below illustrates the number of referenced publications per year.
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Citations
Title Journal Journal Categories Citations Publication Date
Global dynamics for a two-species chemotaxis system with loop Zeitschrift für angewandte Mathematik und Physik
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2024
Blow-up Analysis to a Quasilinear Chemotaxis System with Nonlocal Logistic Effect Bulletin of the Malaysian Mathematical Sciences Society
  • Science: Mathematics
2024
A hyperbolic-elliptic-parabolic PDE model of chemotactic E. coli colonies Journal of Mathematical Analysis and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2024
Global boundedness in an attraction-repulsion chemotaxis system involving nonlinear indirect signal mechanism Journal of Mathematical Analysis and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2 2024
Global boundedness and asymptotic stabilization in a chemotaxis system with density-suppressed motility and nonlinear signal production Journal of Mathematical Analysis and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2024
Citations Analysis
The category Science: Mathematics 201 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Spatial pattern formation in a chemotaxis–diffusion–growth model and was published in 2012. The most recent citation comes from a 2024 study titled Global dynamics for a two-species chemotaxis system with loop. This article reached its peak citation in 2022, with 30 citations. It has been cited in 57 different journals, 14% of which are open access. Among related journals, the Journal of Mathematical Analysis and Applications cited this research the most, with 34 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year