Boundedness in a quasilinear parabolic–parabolic Keller–Segel system with logistic source
By Xinru Cao. 2014
101 citations recorded by the source corpus.
Subfields: Modeling and Simulation, Molecular Biology, Oncology
View Paper: https://www.semanticscholar.org/paper/02d72a7bea8fd2cf8392eaf4ec339f0cc9a05af4
How researchers see this paper
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In Modeling and Simulation
- Tian Xiang
- Michael Winkler
- Johannes Lankeit
- Xinru Cao
- Jiashan Zheng
- Sining Zheng
- Zhaoxin Jiang
- C. Yang
In Molecular Biology
- Tian Xiang
- Michael Winkler
- Xinru Cao
- Johannes Lankeit
- Jiashan Zheng
- Sining Zheng
- C. Yang
- Zhaoxin Jiang
In Oncology
Citations in the corpus
- Eventual smoothness and asymptotics in a three-dimensional chemotaxis system with logistic source (2014, background): “But not only the restriction to dimension 2, also the inclusion of some kind of saturation effect in the chemotactic sensitivity [2], sublinear dependence of the chemotactic sensitivity on u [3] or even changing the second equation into one that models the consumption of the chemoattractant (as done”
- Finite-time blow-up in low-dimensional Keller–Segel systems with logistic-type superlinear degradation (2018, background): “1), inter alia accounting for nonlinear cell diffusion ([51], [6], [41], [55], [58]), for variants in the cross-diffusive interaction ([53], [20], [4], [39], [57]) or also in the signal evolution, or even containing couplings to further mechanisms and components such as haptotactic cues ([5], [40], ”
- Boundedness in a quasilinear fully parabolic Keller-Segel system of higher dimension with logistic source (2015, background): “Details of the proof can be founded in [2].”
- A note on boundedness of solutions to a higher‐dimensional quasi–linear chemotaxis system with logistic source (2017, background): “Cao [3] proved that if β < 1, then the classical solution of (1.”
- How strong a logistic damping can prevent blow-up for the minimal Keller–Segel chemotaxis system? (2016, background): “1) have been considered to provide conditions on diffusion, degradation, chemo-sensitivity and mostly on the growth source ensuring the boundedness of the proposed models [1, 5, 29, 36, 43, 48, 49, 61, 64, 65] and the references therein, and that explosion of solutions is possible in chemotaxis syst”