ON A CHEMOTAXIS MODEL WITH SATURATED CHEMOTACTIC FLUX

By Alina Chertock, Alexander Kurganov, Xuefeng Wang, Yaping Wu. 2012

102 citations recorded by the source corpus.

Subfields: Modeling and Simulation, Molecular Biology, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/35722aff4e87eec3773970c3590655665a10f519

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Modeling and Simulation

1. Jingda Yan
2. Chunyi Gai
3. Qi Wang

In Molecular Biology

1. Jingda Yan
2. Chunyi Gai
3. Qi Wang

In Public Health, Environmental and Occupational Health

1. Jingda Yan
2. Chunyi Gai
3. Qi Wang

Citations in the corpus

• Boundedness and global existence in the higher-dimensional parabolic–parabolic chemotaxis system with/without growth source (2015, unknown): “1) is well-established; see, for example, [37,22,55,50,12].”
• How strong a logistic damping can prevent blow-up for the minimal Keller–Segel chemotaxis system? (2016, unknown): “CHEMOTAXIS SYSTEM, LOGISTIC SOURCE, AND BOUNDEDNESS 3 while pattern formation arises [7, 16, 30, 62].”
• Qualitative analysis of a Lotka-Volterra competition system with advection (2014, background): “63 in [23] and Corollary 1 in [6] with d = 1) due to Gagliardo-Ladyzhenskaya-Nirenberg inequality and the Young’s inequality, for any u ∈ H(1)(0, L) and any ǫ > 0 ‖u p2 ‖(2)L2(0,L) ≤ ǫ‖(u p 2 )x‖(2)L2(0,L) +K ( 1 + ǫ− 1 2 ) ‖u p2 ‖(2)L1(0,L), where K only depends on L.”