Global boundedness of a chemotaxis-consumption model with signal-dependent sensitivity
Abstract
This paper deals with the global boundedness of a classical solution to a chemotaxis-consumption model with signal-dependent sensitivity. Specifically, this paper focuses on studying the existence and boundedness of a classical solution in the absence of a logistic source term when n = 2 n=2 and the chemotaxis sensitivity function χ ( v ) = χ v k ( 1 ≤ k ≤ 2 ) \chi (v)=\chi v^{k} (1\leq k\leq 2) . Due to the absence of the logistic source term, obtaining the necessary gradient estimates for global existence seems difficult because of the strongly coupled structure. To this end, we propose new energy functionals to address this difficulty.
Fields of Study & Subjects
Mathematical Biology Tumor Growth
Mathematical and Theoretical Epidemiology and Ecology Models
Molecular Communication and Nanonetworks
Publication details
- Journal / source
- Proceedings of the American Mathematical Society
- Publisher
- American Mathematical Society (AMS)
- Volume
- 154
- Issue
- 4
- Pages
- 1509–1522
- Publication date
- 9 February 2026
- Language
- EN