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Large time behavior of solutions to a quasilinear attraction–repulsion chemotaxis model with nonlinear secretion.
- Source :
-
Journal of Mathematical Physics . Sep2021, Vol. 62 Issue 9, p1-14. 14p. - Publication Year :
- 2021
-
Abstract
- In this paper, we study the large time behavior of a quasilinear attraction–repulsion chemotaxis model with nonlinear secretion: ut = ∇ · (D(u)∇u − χΦ(u)∇v + ξΨ(u)∇w) + λu − μuϵ; 0 = Δ v − α 1 v + β 1 u γ 1 ; 0 = Δ w − α 2 w + β 2 u γ 2 , x ∈ Ω, t > 0. We show that the global-in-time bounded smooth solution of the system converges exponentially/algebraically to steady state in the large time limit. Those results generalize some of our previous results [G. Ren and B. Liu, Math. Models Methods Appl. Sci. 30(13), 2619–2689 (2020) and G. Ren and B. Liu, J. Differ. Equations 268(8), 4320–4373 (2020)]. [ABSTRACT FROM AUTHOR]
- Subjects :
- *CHEMOTAXIS
*SECRETION
*TIME
Subjects
Details
- Language :
- English
- ISSN :
- 00222488
- Volume :
- 62
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 152769036
- Full Text :
- https://doi.org/10.1063/5.0055105