The role of local kinetics in a three-component chemotaxis model for Alopecia areata

DOI10.1016/j.jde.2021.10.020zbMath1481.35061OpenAlexW3209584704MaRDI QIDQ2242552

Youshan Tao, Yuan Lou

Publication date: 9 November 2021

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2021.10.020

zbMATH Keywords

global existenceLyapunov functionallarge time behaviorAlopecia areata

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items

Boundedness in a three-component chemotaxis system with nonlinear diffusion for Alopecia areata ⋮ Stability and instability in a three-component chemotaxis model for alopecia areata ⋮ Boundedness in a three-component quasilinear chemotaxis system on alopecia areata ⋮ Bifurcations and pattern formation in a predator-prey model with memory-based diffusion ⋮ Boundedness in a chemotaxis-May-Nowak model for virus dynamics with mildly saturated chemotactic sensitivity and conversion ⋮ Boundedness and asymptotic behavior in a quasilinear chemotaxis system for alopecia areata ⋮ Combined effects of nonlinear proliferation and logistic damping in a three-component chemotaxis system for alopecia areata

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