For the Alopecia Areata chemotaxis system in dimensions N≥3, global bounded classical solutions exist under explicit damping thresholds or superquadratic degradation, and global weak solutions exist for any positive damping.
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Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation
For the Alopecia Areata chemotaxis system in dimensions N≥3, global bounded classical solutions exist under explicit damping thresholds or superquadratic degradation, and global weak solutions exist for any positive damping.