Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation

Haotian Tang, Jiashan Zheng

This paper is concerned with the Neumann initial-boundary value problem for the chemotaxis system: $u_t=\Delta u-{\chi }_1\nabla \cdot (u\nabla w)+w-{\mu }_1{u}^{r_1}$, $v_t=Δv-χ_2\nabla\cdot(v\nabla w…