Jiashan Zheng

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

This paper is concerned with the Neumann initial-boundary value problem for the chemotaxis system:$ \begin{align} \left\{\begin{aligned} & u_{t} = \Delta u-\chi_{1}\nabla\cdot(u\nabla w)+w-\mu_{1}u^{r_{1}}, &&x\in\Omega, t>0, \\ & v_{t} = \Delta v-\chi_{2}\nabl...