Chemotaxis models with signal-dependent sensitivity and a logistic-type source, II: Persistence and stabilization

This paper is Part II of a series on boundedness, global existence, and asymptotic behavior of positive classical solutions to the chemotaxis model $$\begin{cases} u_t=Δu-χ_0\nabla\cdot\left(\frac{u^m}{(1+v)^β}\nabla v\right)+au-bu^{1+α}, & x\inΩ,\\ 0=Δv-μv+νu^γ, & x\inΩ,\\ \frac{\partial u}{\partia