Global weak solutions to a nonlinear chemotaxis system with singular density-suppressed motility

In this work, we study the no-flux initial-boundary value problem for the migration-consumption taxis system involving singular density-suppressed motility Formula: see text in a bounded domain Formula: see text Formula: see text, where Formula: see text generalizes the singular prototype given by Formula: see text Formula: see text with Formula: see text. We prove that if Formula: see text and Formula: see text, then the model (⋆) possesses a global weak-strong solution.