Global existence and uniqueness of solutions in a chemotaxis system with density-suppressed motility, a $\theta -$logistic source, and indirect signal production under a strong Allee effect

Om Tripathi, Sourav Kumar Sasmal, Manil T. Mohan

We consider the following chemotaxis-growth system, featuring density-suppressed motility and a $\theta$-logistic growth term that incorporates a strong Allee effect: \begin{equation*}…