Sourav Kumar Sasmal

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

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*} \left\{ \begin{aligned} u_t&= \Delta(\gamma(v)u) + \mu u(1-u^\theta)(u-A),&x \in \Omega, \quad t>0, v_t&= \Delta v - v+ w^\beta,&x \in...