A Review on the Analysis and Optimal Control of Chemotaxis-Consumption Models

André Luiz Corrêa Vianna Filho, Francisco Guillén-González

In the present review we focus on the chemotaxis-consumption model ${\partial }_{t}u-\Delta u=-\nabla \cdot (u\nabla v)$ and ${\partial }_{t}v-\Delta v=-u^{s}v$ in $(0,T)\times \Omega$, for any…