Differential Equations/Nonlinear Analysis Seminar: Maria Teresa Chiri, Queen’s University, Controlling the spread of invasive biological species
ZoomWe consider a controlled reaction-diffusion equation, modeling the spreading of an invasive population. Our goal is to derive a simpler model, describing the controlled evolution of a contaminated set. We first analyze the optimal control of 1-dimensional traveling wave profiles. Using Stokes’ formula, explicit solutions are obtained, which in some cases require measure-valued optimal controls.…