Title: Reaction-diffusion in Social and Biological Sciences: Dynamics and ResNet control

Abstract: We analyse reaction-diffusion models arising in social and biological sciences. Frequently, they play an important role in applications, when avoiding population extinction or propagation of infectious diseases, enhancing multicultural features, etc. But, when doing that, often, the mathematical formulation of these issues requires of the concepts and tools from Control Theory, which may be reinterpreted in terms of the dynamical system behaviour of Residual Neural Networks. In this talk, oriented to a broad audience, and avoiding unnecessary technical difficulties, we should explain how these areas of Applied Mathematics meet, pointing some challenging problems for future research.