Application of Dynamical Systems to Biology is nowadays an important challenge. The goal of this school is, on the one hand to present the basic tools in Dynamical Systems to solve ODE's, and, on the second hand, to present how these tools can be used in Biology. The school will comprise two series of lectures. One theoretical one and one for applied mathematics. A large part will be devoted to exercises sessions.
The theoretical part will focus both on Symbolic Dynamics and Geometric Dynamics (mainly uniformly hyperbolic dynamical systems). The applied part will make connections between the theoretical's one by using the tools presented in the theoretical courses to study the logistic family, population evolutions or emergence of epilepsy crises.