PDE Models Applied to Biology

This is a short course where the audience will be introduced to important models in Biology that can be described by partial differential equations(PDEs).
Among these models we emphasize drift-diffusion equations for invading species, which has an important application in the case of trying to control dengue mosquitos by means of the Wolbachia bacteria. Another example concerns structured population equations. The area is quite rich of relevant applications and challenging problems. The level of the course will be adjusted according to the audience but in principle one expects a certain familiarity with basic concepts of Analysis and PDEs such as the Fourier transform, Sobolev spaces and the heat equation.