### Catalin Trenchea

Department of Mathematics,
University of Pittsburgh

### Control and parameter identification in reaction-diffusion equations

**Wednesday 19th March 14:05-14:55pm,
Eastern Avenue Lecture Theatre. **
In the first part we present an optimal control problem for a nonlinear reaction-diffusion system modelling predator-prey interactions. We implement a semi-implicit
(in time) finite element method with "mass lumping", and show the results of numerical experiments in two space dimensions.

The second part regards a parameter identification problem for reaction-diffusion equations modelling pattern formation (Gierer & Meinhardt activator-inhibitor model). We will discuss how we approximate solutions and show an animation of some preliminary results.