Control of epidemic models and biomedical systems

We are investigating novel mathematical models to describe the spreading of infectious diseases such as Ebola and HIV. The models are formulated in both continuous and discrete-time and some of their basic mathematical properties such as positiveness and stability are analyzed. A control-theoretic approach is used to design vaccination, drug administration and quarantine methods to counteract the propagation in an effective and economic manner. Also, we are working on rehabilitation devices for patients suffering from the heart.