My present research interests include both theory and application of Optimal Control with State Constraints and Application to Biology and Medicine emphasizing on the application to Infectious Diseases Modelling and Control.

Particularly, my present research focuses on

• Optimal Control Problems with State and/or mixed Constraints.
• Non smooth Optimal Control.
• Complex and Dynamical Systems
• Mathematical Epidemiology
• Applications of Optimal Control Theory in Infectious Disease, Biology and Bio-medicine.