Complex dynamic behaviours in the interaction between parasite population and the host's immune system.

The paper describes recent progress in the development of a mathematical framework for the study of epidemiology, evolution, within-host parasite population growth and the control of parasitic infections. A major emphasis is placed on dynamic models of the interaction between the parasite population and the host's immune system that capture the effects of antigenic variation, parasite evolution in response of immunological attack and the control of population growth by chemotherapeutic agents.