I develop and analyze mathematical models of biological systems, primarily for applications in epidemiology, ecology and animal behaviour.
One of the main themes of my research is understanding and controlling extinctions. In the ecological context, I investigate strategies for conservation of endangered species. In the epidemiological context, I study strategies for eradication of parasites that cause infectious diseases. From a mathematical point of view, these are very similar problems.
Another area of my research concerns the application of game theory to the evolutionary dynamics of behavioural traits. This work clarifies the adaptive significance of animal behaviour, ranging from cooperation and parental care to foraging and cannabilism.