Most of my work involves mathematical models of infectious diseases. I am particularly interested in the dynamic interaction of diseases with behavioural, societal, evolutionary and environmental factors, and in computational methods for confronting methods with data. More specific aspects of my research are listed in the following, see also the list of publications for more details.
Real-time modelling of infectious disease outbreaks
During outbreaks of infectious diseases, real-time modelling can be useful for forecasting case numbers, for interpreting observed data, and for estimating underlying epidemiological and biological priorities. We try to use mathematical models in conjunction with outbreak data to provide information that can be useful in assessing the expected scale of an outbreak and a targeted public-health response.
Infectious diseases close to elimination
When infectious diseases come close to being eliminated, they often behave differently from endemic diseases. Social mixing patterns can shape the dynamics of spread if an infection is concentrated in certain parts of populations. Using mathematical tools, we are trying to understand these patterns and come up with better quantification of the feasibility of elimination.
Vector-borne diseases often have a particularly complex epidemiology, involving the dynamics of the vector population and possible animal reservoirs. The ecological and epidemiological dynamics of both vectors and animal hosts affect the spread of the disease in human populations. An example for this is Gambiense Human African Trypanosomiasis (HAT), a disease transmitted by the tsetse fly and affecting mostly rural populations in Sub-saharan Africa. Gambiense HAT has long been known to infect a variety of animals, but the exact role these animals play in the epidemiology of gambiense HAT, and the effect on disease dynamics in humans, has been a matter of debate. If animal hosts act as reservoirs, that is if they can maintain transmission in the absence of humans, this can have an important role on efforts to eliminate or even eradicate the disease.
Infectious diseases and human behaviour
We often change our behaviour in some way or another when we perceive an infectious disease to be present in our geographical or social proximity. If we avoid contact with those we perceive to be contagious, or when we are ill ourselves, this can change the epidemiology of a disease, and the same can be said for other types of behaviour like vaccination, medication or wearing face masks. Behavioural changes are often triggered by the presence of a disease, but can become independent and be adopted in a population with its own dynamics separate from the dynamics of the disease. Disease awareness, beliefs and behavioural practises can spread in a population through word of mouth or copying others, but can also be influence of mass media or government recommendation. All of these factors generate a complex picture which we need to untangle if we are to understand how diseases spread in populations.
Networks are used as an abstract formulation for a variety of scenarios where individual entities of a greater population interact only some of the other individuals: this can be individual people in a social network connected by friendship or some other kind of relationship, or proteins in a cell connected by their interaction. While networks have an important in visualising such relations, they also allow for the definition and natural interpretation of concepts like clustering and community structure. In network studies, these relations are often assumed as fixed. In many situations, however, links get constantly created and broken up on a continuous basis. I am interested in the question whether any of the structure that is identified in static networks can remain stable even if the evolving nature of the networks is taken into account.
Global drivers of infectious disease emergence
Emerging infectious diseases are those which newly appear in humans (often via evolutionary adaptation of pathogens affecting animals), or which significantly increase in incidence. When the occurrences of such diseases over the past decades are plotted on a map, patterns can be observed which indicate that these are not purely random. In fact, a number of anthropogenic and environmental factors have been implicated in disease emergence. My interest is to combine these insights with mathematical models for the spread of diseases to get a greater understanding of the processes behind disease emergence and impact, and of the influence of contact networks at different stages of emergence. (Picture from Jones et al., 2008)