Projects | MERG

Projects

Non-linear dynamical approaches can be used to describe bipolar disorder mood variability. Mood variability is a chronic aspect of bipolar disorder and greater attention to its patterns and fluctuations require the development of appropriate mathematical tools.
Principally using paleo-ecological time series from the Holocene, we aim to understand long-term ecological and ecosystem dynamics. Using statistical modeling approaches, we are interested in how species interactions, community structure and nutrient dynamics play out over millennia time scales
Understanding the role of space on the dynamics of single species, predator-prey and species assemblages is a contemporary challenge. Using experimental, mathematical and statistical approaches, we are interested in how non-linear population dynamic processes (such as Allee effects) and different forms of uncertainty (measurement and process noise) affect patterns of species distributions and abundances in space.
We model various aspects of a novel method whereby "genetically sterile" male insects will seek out and mate wild females, reducing the population. This has applications in human health and in agriculture.
We apply a wide variety of mathematical tools together with experiments to explore exciting and novel questions in various aspects of evolutionary ecology ranging from understanding the evolution of sexes (anisogamy) through to the evolution of parental care, cannibalism, senescence and cooperation.
Changes in food yields, human demography and environmental change all require quantitative analysis. In this interdisciplinary project our aim is to develop mathematical models that integrate these different processes to enhance our understanding of the risk associated with food production
One of the oldest challenges in ecology is to understand the processes that underpin the composition of communities. We are interested in developing mathematical methods that aim to describe, analyse, and explain patterns in diversity of traits (biological characteristics) and patterns in phylogenetic diversity (species' common history) in space and time.
We are interested in applying population biology principles to problems in developmental biology. Understanding cell organisation patterns and the dynamics of cell systems necessitates a quantitative approach.