Understanding the emergence, spread and evolution of infectious diseases in natural and managed populations is a major challenge. Working closely with experimental biologists, we develop mathematical models describing the interactions of hosts and their parasites using ordinary differential equations. The main focus of our research is on how population-level processes drive evolutionary dynamics.
Key questions include:
Members working on these topics: Dr. Alex Best
Mathematical models of ecological systems are of fundamental importance for predicting and managing changes in the natural world.
At Sheffield, we are particularly interested in the following questions:
Members working on these topics: Dr. Jonathan Potts
Mathematical modelling of evolution and natural selection combines the mathematical tools of dynamical systems theory, stochastic processes, combinatorics and graph theory.
At Sheffield current projects include:
Members working on these topics: Prof. Chris Cannings
Ecological models and data present many challenging statistical problems. Research on this topic in Sheffield concentrates particularly on Bayesian computer-intensive statistical methods, in collaboration with statistical colleagues, especially through the National Centre for Statistical Ecology, and with ecologists both in Sheffield and worldwide.
Examples of current interest include:
The left picture by Paul Blackwell.
Members working on these topics: Prof. Paul Blackwell
Understanding the role of genetics and epigenetic variation is important because it allows the possibility of personalized medicine. Approaches to studying genetic/epigenetic variation are highly statistical and probabilistic.
At Sheffield we are working on:
Members working on these topics: Dr. Kevin Walters