Mathematics: Fully Funded PhD Studentship in Investigating The Impact of Nonlocal Interactions

Flocks of birds, schools of fish, swarms of insects and coordinated cell migration are among the most fascinating examples of collective behaviour observed in nature. These behaviours are underpinned by mathematical principles - many of which remain mysterious. They often arise from long-range interactions between individuals that can be effectively described by nonlocal mathematical models. This class of models has proven successful in capturing interactions in a wide range of biological systems, from cell-cell communication to animal group behaviour. However, our analytical understanding of these models remains limited.

This fully funded PhD Scholarship will focus on bifurcation structures in nonlocal advection-diffusion models, with the aim of advancing our understanding of these systems. The project will use a combination of analytical techniques and numerical methods to explore how such models can provide new insights into collective phenomena. The research is expected to have broad implications, offering advances in mathematical theory as well as applications in fields such as spatial ecology, developmental biology and cancer research.

The successful candidate will join a vibrant interdisciplinary research group in Mathematical Biology at Swansea University. This unique environment offers an excellent opportunity to contribute to a growing area of research bridging mathematics and biology, with the potential to strengthen interdisciplinary collaborations and inspire future experimental studies.

Funding Details

Funding Comment

This scholarship covers the full cost of tuition fees and an annual stipend at UKRI rate (currently £19,237 for 2024/25). 

Additional research expenses of up to £1,000 per year will also be available. 

Scholarship open to UK and international fee eligible applicants

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