Greenwich Faculty of Liberal Arts & Sciences MPhil and PhD international awards in UK
- Bursary and part tuition fees
The COVID-19 crisis has highlighted how mathematics can be used to model epidemics and, ultimately, inform (inter)national policy on managing them. Most existing mechanistic models describe how the number of individuals infected with a disease in a closed population changes in time. However, to understand the spread and outbreak of epidemics, spatial effects such as random mixing (uncorrelated random walks, i.e. diffusion) or biased directions of travel (i.e. advection), as well as temporal changes in the population, could be considered. Extra dimensions add extra complexity: one now expects advectionreaction-diffusion equations to describe the change in place and time of the number of infections. Furthermore, there is no guarantee that contact between infected and susceptible individuals will result in transmission. Thus mathematical models that consider the transmission of diseases to be stochastic may be more realistic.
This project will construct stochastic lattice Boltzmann equations (LBEs) to solve mechanistic models of disease spreading with the aim of finding relationships between spatially dependent parameters and the spread of infectious diseases. It will bring together advances in mathematical epidemiology, numerical modelling and simulation, and stochastic processes to address some of the outstanding challenges of modelling infectious disease outbreaks.
University of Greenwich
For the criteria see the link.
Bursary available (subject to satisfactory performance):
- Year 1: £15,285
- Year 2: In line with UKRI rate
- Year 3: In line with UKRI rate
In addition, the successful candidate will receive a contribution to tuition fees equivalent to the university’s Home/EU rate, currently £4,407, for the duration of their scholarship. International applicants will need to pay the remainder tuition fee for the duration of their scholarship. This fee is subject to an annual increase.
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