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
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
Please read this information before making an application. Information on the application process is available at: https://www.gre.ac.uk/research/study/apply/application-process. Applications need to be made online via this link. No other form of application will be considered.
All applications must include the following information. Applications not containing these documents
will not be considered.
• Scholarship Reference Number (Ref)– included in the personal statement section together with
your personal statement as to why you are applying
• a research proposal related to the subject topic *
• a CV including 2 referees *
• academic qualification certificates/transcripts and IELTs/English Language certificate if you are an international applicant or if English is not your first language or you are from a country where English is not the majority spoken language as defined by the UK Border Agency *
*upload to the qualification section of the application form. Attachments must be a PDF format. Before submitting your application you are encouraged to liaise with the Lead Supervisor on the details
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Awards:- 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.