Spiral waves in the Rock-Paper-Scissors model (SUSTech candidates only)


Contact Professor Alastair Rucklidge (Leeds) or Dr Linlin Su (SUSTech) to discuss this project further informally. 

Project description

Scissors cut Paper, Paper wraps Rock, Rock blunts Scissors: the simple game of Rock-Paper-Scissors provides an appealing model for cyclic dominance between competing populations or strategies in evolutionary game theory and biology. The model can be described by a nonlinear partial differential equation for the population levels of the three interacting species, which are known to have a variety of travelling wave and spiral wave solutions. This project will be concerned with the properties of these waves. The two supervisors have complementary backgrounds but are both concerned with questions such as the stability of wave-like solutions of partial differential equations.

The student on this joint project will start in Leeds in September 2018 and will spend the first year in Leeds, ending with the Transfer Interview. After passing this interview, the student will spend up to two years in SUSTech before returning to Leeds to complete the writing-up, submission and examination of the PhD. The submission will take place before the end of August 2022. Throughout the four years, the supervisors will have regular Skype supervision meetings and at least one meeting face-to-face each year.

Entry requirements

Applicants should have, or expect to obtain, a minimum equivalent of a UK upper second class honours degree in Mathematics or a related discipline.

How to apply

Applications should be submitted via SUSTech in the first instance. Following nomination by SUSTech, formal applications for Split-site research degree study should then be made online through the University of Leeds website. Please state clearly in the research information section that the PhD you wish to be considered for is ‘Spiral waves in the Rock-Paper-Scissors model (SUSTech candidates only)’ as well as Professor Alastair Rucklidge as your proposed supervisor.

If English is not your first language, you must provide evidence that you have English language proficiency of at least IELTS 6.5 with no component below 6.0, or equivalent.

If you require any further information please contact the Graduate School Office e: math.pgr.admissions@leeds.ac.uk