Recruiting beneficiary: University College Cork, Ireland

Internal supervisors: Prof. Sebastian Wieczorek, Dr. Kieran Mulchrone

Brief project description:

n this project, we will identify key questions in the area of stability analysis in evolutionary games and build on the existing techniques from bifurcation theory, critical transitions theory and network science to develop new mathematical framework to study instabilities in evolutionary games. The focus will be on stability criteria for Nash and Stackelberg equilibria, and on critical transitions (tipping points) that are triggered by changing external conditions. The methods developed will be applied to identify:

• Optimal strategies in cancer treatment
• Critical factors for “failure to adapt” to changing environment (e.g. climate) in ecosystems