Mutation-Selection Model with Recombination - AMS Memoirs

This mathematical monograph from the American Mathematical Society presents a rigorous investigation into continuous-time, probability measure-valued dynamical systems governing mutation-selection balance in infinite populations with weak selective cost assumptions. The authors extend the foundational 2005 work by Steinsaltz, Evans and Wachter by incorporating general recombination mechanisms and analysing the system when mutation and selection strengths are sufficiently small. The resulting theoretical framework describes flows of measures on complex genotype spaces, providing essential mathematical foundations for understanding evolutionary dynamics in populations with infinitely many loci and intricate genetic interactions.