Evolutionary dynamics of the island model with stochastic resetting

We study the evolutionary dynamics of the island model which consists of populations confined to two islands with stochastic resetting. The populations on islands follow the evolutionary dynamics. They reproduce according to their fitnesses, die at random, and migrate between two islands. In addition to the evolutionary dynamics, we introduce the stochastic resetting process in the dynamics, by which the state of the system is reset to a certain specified state at constant rate. Without resetting, it has been shown that there is a continuous phase transition in the subpopulations as the migration rate increases. When the system is reset stochastically, depending on the reset state and the resetting rate, the subpopulation distribution of a certain species exhibits a maximum at a nontrivial value of the resetting rate, whereas the continuous phase transition disappears for any non-vanishing value of the resetting rate.