The non-perturbative phenomenon for the Crow Kimura model with stochastic resetting

Abstract

We consider the Crow Kimura model, modified via stochastic resetting. There are two principally different situations: First, when due to resetting the system jumps to the low fitness state, everything is rather simple in this case, we have a solution which is a slight modification of the standard Crow-Kimura model case. When there is resetting to the high-fitness state, there is a non-perturbative phenomenon via the resetting probability, even a minimal resetting probability drastically changes the solution. We found two subphases in this phase.

5 pages, 7 figures, submitted to the Journal of the Physical Society of Japan