Jörn Dunkel, Stefan Hilbert, Lutz Schimansky-Geier, Peter Hänggi
We investigate stochastic resonance in the nonlinear, one-dimensional Fisher-Eigen model (FEM), which represents an archetypal model for biological evolution based on a global coupling scheme. In doing so we consider different periodically driven fitness functions which govern the evolution of a biological phenotype population. For the case of a simple harmonic fitness function we are able to derive the exact analytic solution for the asymptotic probability density. A distinct feature of this solution is a phase lag between the driving signal and the linear response of the system...
May 2004: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics