Evolution of two-element population in the space of population states : equilibrium states for asymmetrical fitness functions

The analysis of a population in a factor space of population states sheds light on the dynamics of reaching the equilibrium state. The evolution of states follows two phases: the fast concentration of the population and a slow movement of the almost homogenous population towards the optimum. The location of equilibrium states depends on the fitness functions. For asymmetrical fitness functions, the same phenomena as for symmetrical ones are observed: the number of fixed points depends on the modality of the fitness function, there are stable and unstable fixed points. The latter ones appear when the standard deviation of mutation was increased.