Problems of regular behaviour and determined chaos in mathematical evolution model of the mendel limited population

We investigate the fitness differences model with Mendel limited population in cases of linear and exponential rules of selection. It was made the analytical and numerical investigation of the model. The research of model has shown, that there are such models of evolution, at which there are the regular or chaotic fluctuations of the population number; but the genetic structure becomes stationary. There are described conditions of density depended selection existence with population number fluctuations on background and possibility of cycling and chaotic dynamics of genetic structure.