Some mathematical models of time evolution of the age-structured biological populations have been discussed. It has been shown that the genetic information represented by the distribution of the defective genes in the population under consideration can be included into the deterministic models which use ordinary differential equations or delay differential equations. The results for the equilibrium genetic populations have been compared with the equilibrium populations in the Penna model of genetic evolution. It has been stressed the difference between the models which use ordinary differential equations and delay differential equations.