A registration of age groups for the Hutchinson's equation

The dynamics of a generalized Hutchinson's equation with two delays is investigated. A local analysis of a loss of a stability for the nonzero equilibrium state for the problem has been made. Phase reorganizations have been analyzed with numerical methods with the help of the obtained asymptotic formulas. The bifurcation curves that correspond to the principal bifurcations, which take place in the system, have been built on the parameters' plane.