Kinetic equation for nonstationar civilization evolution models

The mathematical modeling method is applied to the nonstationar civilization evolution problem. The principal approach to this problem is formulated in terms of population ages distribution function. The quasilinear integral equation for assimilation processes is introduced. The kinetic equation for the Russian demography situation with migration have been numerically solved up to 2020 year. The long-time prognosis have been also considered for the model of quasilinear population.