Mathematical Model of Global Demographic Processes

The investigations of laws of development of humanity carried out by S.Kapitza, and his Theory of population growth showed a range of paradoxical facts: an astonishing stability of the population growth law during very long time period; occilating behaviour of several internal parameters of the system; decrease of characteristic processes duration (scaling); limited applicability of the law in the past and in the present. In this article an attempt was maid, to apply a synergetic approach for investigation of human population grosth laws and describe if possible the facts, pointed out by S.Kapitza. Further, based on the model constructed, series of consequences and scenarios of further humanity evolution were proposed, possible questions were formulated, to develop the synergetic approach and concerning both qualitative and quantitative description of global demographic processes.