About models of homeostatic systems on the basis of differential equations with stochastic parameters

Abstract

It is offered to describe dynamics of society not by traditional methods of completely determined or stochastic model, and to use mathematical model of the differential equations with stochastic changeable basic parameters. The constructed four component model of society corresponds to the homeostatic system of the third type. The analysis shows that a part of such natural systems allows the description the models which are integrally combining properties of the determined and stochastic systems. Internal management and homeostasis give the interactions between system components determined on functional communications in dynamics, and the stochastics arises as result of influence of elementary interactions between simpler components of system.