A simplest model of relaxation to equilibrium between two power branches

A simple model describing a temporal dynamics of relaxation to equilibrium in a system of two competing political forces (for instance, two power branches) is built and investigated preliminary. A dependence of equilibrium values of power levels, time of relaxation to equilibrium and other relevant quantities from behavioral properties of partners (for instance, from their “love to power”) is studied. As a mathematical object the model is a system of two non-linear first order ordinary differential equations.