摘要：The paper considers a nonlinear mathematical model of economic cooperation between two politically mutually opposing sides (possibly a country or a country and its subject) that takes into account economic or other type of cooperation between parts of the population of the sides aimed at convergence and peaceful resolution of the conflict. The model implies that the process of economic cooperation is free from political pressure, i.e. the governments of the sides and the third external side does not interfere in this process. A dynamic system has been obtained that describes the dynamics of parts of the population of the sides, focused on cooperation. The model also assumes that both sides have a zero demographic factor, i.e. during the process, the sum of supporters and opponents of cooperation is unchanged. In the case of constancy of the coefficients of the mathematical model, singular points of the nonlinear system of differential equations are found. The problem of stability of solutions is studied. In the case of some dependence between the constant coefficients of the model, the first integral and the exact analytic solution are found. The exact solution obtained allows, within the limits of the given mathematical model and the dependence between its coefficients, to determine the conditions under which economic cooperation can peacefully resolve a political conflict (most of the populations of the sides want conflict resolution).
关键词：mathematical model of resolution of conflict;dynamic system;stability of solutions;exact solutions.
