Mathematical Model of Development Level for Social Security System

Social security system which is a necessary means to retain social stability and economic development is an important sign of modern nations and society with civilization. Firstly, this paper analyses the relations among the sub indexes of development level for social security systems. Secondly, it sets up differential equations model to quantitatively analyze the relations among the sub indexes based on the hypotheses. Finally, it studies the solutions by the entropy method and estimates the parameters by the nonlinear least square method.