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This paper aims to focus on the rise and decline of the Qing dynasty in Chinese history, and tries to explain the evolutionary phenomenon that when a dynasty became strong, it replaced the former established but deteriorating one, and then at the end of its development, it disappeared eventually by using interest models developed herein.

Systemic interest models are introduced to the study of Chinese history quantitatively. First, by briefly going over the history of Qing, the reasons for its rise and fall are analyzed qualitatively. Second, the concept of interest is generalized under some proper assumptions so that several interest models are established. At the end, intriguing conclusions are drawn by analyzing the numerical solutions of these interest models.

Comparing this paper's results of numerical solutions with the Qing's history, we can see that the stability of a country was essentially an external appearance of the conflict of interests between the ruling and ruled classes. Usually, the eventual social turbulence happened when the balance of interests deteriorated and was tilted excessively to one social class, and ended when the imbalance reached another state of equilibrium. Moreover, the stability of a country always appeared to be a cycle of “turbulence→peace→turbulence→ċ” which is similar to the evolutionary characteristics of general systems indicated by the systemic yoyo model. Furthermore, the cycle can be found in all the feudal dynasties throughout Chinese history.

The interest models presented in this article can be applied to the study of other social problems, such as corporation governance, the analysis of the national economic relationships, and others.

The concept of interest is generalized in this paper, and the relevant interest models provide good conclusions in our analysis of social and historical phenomena.