Abstract
The new type rural social endowment insurance system is one of the important policy arrangements in public welfare field in China. Quantitative research is theoretically and practically important for studying the new type rural social endowment insurance system. In this paper, based on the modern control theory, the linear control model for the new type rural social endowment insurance system is set up, and then the robust stability for the new type rural social endowment insurance system of China with minor fluctuations is discussed by using the linear control model.
Highlights
With the rapid growing of the rural aging population, support demand of the elderly rural population has gradually increased in China
By June 2011, nine provinces municipalities and autonomous regions had realized the full coverage of new type rural social endowment insurance system, and pilot work has made remarkable achievement
I The new type rural social endowment insurance funds should be made of individual contributions, collective benefits, and government subsidies. i The payments of the rural individual person: the individual contributions of the new type rural social endowment insurance, unlike the poor social assistance and social relief system, is a prerequisite for the enjoyment of the treatment
Summary
With the rapid growing of the rural aging population, support demand of the elderly rural population has gradually increased in China. I The new type rural social endowment insurance funds should be made of individual contributions, collective benefits, and government subsidies. From modern control theory perspective, the existing literature rarely quantitatively analyzed the new type rural social endowment insurance and the papers from macroscopical perspective on the mathematical model and stability analysis of the new type rural social pension insurance system are even rare. The use of modern control theory has a certain predominance to explore the mathematical model and stability analysis of the new type rural social pension insurance system. This paper, based on the modern theory of social security systems combining with related mathematical methods and control theory, sets up a differential equations model to quantitatively analyze the relations among the payments of the rural individual person, collective benefits, and financial subsidies. We analyze the robust stability of the new type rural social endowment insurance system
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