The Relationship Of The Government, The Environment And Economic Growth

Since the21st century, humanity has entered a period of rapid economic devel-opment, particularly in developing countries, in order to promote the rapid develop-ment of economy, the depletion of resources and energy shortage are more and moreserious because of the excessive use of resources. The environmental pollution andecological destruction problem have expanded from local to global, abnormal clima-te changes sounded the alarm of environmental degradation constantly. So we mustinsist on sustainable development strategy and explore the relationship between en-vironment and economy development.The sustained economic growth has an impact on the environment; meanwhile,the environment has certain reactions under certain conditions, they promote eachother and restrict each other. Many scholars established the environment and econo-mic growth mathematical model to simulate the relationship between them. Now inorder to adhere to the sustainable development strategy, how does the government asa key factor influence their interaction relations is one of the focuses of us in recentyears.This paper deals with the relative knowledge and do the following overview.First of all, this paper introduces the sufficient conditions for the existence of theoptimal solution of a general control problem, Pontryagin maximum principle andthe classical growth model. Then it introduces the model of economic growth withlinear production function, and applies the Pontryagin maximum principle to get theoptimal investment strategy, and then joins the environmental factors in theeconomic growth model, explores the effects of environmental factors on economicgrowth. Finally, we add the government factors to explore government factor’sinfluence on the relation between economic growth and the environment bycomparing the researches. So as to establish a proper economic development strategy.