Analysis Of The Lotka-Volterra Model Of The Ecological Relationship And Evolution Trend Of Technology And Finance

With the advent of the new economic era and the continuous upgrading of industrial structure,the traditional comparative advantages on the road of development have been difficult to adapt to the new economic growth model,and some short-term,structural and long-term factors will impact and restrict the economic growth.Accelerating the transformation of China’s economic development pattern from extensive growth based on scale and speed to intensive growth based on quality and efficiency,and from factor-driven and investment-driven growth to innovation-driven growth is the key to the success or failure of China’s sustainable economic development.The driving force of economic development cannot be separated from scientific and technological innovation.To achieve development with better quality and higher efficiency,it can only be driven by innovation.Moreover,since the 18 th national congress of the CPC,China has formed the strategy of comprehensively implementing innovation-driven development under the leadership of the CPC central committee,and placed "innovation" as the primary driving force for development at the core of the country’s overall development.The most effective way to promote innovation-driven and transformational development is to give full play to the leading role of the government,so that the modern society’s resource allocation system with finance as the core can effectively allocate innovative resources,and make science and technology innovation enterprises become the main body of innovation.In this context,the study of the internal interaction mechanism between financial support and technological innovation has become a task of great significance in the current era.In modern economy,finance plays a role in promoting,guaranteeing and driving technological innovation,and the allocation of financial resources has a direct and significant impact on technological innovation decisions of micro enterprises.The interaction and integration between technological innovation and financial innovation is the most typical innovation ecosystem.This innovation system not only generates new technologies and products that cross or blur boundaries,but also generates new business forms and new economy.The article focuses on the ecological relationship between technological innovation and financial support for this innovation ecosystem.In this paper,introducing the lotka-volterra ecological model,which takes the predators and prey in the ecosphere as the research object,and describes the predation relationship between the two populations quantitatively through the established mathematical model.This article discusses the ecological relationship and evolution trend between technological innovation and financial support.In this paper,the mathematical model of applied scientific and technological innovation and financial support is firstly constructed by means of lotka-volterra model,and the significance of parameters in the model is discussed in detail.Then,the possible ecological relationship and evolution trend between financial support and technological innovation are analyzed theoretically.The specific ecological relationship includes: competition,predation and reciprocal cooperation.The results of theoretical analysis support more scientific and technological innovation and financial support to maintain the ecological relationship of mutually beneficial cooperation,which is more conducive to sustainable development.Then discussed ecological relationship based on mutual benefit cooperation between technological innovation and financial support to the existence of a stable equilibrium state,analysis the existence of the equilibrium state is the ideal state,but the stability of the equilibrium state is not conducive to breakthrough the existing technical bottleneck,the development of new technology innovation,so some scholars proposed chaos state to generalize an unstable equilibrium.Therefore,the unstable balance between technological innovation and financial support is a more sustainable development model.After the theoretical review,from a quantitative perspective,variable data were selected from the lotka-volterra ecological model to empirically analyze the ecological relationship and evolution trend of technological innovation and financial support,which is also the focus of this paper.In the chapter,the selection of variables and the acquisition of data in the model are introduced in detail.In the process of data processing,the normalization method is used to optimize the original sample data.The weight of variables is calculated by the entropy weight method,and the level-1 index data of technological innovation and financial support are obtained by weighted sum.Then,based on the lotka-volterra model and the ecosystem theory,a nonlinear ecological model of technological innovation and financial support was constructed,and the least square nonlinear regression method was used to analyze the estimated parameters of the model.The ecological relationship between technological innovation and financial support is analyzed from three aspects: natural growth coefficient,scale restriction coefficient and competition coefficient.Based on the stability theory of nonlinear differential equation,the evolution trend of technological innovation and financial support is analyzed.The results show that compared with the first quadrant,the two lines used to represent technological innovation and financial support intersect at a certain moment and reach an equilibrium state,which is the equilibrium state in the case of ideal continuous data.Since the data in this paper are all a series of discrete data rather than continuous data,the equilibrium state is unstable and easy to be transferred to other non-equilibrium states.This conclusion coincides with the situation of theoretical analysis.An unstable equilibrium state is more conducive to the sustainable development of the ecosystem supported by scientific innovation and finance.It can be seen from the evolution trend in the figure that the overall trend of scientific and technological innovation development is constantly strengthened,and the development of financial support is relatively slow.Therefore,it is urgent to pay more attention to supporting the rapid development of financial support.Finally,summarizing the development trends of the two shows that China’s science and technology financial environment is still in the immature stage of development,and it is still necessary to take further effective measures to strengthen the mutually beneficial cooperation between the two,and promote the economy to enter the development track of innovation-driven and endogenous growth.