3.1 Model construction ideas
The study of enterprise innovation population dynamics has the characteristics of regional constraints.The ecological sense of apopulation is a collection of certain organisms within a given time and space.The region where the population grows is a relatively homogeneous nonlinear region that is different from the surrounding environment.There are universal temporal and spatial constraints in natural hierarchy systems.It reflects the similarities and differences between or within the innovation ecosystem.
The spatial distribution characteristics of different ecological regions such as size，shape，boundary，nature and distance make up different ecological zones，forming the differences of ecosystem，and regulating the growth process of population.The model of enterprise innovation population dynamics focuses on the quantity change of innovation population，and its changing rule is based on the nonlinear growth law of biological population quantity.The growth model of most species in nature are nonlinear.The phenomenon of nonlinear growth of innovative populations is also common.The number of innovative enterprises may change rapidly with the influence of incentive policies and innovation resources in a given period and a given area.
Competition and synergy within populations are also important factors，based on the intraspecific competition principle of biological populations.Competition exists within the biological population of nature.The more population，the more competition.Competition among populations has the function of regulating population size.There is also a certain competition mechanism in the innovation population，and this competition mechanism will suppress the excessive expansion of the innovation population to some extent.
Therefore，intraspecific competition is also one of the processes for the survival of the fittest.Thus，this mechanism should also be an important component of the growth model of entrepreneurial population.There is also competition or synergy relationship between the adjacent regional enterprises and innovative populations.Based on the above analysis，this paper uses the growth dynamics theory of biological population to study the development characteristics of enterprise innovation population.A population dynamics model and a dynamic model between adjacent regions are constructed.