Abstract
With the development of biomathematics, population dynamics model is more and more applied to the research and protection of biological species and the quantitative development and management of biological resources. It can be used to describe and reveal the development process of biological population and regulate and control the development trend of species. This paper mainly analyzes the stability of the equilibrium point of the continuous coexistence of the predator-prey model based on logistic growth, taking the typical relationship between snow rabbit and lynx in ecology as an example, it is obtained that the equilibrium point of the sustainable coexistence of the two populations is M (18272, 19727).
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