Establishing a dynamic model based on stability theory of differential equations to study the predation relationship between biological populations and MATLAB implementation

Abstract

During the development of biological populations, differential equation stability models are often used to analyze the effects of predation relationships between populations on population numbers. This paper uses MALAB to plot the stability of the phenomena described by the model, verifying its equilibrium point and the shape of the trajectory. In the same time, the model has been successfully promoted, providing effective rationalization suggestions for practical production applications.