Research on Logistic Population Prediction Model Based on Differential Equation

Abstract

Abstract By improving the logistic model, combined with the competition, symbiosis, and climatic factors of the population, a differential equation model is established to predict the future population change trend, and then the changing trend of each population under different precipitation climates is simulated, taking four plants as an example, the coefficients of the given differential equation model are solved by the fourth-order Runge-Kutta method, and the numerical change trend of the four populations is obtained, and the rationality of the results is analyzed. At the end of this paper, a sensitivity analysis is given, and the effects of natural growth rate, environmental capacity, and initial value on each plant are tested, and finally it is concluded that environmental capacity has the greatest effect on population size, and the influence of natural growth rate and initial value is small.