Statistical Analysis of Ecological Mathematical Model Based on Differential Equation

Abstract

U Based on a systematic analysis of the theoretical development of Biostatistics and ecological mathematics at home and abroad, several representative ecological mathematical models are summarized. The respective research fields of Biostatistics and ecological mathematics, as well as the lack of their intersection and integration, are reviewed. The logistic model and GM (1, 1) The statistical modeling method and principle of the model, the logistic model group with correlation relationship and the two species Lotka Volterra model are estimated by two-way difference generalized weighted least square method, and applied to practical problems. Mathematical ecology in biological mathematics includes biostatistics and mathematical models of ecological population, which are mostly in the form of differential equations. Biostatistics and ecological population mathematical model (differential equation) have a long history of development in their respective research fields, with complete system, rich content and perfect theory. However, how to cross and integrate the research of these two directions, so as to promote the development of Biostatistics and biological population mathematical model, and then solve more practical specific problems, ecological population mathematical model generally only Qualitative description and analysis of the population. The parameters of the ecological population mathematical model (differential equation) are estimated by using the method and principle of Biostatistics, and the initial prediction value and parameter estimation are optimized in the logistic model and GM (1,1) model from various directions and angles, so that the ecological population differential equation model has further expansion and specific application.