若干生物种群模型简介

Introduction of Several Biological Population Models

本文介绍了单种群生物模型和双种群生物模型的构建。借用数学理论和方法,阐述了单种群在无限时间内生物量的增长趋势,包括在无限时间生物量无限增长趋势的马尔萨斯模型和生物量有限增长趋势的Logistic模型;讨论了两种存在相互竞争和共生关系的生物种群系统,根据变化规律推出相应的生物模型。

In this paper, the constructions of single-population biological model and dual-population biological model are introduced. With the help of mathematical theory and method, the growth trend of bio-mass of a single population in infinite time is described, including the Malthus model of infinite growth trend of biomass and the Logistic model of finite growth trend of biomass. Biological du-al-population systems with mutual competition and symbiosis are discussed and the corresponding biological models are derived according to the change law.