逻辑斯蒂方程研究及应用

摘要

逻辑斯蒂方程（Logistic Equation）是数学生物学家Pierre-Francois Verhulst提出的著名的人口增长模型,为马尔萨斯（Malthus）人口模型的推广,从其问世以来,它的应用从人口增长模型拓展到很多领域,广泛应用于生物学、医学、经济管理学等方面。文章通过对种群增长和传染病传播问题方面的两个案例的讨论,阐述了逻辑斯蒂方程在生物学和医学中的实际应用,可知逻辑斯蒂方程作为经验方程,在不要求严密解释和推理的前提下,在诸多领域有其非常简便和实用的价值。%The logistic equation is famous model of population growth raised by mathematical biologist raised by Pierre-Francois Verhulst＇s about Malthus population model of promotion.Since its inception,its application to expand from a population growth model to many fields,widely used in biology,medicine,science and other aspects of economic management.By population growth problem and the problem of spread of infectious diseases to discuss the two cases described in logistic equation in biology and medicine practice.Discussion by the two cases concluded：Logistic equation as empirical equation,without strict interpretation and reasoning premise,it has very simple and practical value in many fields.