论文标题
生物学中的拉格朗日形式主义：I。标准拉格朗日及其在人群动态中的作用
Lagrangian Formalism in Biology: I. Standard Lagrangians and their Role in Population Dynamics
论文作者
论文摘要
Lagrangian形式主义是针对相互作用物种的种群动态发展的，这些动态由几种知名模型描述。形式主义基于标准的拉格朗日人，它代表了物理动力学和类似势能的术语之间的差异。提出了一种推导这些Lagrangian的方法，并应用于选定的人口动态理论模型。研究和讨论了派生的拉格朗日人和类似能量的术语在人群动态中的作用。建议获得的标准Lagrangians可用于确定不同人群模型之间的身体相似性。
The Lagrangian formalism is developed for the population dynamics of interacting species that are described by several well-known models. The formalism is based on standard Lagrangians, which represent differences between the physical kinetic and potential energy-like terms. A method to derive these Lagrangians is presented and applied to selected theoretical models of the population dynamics. The role of the derived Lagrangians and the energy-like terms in the population dynamics is investigated and discussed. It is suggested that the obtained standard Lagrangians can be used to identify physical similarities between different population models.
