RT Journal Article
SR Electronic
T1 Lagrangian Formalism in Biology: I. Standard Lagrangians and their Role in Population Dynamics
JF bioRxiv
FD Cold Spring Harbor Laboratory
SP 2022.03.25.485848
DO 10.1101/2022.03.25.485848
A1 D.T. Pham
A1 Z.E. Musielak
YR 2022
UL http://biorxiv.org/content/early/2022/03/30/2022.03.25.485848.abstract
AB 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.Competing Interest StatementThe authors have declared no competing interest.