Abstract
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 Statement
The authors have declared no competing interest.
Copyright
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Posted March 30, 2022.
Lagrangian Formalism in Biology: I. Standard Lagrangians and their Role in Population Dynamics
