Novel Roles of Standard Lagrangians in Population Dynamics Modeling and Their Ecological Implications
Diana T. Pham,
Zdzislaw E. Musielak
Abstract:The Lagrangian formalism based on the standard Lagrangians, which are characterized by the presence of the kinetic and potential energy-like terms, is established for selected population dynamics models. A general method that allows for constructing such Lagrangians is developed, and its specific applications are presented and discussed. The obtained results are compared with the previously found Lagrangians, whose forms were different as they did not allow for identifying the energy-like terms. It is shown th… Show more
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