Analytical Expressions for Commensal-Host Ecological Model: Homotopy Perturbation Method

Ananthaswamy, V.; Amalraj, L. Sahaya

doi:10.11648/j.ajam.20140205.11

Cited by 1 publication

(1 citation statement)

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“…There have been many studies in which the population dynamics models considered in this paper were applied to real-world ecological scenarios. For example, the Lotka-Volterra model was used to study the marine phage population dynamics (e.g., [47]) or the stability of the model with time-varying delays (e.g., [48]) or changes in the density of a population in community ecology resulting from this model (e.g., [49]). There are applications of other models considered in this paper, with the applications of the SIR model to the COVID-19 pandemic being both interesting and relevant (e.g., [50,51]).…”

Section: Applications To Real-world Ecological Scenariosmentioning

confidence: 99%

Novel Roles of Standard Lagrangians in Population Dynamics Modeling and Their Ecological Implications

Pham,

Musielak

2023

Mathematics

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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 that the derived standard Lagrangians for the population dynamics models can be used to study the oscillatory behavior of the models and the period of their oscillations, which may have ecological and environmental implications. Moreover, other physical and biological insights that can be gained from the constructed standard Lagrangians are also discussed.

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