Analogies between logistic equation and relativistic cosmology
Steve Dussault, Valerio Faraoni, and Andrea Giusti
TL;DR
This paper explores formal analogies between the logistic equation and relativistic cosmology, deriving new symmetries and an effective Lagrangian and Hamiltonian for the logistic equation.
Contribution
It introduces novel mathematical analogies and symmetries linking logistic growth models with Einstein-Friedmann cosmological equations.
Findings
Derived an effective Lagrangian and Hamiltonian for the logistic equation
Identified new symmetries in the logistic equation
Established formal analogies with relativistic cosmology
Abstract
We develop several formal analogies between the logistic equation and the spatially homogeneous and isotropic relativistic cosmology described by the Einstein-Friedmann equations. These analogies produce an effective Lagrangian and Hamiltonian and new symmetries for the logistic equation.
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