An Ecology and Economy Coupling Model. A global stationary state model for a sustainable economy in the Hamiltonian formalism

Massimo Scalia, Aurelio Angelini, Francesca Farioli, Gianni Francesco Mattioli, Orlando Ragnisco and Marialuisa Saviano

Ecological Economics, 2020, vol. 172, issue C

Abstract: The severity of the two deeply correlated crises, the environmental and the economic ones, needs to be faced also in theoretical terms; thus, the authors propose a model yielding a global “stationary state”, following the idea of a “steady-state economics” by Georgescu-Rogen and Herman Daly, by constructing only one dynamical system of ecological and economic coupled variables. This is possible resorting to the generalized Volterra model, that, translated in the Hamiltonian formalism and its Hamilton equations, makes possible to “conjugate” every pair of variables, one economic, the other one ecological, in describing the behavior in time of a unique dynamical system.

Keywords: Unique dynamical system; Volterra generalized model; “Conjugate” Hamiltonian pairs; Quasi-periodic motions; Lyapunov stability; Global stationary state (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ecolec:v:172:y:2020:i:c:s0921800919301521

DOI: 10.1016/j.ecolecon.2019.106497

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