Work

Interactions Between Wealth and Natural Resources: A Nonlinear ODE Model

Year: 2025

Type: article

Abstract: In this paper we study an ODE model for the interaction between nature and society where the system dynamics is driven largely by the social wealth. The relevant variables are renewable resources, non-renewable ones, and wealth, while population depends on wealth and does not act on the other variables. We first obtain that the relevant trajectories are positive and cannot grow arbitrarily large. Then we compute all the equilibria and study their stability. We also give numerical simulations of some trajectory.

Source: Axioms

DOI: 10.3390/axioms14060430

Authors: Marino Badiale, Isabella Cravero

Institution: University of Turin

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

Open Access status: gold

Estimated APC paid: $2,896

OpenAlex ID: W4410956151

FWCI:

Cites: 16

Cited by:

Related to: 10