Department of Mathematics
University of Turin, Italy
email: marino.badiale@unito.it
Department of Mathematics
University of Turin, Italy
email: isabella.cravero@unito.it
Marino Badiale, Isabella Cravero
Abstract:
We study a low-dimensional system of ordinary differential equations
modeling the interactions between nature and society.
The variables are renewable and non-renewable resources
(nature), and population, wealth and pollution (society).
We find equilibria for the system and study their stability.
Also we obtain several results on the stability of trajectories,
possible collapse trajectories, and societal "safe-harbors."
Submitted March 24, 2026. Published June 23, 2026.
Math Subject Classifications: 34A34, 34D20, 92D25.
Key Words: Ordinary differential equations; stability analysis; socio-environmental models.
DOI: 10.58997/ejde.2026.44
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| Marino Badiale Department of Mathematics University of Turin, Italy email: marino.badiale@unito.it | |
|
Isabella Cravero Department of Mathematics University of Turin, Italy email: isabella.cravero@unito.it |
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