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."
Socio-environmental models with low-dimensional nonlinear ODEs
Badiale, Marino;Cravero, Isabella
2026-01-01
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."
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