"Models of the interaction of population, the economy, and the environment often contain nonlinear functional relationships and variables that move at different speeds. These properties foster apparent unpredictabilities in system behaviour. Using a simple deterministic model of demographic, economic and environmental interactions we illustrate the usefulness of geometric singular perturbation theory in environmental population economics. In contrast to local stability analysis, the theory of slow-fast dynamics helps to gain new insights into the global behaviour of the system. In particular, the knowledge of the basins of attraction of the stationary states enables one to determine the regions of sustainable future paths of resources and population." (SUMMARY IN FRE)

中文翻译：

---

人口和资源增长模型中的慢速动态

“人口、经济和环境相互作用的模型通常包含非线性函数关系和以不同速度移动的变量。这些特性导致系统行为明显的不可预测性。我们使用一个简单的人口、经济和环境相互作用的确定性模型来说明几何奇异扰动理论在环境人口经济学中的有用性。与局部稳定性分析相比，慢-快动力学理论有助于获得对系统全局行为的新见解。特别是对引力盆地的了解静止状态使人们能够确定未来资源和人口可持续发展路径的区域。” （免费摘要）