In this paper we present a minimal integrated environment-economic growth model. The accumulations of capital and pollution are connected by reciprocal feedbacks. Pollution is an undesirable but inevitable by-product of production, whose efficiency is hindered by pollution. The nexus between pollution and production is embodied in a damage function. The evolution of capital is enriched by the specific technology adopted here, an $\mathcal{S}$-shaped production function. The model dynamics is represented by a couple of nonlinear differential equations, whose long run behavior gives rise to multiple stationary points. A global analysis underlines the importance of a meditated choice of the relevant policy parameters. Pollution induced poverty traps emerge for low level of saving ratio and share of abated emission. Periodic behaviour of the economic and environmental variables represents an early signal of the imminent risk of being trapped in an unsatisfactory level of economic performance. Numerical examples corroborate the theoretical results of the paper.

在本文中，我们提出了一个最小的环境经济综合增长模型。资本和污染的积累通过相互的反馈联系在一起。污染是一种不希望出现但不可避免的生产副产品，其效率受到污染的影响。污染与生产之间的联系体现在损害功能上。此处采用的特定技术丰富了资本的发展，$\mathcal{小号}$形生产功能。模型动力学由几个非线性微分方程表示，它们的长期行为会引起多个固定点。一项全球分析强调了必须慎重选择相关政策参数的重要性。由于储蓄率低和排放减少的份额，出现了由污染引起的贫困陷阱。经济和环境变量的周期性行为代表着陷入经济表现不佳水平的迫在眉睫的风险的早期信号。数值例子证实了本文的理论结果。