In this paper we use global analysis techniques to analyze an economic growth model with environmental negative externalities, giving rise to a three-dimensional dynamic system (the framework is the one introduced by Wirl (1997) [53]). The dynamics of our model admits a locally attracting stationary state P * 1 , which is, in fact, a poverty trap, coexisting with another stationary state P * 2 possessing saddle-point stability. Global dynamical analysis shows that, under some conditions on the parameters, if the initial values of the state variables are close enough to the coordinates of P * 1 , then there exists a continuum of equilibrium trajectories approaching P * 1 and one trajectory approaching P * 2 . Therefore, our model exhibits global indeterminacy, since either P * 1 or P * 2 can be selected according to agent expectations. Moreover, we prove that conditions guaranteeing the attractivity of P * 1 also imply the saddle-point stability of P * 2 . However, when P * 1 is not attractive, numerical simulations show the possible existence of one or two limit cycles: an attractive one surrounding P * 1 and one endowed with a two-dimensional stable manifold surrounding P * 2 . © 2010 Elsevier Inc. All rights reserved. Open-access natural resources $ The authors wish to thank Tadashi Shigoka for his precious comments to a preliminary version of the article together with an associate editor and two referees of this journal, whose remarks and suggestions have allowed a substantial improvement of the work.