Electronic Journal of Differential Equations, Vol. 2004(2004), No. 108, pp. 1-5. Title: Persistence and extinction of single population in a polluted environment Authors: Zhan Li (Northeast Normal Univ., Changchun, China) Zhisheng Shuai (Northeast Normal Univ., Changchun, China) Ke Wang (Harbin Institute of Technology, Shandong, China) Abstract: In this paper, we consider the ODE system corresponding to a diffusive-convective model for the dynamics of a population living in a polluted environment. Sufficient criteria on persistence and extinction of the population are derived. Submitted January 9, 2004. Published September 12, 2004. Math Subject Classifications: 93C15. Key Words: Population dynamics; environment pollution; persistence.