Hastings and Powell [Ecology 72(3) (1991) 896] produced a new example of a chaotic population system in a simple tri-trophic food chain with Holling type 11 functional response. Toxin producing phyto plankton (TPP) reduces the grazing pressure of zooplankton. The present note modifies Hastings and Powell model by introducing an extra mortality term in zooplankton population. Our result suggests that chaotic behaviour less likely occurs in a real food chain dynamics. (C) 2002 Elsevier Science B.V. All rights reserved.