Nonlinear Dynamics

, Volume 57, Issue 3, pp 375–382

A stage-structured single species model with pulse input in a polluted environment

Original Paper

DOI: 10.1007/s11071-008-9448-x

Cite this article as:
Cai, S. Nonlinear Dyn (2009) 57: 375. doi:10.1007/s11071-008-9448-x


In this paper, we study a stage-structured single species model with pulse input in a polluted environment. Using the discrete dynamical system determined by the stroboscopic map, we obtain the globally attractive condition for the species-extinction periodic solution of the investigated system. By the use of the theory of impulsive delayed differential equation, we also obtain sufficient condition of the permanence of the investigated system. Our results reveal that long mature period of the population in polluted environment can cause it to go extinct.


Stage-structured single species modelImpulsive perturbationsPolluted environmentExtinctionPermanence

Copyright information

© Springer Science+Business Media B.V. 2008

Authors and Affiliations

  1. 1.Guizhou Key Laboratory of Economic System SimulationGuizhou College of Finance & EconomicsGuiyangPeople’s Republic of China