Original Paper

Nonlinear Dynamics

, Volume 57, Issue 3, pp 375-382

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

  • Shaohong CaiAffiliated withGuizhou Key Laboratory of Economic System Simulation, Guizhou College of Finance & Economics Email author 

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Abstract

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.

Keywords

Stage-structured single species model Impulsive perturbations Polluted environment Extinction Permanence