, Volume 57, Issue 3, pp 375-382
Date: 28 Nov 2008

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

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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.

Supported by National Natural Science Foundation of China (10647005), and the Nomarch Foundation of Guizhou Province.