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The effects of a single stage-structured population model with impulsive toxin input and time delays in a polluted environment

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Uncontrolled contribution of pollutant to the environment has led many species to extinction and several others are at the verge of extinction. This article deals with the dynamics of a single stage-structured population model with impulsive toxin input and time delays (including constant individual maturation time delay and pollution time delay) in a polluted environment, in which we assume that only the mature individuals are affected by pollutants. We obtain conditions for the global attractivity of the population-extinction periodic solution and the permanence of the population. We show that maturation time delay and impulsive toxin input can bring great effects on the dynamics of the system, and pollution time delay is harmless. Numerical simulations confirm our theoretical results.

Keywords: environmental pollution; global attractivity; impulsive toxin input; stage-structured; time delay

Document Type: Research Article


Affiliations: 1: Department of Mathematics, Anshan Normal University, Anshan, Liaoning 114007, PRC 2: Department of Mathematics, Liaoning Normal University, Dalian, Liaoning 116029, PRC

Publication date: 2009-08-01

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