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The effects of a single stage-structured population model with impulsive toxin input and time delays in a polluted environment. (English) Zbl 1187.34118
In this paper, the authors consider 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 the authors assume that only the mature individuals are affected by pollutants. The conditions for the global attractivity of the population-extinction periodic solution and the permanence of the population are obtained. The authors 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 the theoretical results.
MSC:
34K60Qualitative investigation and simulation of models
34K45Functional-differential equations with impulses
92D40Ecology