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Zbl 1187.34118
Liu, Bing; Zhang, Lei; Zhang, Qian
The effects of a single stage-structured population model with impulsive toxin input and time delays in a polluted environment. (English)
[J] Appl. Anal. 88, No. 8, 1143-1155 (2009). ISSN 0003-6811; ISSN 1563-504X/e

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.
[Xinyu Song (Xinyang)]

MSC 2000:: *34K60 Applications of functional-differential equations
34K45 Equations with impulses
92D40 Ecology

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

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