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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.

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Authors and Affiliations

  1. Guizhou Key Laboratory of Economic System Simulation, Guizhou College of Finance & Economics, Guiyang, 550004, People’s Republic of China

    Shaohong Cai

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  1. Shaohong Cai
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Correspondence to Shaohong Cai.

Additional information

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

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Cai, S. A stage-structured single species model with pulse input in a polluted environment. Nonlinear Dyn 57, 375–382 (2009). https://doi.org/10.1007/s11071-008-9448-x

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  • DOI: https://doi.org/10.1007/s11071-008-9448-x

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