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Pseudo almost periodic dynamics of impulsive Nicholson’s blowflies model with nonlinear density-dependent mortality term

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Abstract

In this paper, a class of impulsive Nicholson’s blowflies model with linear harvesting term and nonlinear density-dependent mortality term is concerned. Under proper conditions, some criteria are established for the existence, uniqueness and exponentially stable of the piecewise weighted pseudo almost periodic solution for the model. Moreover, an example is given to illustrate the significance of the main findings.

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Authors and Affiliations

  1. Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou, 310023, Zhejiang, China

    Zhinan Xia & Zihui Li

  2. Zhijiang College, Zhejiang University of Technology, Shaoxing, Zhejiang, 312030, China

    Jinliang Chai

Authors
  1. Zhinan Xia
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  2. Zihui Li
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  3. Jinliang Chai
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Correspondence to Jinliang Chai.

Additional information

This research is supported by the National Natural Science Foundation of China (No. 11501507).

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Xia, Z., Li, Z. & Chai, J. Pseudo almost periodic dynamics of impulsive Nicholson’s blowflies model with nonlinear density-dependent mortality term. Japan J. Indust. Appl. Math. 35, 311–333 (2018). https://doi.org/10.1007/s13160-017-0288-2

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  • DOI: https://doi.org/10.1007/s13160-017-0288-2

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