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Convergence and permanence of a delayed Nicholson’s Blowflies model with feedback control

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Abstract

In this paper, we study a generalized Nicholson’s Blowflies model with feedback control and multiple time-varying delays. Under proper conditions, we employ a novel proof to establish some criteria to guarantee the global exponential convergence and permanence of this model. Moreover, we give two examples to illustrate our main results.

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Authors and Affiliations

  1. College of Mathematics and Computational Science, Hunan University of Arts and Science, Changde, Hunan, 415000, P.R. China

    Changhong Zhao

  2. College of Mathematics, Physics and Information Engineering, Jiaxing University, Jiaxing, Zhejiang, 314001, P.R. China

    Lijuan Wang

Authors
  1. Changhong Zhao
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  2. Lijuan Wang
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Correspondence to Lijuan Wang.

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Zhao, C., Wang, L. Convergence and permanence of a delayed Nicholson’s Blowflies model with feedback control. J. Appl. Math. Comput. 38, 407–415 (2012). https://doi.org/10.1007/s12190-011-0486-z

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  • DOI: https://doi.org/10.1007/s12190-011-0486-z

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