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Global attractivity for a nonautonomous Nicholson's equation with mixed monotonicities

Classical Analysis and ODEs 2021-12-22 v1

Abstract

We consider a Nicholson's equation with multiple pairs of time-varying delays and nonlinear terms given by mixed monotone functions. Sufficient conditions for the permanence, local stability and global attractivity of its positive equilibrium are established. Our criteria depend on the size of some delays, improve results in recent literature and provide answers to some open problems.

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Cite

@article{arxiv.2106.11194,
  title  = {Global attractivity for a nonautonomous Nicholson's equation with mixed monotonicities},
  author = {Teresa Faria and Henrique C. Prates},
  journal= {arXiv preprint arXiv:2106.11194},
  year   = {2021}
}

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17 pages