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Permanence for nonautonomous differential systems with delays in the linear and nonlinear terms

Dynamical Systems 2021-06-22 v2 Classical Analysis and ODEs

Abstract

In this paper, we obtain sufficient conditions for the permanence of a family of nonautonomous systems of delay differential equations. This family includes structured models from mathematical biology, with either discrete or distributed delays in both the linear and nonlinear terms, and where typically the nonlinear terms are nonmonotone. Applications to generalized Nicholson or Mackey-Glass systems are given.

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Cite

@article{arxiv.2010.04102,
  title  = {Permanence for nonautonomous differential systems with delays in the linear and nonlinear terms},
  author = {Teresa Faria},
  journal= {arXiv preprint arXiv:2010.04102},
  year   = {2021}
}

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18 pages