Electronic Research Archive (Oct 2023)

Positive periodic solutions for discrete Nicholson system with multiple time-varying delays

  • Xinning Niu,
  • Huixin Liu ,
  • Dan Li ,
  • Yan Yan

DOI
https://doi.org/10.3934/era.2023354
Journal volume & issue
Vol. 31, no. 11
pp. 6982 – 6999

Abstract

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Fly communities exhibit rich ecological dynamics, and one of the important influencing factors is the interaction between species. A discrete Nicholson-type system with multiple time varying delays which considers the mutualism relationship between two fly species is investigated in this paper. Sufficient conditions for the existence of positive periodic solutions are elucidated. The result is obtained by the well-known continuation theorem of coincidence degree theory. An example is attached to illustrate our result. Moreover, the actual biological descriptions obtained from our main result are explained.

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