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Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

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Commun. Math. Biol. Neurosci. 2017 (2017), Article ID 15

Permanence of a food-chain system with stage structure and time delay

Zhihui Ma, Shufan Wang

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Abstract

A non-autonomous food-chain system incorporating discrete time delay and stage-structure for each species has been presented in this paper. The sufficient conditions are derived for permanence and non-permanence of the considered system by applying the standard comparison theorem. Finally, the ecological meaning of the conclusions are discussed.

https://doi.org/10.28919/cmbn/2325

Published
29 June 2017
Volume
2017 (2017)
License
CC BY 3.0

Copyright © 2017 Zhihui Ma, Shufan Wang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

Z. Ma, S. Wang, Permanence of a food-chain system with stage structure and time delay, Commun. Math. Biol. Neurosci. 2017 (2017), 15.

BibTeX
@article{Ma2017,
  author  = {Ma, Zhihui and Wang, Shufan},
  title   = {Permanence of a food-chain system with stage structure and time delay},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2017},
  year    = {2017},
  pages   = {15},
  doi     = {}
}