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Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

Archives › Volume 2018 (2018)

Commun. Math. Biol. Neurosci. 2018 (2018), Article ID 11

Local dynamics of a three-dimensional host-parasite model

Mohammad Hossein Akrami, Mehdi Fatehi Nia

PDF (412.9 KB) https://doi.org/10.28919/cmbn/3643

Abstract

In this paper, local dynamics of a three-dimensional host parasite model as a discrete dynamical system has been studied. The existence of fixed points and stability behaviour near these points are investigated. By use of centre manifold theorem we describe the stability of non-hyperbolic fixed points. Some numerical simulations explain our theoretical results in better way.

Published
18 May 2018
Volume
2018 (2018)
License
CC BY 3.0

Copyright © 2018 Mohammad Hossein Akrami, Mehdi Fatehi Nia. 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

M. H. Akrami, M. Fatehi Nia, Local dynamics of a three-dimensional host-parasite model, Commun. Math. Biol. Neurosci. 2018 (2018), 11. https://doi.org/10.28919/cmbn/3643

BibTeX
@article{Akrami2018,
  author  = {Akrami, Mohammad Hossein and Fatehi Nia, Mehdi},
  title   = {Local dynamics of a three-dimensional host-parasite model},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2018},
  year    = {2018},
  pages   = {11},
  doi     = {10.28919/cmbn/3643}
}