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Advances in Fixed Point Theory ISSN 1927-6303 (Print)

Archives › Volume 9, Number 2 (2019)

Adv. Fixed Point Theory 9 (2019), 99–110

Bifurcation and chaos of an SIS model with logistic term

Ning Cui, Xiaochun Zhong, Junhong Li

PDF (236.3 KB) https://doi.org/10.28919/afpt/4000

Abstract

This paper presents a discrete-time SIS epidemic model with Logistic term. The transcritical bifurcation, flip bifurcation and Hopf bifurcation are investigated. The results show that the epidemic system with Logistic growth of susceptible population has rich dynamic behaviors, including period-6, 7, 8, 10, 11-orbits and chaotic phenomena.

Published
1 April 2019
Volume
9 (2019)
License
CC BY 3.0

Copyright © 2019 Ning Cui, Xiaochun Zhong, Junhong Li. 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

N. Cui, X. Zhong, J. Li, Bifurcation and chaos of an SIS model with logistic term, Adv. Fixed Point Theory 9 (2019), 99–110. https://doi.org/10.28919/afpt/4000

BibTeX
@article{Cui2019,
  author  = {Cui, Ning and Zhong, Xiaochun and Li, Junhong},
  title   = {Bifurcation and chaos of an SIS model with logistic term},
  journal = {Adv. Fixed Point Theory},
  volume  = {9},
  year    = {2019},
  pages   = {99--110},
  doi     = {10.28919/afpt/4000}
}