Skip to content
Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

Archives › Volume 2018 (2018)

Commun. Math. Biol. Neurosci. 2018 (2018), Article ID 13

Stability analysis of a stochastic SIS model with double epidemic hypothesis and specific nonlinear incidence rate

Amine EL Koufi, Mouhcine Naim, Abdelkrim Bennar, Noura Yousfi

PDF (177.1 KB) https://doi.org/10.28919/cmbn/3677

Abstract

The purpose of this work is to investigate the almost surely exponentially stable of a stochastic SIS model with double epidemic hypothesis and specific nonlinear incidence rate. We establish the global existence and positivity of solution. Furthermore, the stability of the disease-free equilibrium of the model are showed. The analytical results are illustrated by computer simulations.

Published
13 June 2018
Volume
2018 (2018)
License
CC BY 3.0

Copyright © 2018 Amine EL Koufi, Mouhcine Naim, Abdelkrim Bennar, Noura Yousfi. 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

A. EL Koufi, M. Naim, A. Bennar, N. Yousfi, Stability analysis of a stochastic SIS model with double epidemic hypothesis and specific nonlinear incidence rate, Commun. Math. Biol. Neurosci. 2018 (2018), 13. https://doi.org/10.28919/cmbn/3677

BibTeX
@article{Koufi2018,
  author  = {EL Koufi, Amine and Naim, Mouhcine and Bennar, Abdelkrim and Yousfi, Noura},
  title   = {Stability analysis of a stochastic SIS model with double epidemic hypothesis and specific nonlinear incidence rate},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2018},
  year    = {2018},
  pages   = {13},
  doi     = {10.28919/cmbn/3677}
}