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

Archives › Volume 2022 (2022)

Commun. Math. Biol. Neurosci. 2022 (2022), Article ID 50

A stochastic hybrid differential equation model: Analysis and application

Amine El Koufi, Nouhaila El Koufi

PDF (324.4 KB) https://doi.org/10.28919/cmbn/7447

Abstract

Infectious diseases represent a real challenge to humanity and a true challenge for researchers to propose relevant solutions in order to reduce the number of infected individuals. Mathematical modeling of infectious diseases represents a better way to understand and control the spread of epidemics. In this work, we propose a stochastic SIQS epidemic model with a nonlinear incidence function and Markov switching. Firstly, we present our proposed stochastic model and its parameters. Secondly, we show the global existence and uniqueness of the positive solution. Then, we show a sufficient condition for the extinction of disease. Finally, we give numerical simulation to enrich our analytical results.

Published
8 June 2022
Volume
2022 (2022)
License
CC BY 3.0

Copyright © 2022 Amine El Koufi, Nouhaila El Koufi. 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, N. El Koufi, A stochastic hybrid differential equation model: Analysis and application, Commun. Math. Biol. Neurosci. 2022 (2022), 50. https://doi.org/10.28919/cmbn/7447

BibTeX
@article{Koufi2022,
  author  = {El Koufi, Amine and El Koufi, Nouhaila},
  title   = {A stochastic hybrid differential equation model: Analysis and application},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2022},
  year    = {2022},
  pages   = {50},
  doi     = {10.28919/cmbn/7447}
}