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Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

Archives › Volume 2019 (2019)

Commun. Math. Biol. Neurosci. 2019 (2019), Article ID 23

Lie symmetry analysis of stochastic SIRS model

Maba Boniface Matadi

PDF (147.3 KB) https://doi.org/10.28919/cmbn/4188

Abstract

In this paper, we discuss the connection between Lie symmetry of a SIRS stochastic differential equations and its integrability. A derived determining equation is obtained and used to find the admitted Lie point symmetries of the stochastic model. A third dimensional system is reduced into a one dimensional to achieve a linear model by mean of Symmetry analysis techniques and obtained the corresponding Lie bracket.

Published
3 September 2019
Volume
2019 (2019)
License
CC BY 3.0

Copyright © 2019 Maba Boniface Matadi. 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. B. Matadi, Lie symmetry analysis of stochastic SIRS model, Commun. Math. Biol. Neurosci. 2019 (2019), 23. https://doi.org/10.28919/cmbn/4188

BibTeX
@article{Matadi2019,
  author  = {Matadi, Maba Boniface},
  title   = {Lie symmetry analysis of stochastic SIRS model},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2019},
  year    = {2019},
  pages   = {23},
  doi     = {10.28919/cmbn/4188}
}