Stability analysis of cryptosporidiosis disease SIR model under stochastic perturbations

Shaikhet, Leonid

doi:10.28919/cmbn/8983

Commun. Math. Biol. Neurosci. 2025 (2025), Article ID 7

Stability analysis of cryptosporidiosis disease SIR model under stochastic perturbations

Leonid Shaikhet

PDF (183.0 KB) https://doi.org/10.28919/cmbn/8983

Abstract

Using the known Cryptosporidiosis disease SIR model, a method of stability investigation for nonlinear systems of differential equations under stochastic perturbations is discussed. Stability conditions are obtained using the general method of Lyapunov functionals construction, the method of Linear Matrix Inequalities (LMIs) and MATLAB. The obtained results are illustrated via figures with numerical simulation of solutions of the system under consideration. The method can be applied for many other nonlinear systems of high order of nonlinearity in various applications.

Published: 3 January 2025
Volume: 2025 (2025)
License: CC BY 3.0

Copyright © 2025 Leonid Shaikhet. 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

L. Shaikhet, Stability analysis of cryptosporidiosis disease SIR model under stochastic perturbations, Commun. Math. Biol. Neurosci. 2025 (2025), 7. https://doi.org/10.28919/cmbn/8983

BibTeX

@article{Shaikhet2025,
  author  = {Shaikhet, Leonid},
  title   = {Stability analysis of cryptosporidiosis disease SIR model under stochastic perturbations},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2025},
  year    = {2025},
  pages   = {7},
  doi     = {10.28919/cmbn/8983}
}