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Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

Archives › Volume 2022 (2022)

Commun. Math. Biol. Neurosci. 2022 (2022), Article ID 87

Stability analysis of an SEIS epidemic model with nonlinear incidence functional and immigration

Sara Soulaimani, Abdelilah Kaddar

PDF (699.5 KB) https://doi.org/10.28919/cmbn/7620

Abstract

In this research, we propose an SEIS epidemic model with immigration and nonlinear incidence rates, considering the impact of infectious forces in both the latent and infected periods. The local dynamics of an endemic equilibrium is examined. Using a suitable Lyapunov functional, we established the global asymptotic stability of the endemic equilibrium. For the SEIS model without immigration, we calculate the basic reproduction number and establish the global stability of equilibria by means of Lyapunov functionals. Finally, two examples with numerical simulations are given to illustrate the validity of our results.

Published
12 September 2022
Volume
2022 (2022)
License
CC BY 3.0

Copyright © 2022 Sara Soulaimani, Abdelilah Kaddar. 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

S. Soulaimani, A. Kaddar, Stability analysis of an SEIS epidemic model with nonlinear incidence functional and immigration, Commun. Math. Biol. Neurosci. 2022 (2022), 87. https://doi.org/10.28919/cmbn/7620

BibTeX
@article{Soulaimani2022,
  author  = {Soulaimani, Sara and Kaddar, Abdelilah},
  title   = {Stability analysis of an SEIS epidemic model with nonlinear incidence functional and immigration},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2022},
  year    = {2022},
  pages   = {87},
  doi     = {10.28919/cmbn/7620}
}