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

Sara Soulaimani, Abdelilah Kaddar

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.

Full Text: PDF

Published: 2022-09-12

How to Cite this Article:

Sara Soulaimani, Abdelilah Kaddar, Stability analysis of an SEIS epidemic model with nonlinear incidence functional and immigration, Commun. Math. Biol. Neurosci., 2022 (2022), Article ID 87

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.

Commun. Math. Biol. Neurosci.

ISSN 2052-2541

Editorial Office: [email protected]

 

Copyright ©2024 CMBN