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Global dynamics of a SEI epidemic model with immigration and generalized nonlinear incidence functional
- Source :
- Results in Physics, Vol 27, Iss , Pp 104477- (2021)
- Publication Year :
- 2021
- Publisher :
- Elsevier, 2021.
-
Abstract
- In this paper, the global dynamics of an SEIepidemic model with constant immigration and general nonlinear incidence function is investigated. It is shown that there is neither a disease free equilibrium nor a basic reproduction number for this kind of models containing immigration terms. Moreover, the existence of a unique endemic equilibrium is proved. Using second Lyapunov method, we establish the global stability of the positive equilibrium. For a specific type of incidence function, some numerical simulations are presented to validate the theoretical results.
- Subjects :
- SEI model
Second Lyapunov method
Global stability
Immigration
Physics
QC1-999
Subjects
Details
- Language :
- English
- ISSN :
- 22113797
- Volume :
- 27
- Issue :
- 104477-
- Database :
- Directory of Open Access Journals
- Journal :
- Results in Physics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.469397cb6593495d8445beacbcb6fc19
- Document Type :
- article
- Full Text :
- https://doi.org/10.1016/j.rinp.2021.104477