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HOPF BIFURCATION OF AN SEIRS MODEL WITH AGE STRUCTURE AND TIME DELAY.
- Source :
-
Journal of Biological Systems . Mar2023, Vol. 31 Issue 1, p245-269. 25p. - Publication Year :
- 2023
-
Abstract
- Age structure and delay play a significant role in determining the dynamics of the diseases. In this paper, an SEIRS epidemic model with age structure and time delay is investigated, where the loss of the acquired immunity and delay are incorporated. Through some rigorous analyses, an explicit formula for the basic reproduction number of the model is calculated, and some results about stability and instability of equilibria for the model are established. The findings show that the age structure and delay can produce Hopf bifurcation for an SEIRS model. The numerical examples are executed to illustrate the theoretical results. [ABSTRACT FROM AUTHOR]
- Subjects :
- *HOPF bifurcations
*BASIC reproduction number
*AGE
Subjects
Details
- Language :
- English
- ISSN :
- 02183390
- Volume :
- 31
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Biological Systems
- Publication Type :
- Academic Journal
- Accession number :
- 162435901
- Full Text :
- https://doi.org/10.1142/S0218339023500122