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Dynamical analysis of a three-dimensional discrete-time SIR model.
- Source :
- Journal of Difference Equations & Applications; Jun2024, Vol. 30 Issue 6, p721-754, 34p
- Publication Year :
- 2024
-
Abstract
- In this paper, we mainly study the dynamic properties of a class of three-dimensional SIR models. First, we use the complete discriminant theory of polynomials to obtain the parameter conditions for the topological types of each fixed point. Second, by employing the centre manifold theorem and bifurcation theory, we prove that the system may undergo transcritical, flip and Neimark–Sacker bifurcations at fixed points. Finally, we simulated all the codimension-1 bifurcations. We found that the system also has codimension-2 bifurcations, i.e. 1:2, 1:3 and 1:4 strong resonances. [ABSTRACT FROM AUTHOR]
- Subjects :
- HOPF bifurcations
BIFURCATION theory
THREE-dimensional modeling
RESONANCE
Subjects
Details
- Language :
- English
- ISSN :
- 10236198
- Volume :
- 30
- Issue :
- 6
- Database :
- Complementary Index
- Journal :
- Journal of Difference Equations & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 177457301
- Full Text :
- https://doi.org/10.1080/10236198.2024.2323173