Affordable Access

Bifurcation analysis pf periodic SEIR and SIR epidemic models.

Authors
  • Kuznetsov, Y A
  • Piccardi, C
Type
Published Article
Journal
Journal of mathematical biology
Publication Date
Jan 01, 1994
Volume
32
Issue
2
Pages
109–121
Identifiers
PMID: 8145028
Source
Medline
License
Unknown

Abstract

The bifurcations of the periodic solutions of SEIR and SIR epidemic models with sinusoidally varying contact rate are investigated. The analysis is carried out with respect to two parameters: the mean value and the degree of seasonality of the contact rate. The corresponding portraits in the two-parameter space are obtained by means of a numerical continuation method. Codimension two bifurcations (degenerate flips and cusps) are detected, and multiple stable modes of behavior are identified in various regions of the parameter space. Finally, it is shown how the parametric portrait of the SEIR model tends to that of the SIR model when the latent period tends to zero.

Report this publication

Statistics

Seen <100 times