A note on the direction of the transcritical bifurcation in epidemic models

In classical epidemic models, it is common to observe that a disease-free equilibrium looses its stability for R0=1 and a transcritical bifurcation takes place. We analyze this aspect from the point of view of the mathematical structure of models, in order to assess which parts of the structure migh...

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Bibliographic Details
Main Author: Bruno Buonomo
Format: Article
Language:English
Published: Vilnius University Press 2015-01-01
Series:Nonlinear Analysis
Subjects:
Online Access:http://www.journals.vu.lt/nonlinear-analysis/article/view/13544