Document Type
Article
Source Publication Title
Mathematical Biosciences
First Page
317
Last Page
332
DOI
http://dx.doi.org/10.1016/S0025-5564(01)00099-2
Abstract
We consider models for a disease with acute and chronic infective stages, and variable infectivity and recovery rates, within the context of a vaccination campaign. Models for SIRS and SIS disease cycles exhibit backward bifurcations under certain conditions, which complicate the criteria for success of the vaccination campaign by making it possible to have stable endemic states when R0 < 1. We also show the extent to which the forms of the infectivity and recovery functions affect the possibility of backward bifurcations. SIR and SI models examined do not exhibit this behavior.
Disciplines
Mathematics | Physical Sciences and Mathematics
Publication Date
1-1-2002
Language
English
License
This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.
Recommended Citation
Kribs, Christopher and Martcheva, Maia, "Vaccination strategies and backward bifurcation in age-since-infection structured model" (2002). Mathematics Faculty Publications. 32.
https://mavmatrix.uta.edu/math_facpubs/32