The reinfection threshold
UNSPECIFIED. (2005) The reinfection threshold. JOURNAL OF THEORETICAL BIOLOGY, 236 (1). pp. 111-113. ISSN 0022-5193Full text not available from this repository.
Official URL: http://dx.doi.org/10.1016/j.jtbi.2005.03.001
Thresholds in transmission are responsible for critical changes in infectious disease epidemiology. The epidemic threshold indicates whether infection invades a totally susceptible population. The reinfection threshold indicates whether self-sustained transmission occurs in a population that has developed a degree of partial immunity to the pathogen (by previous infection or vaccination). In models that combine susceptible and partially immune individuals, the reinfection threshold is technically not a bifurcation of equilibria as correctly pointed out by Breban and Blower. However, we show that a branch of equilibria to a reinfection submodel bifurcates from the disease-free equilibrium as transmission crosses this threshold. Consequently, the full model indicates that levels of infection increase by two orders of magnitude and the effect of mass vaccination becomes negligible as transmission increases across the reinfection threshold. (c) 2005 Elsevier Ltd. All rights reserved.
|Item Type:||Journal Article|
|Subjects:||Q Science > QH Natural history > QH301 Biology|
|Journal or Publication Title:||JOURNAL OF THEORETICAL BIOLOGY|
|Publisher:||ACADEMIC PRESS LTD ELSEVIER SCIENCE LTD|
|Date:||7 September 2005|
|Number of Pages:||3|
|Page Range:||pp. 111-113|
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