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Optimal Screening in Structured SIR Epidemics

Published online by Cambridge University Press:  06 June 2012

B. Ainseba  and
M. Iannelli
B. Ainseba
Affiliation:
Bordeaux University, Institut de Mathématiques de Bordeaux, UMR CNRS 5251, Case 26, Université Bordeaux Ségalen, 3 Place de la Victoire, 33076 Bordeaux Cedex, France
M. Iannelli*
Affiliation:
Department of mathematics, University of Trento, 38050 Povo, Trento, Italy
*
⋆ Corresponding author. E-mail: bedreddine.ainseba@u-bordeaux2.fr
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Abstract

We present a model for describing the spread of an infectious disease with public screening measures to control the spread. We want to address the problem of determining an optimal screening strategy for a disease characterized by appreciable duration of the infectiveness period and by variability of the transmission risk. The specific disease we have in mind is the HIV infection. However the model will apply to a disease for which class-age structure is significant and should not be disregarded.

Keywords

PDE in connection with biologypopulation dynamicsepidemiologyoptimal control problems involving partial differential equations
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 7 , Issue 3: Epidemiology , 2012 , pp. 12 - 27
Copyright
© EDP Sciences, 2012

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