| Issue |
Math. Model. Nat. Phenom.
Volume 7, Number 3, 2012
Epidemiology
|
|
|---|---|---|
| Page(s) | 12 - 27 | |
| DOI | https://doi.org/10.1051/mmnp/20127302 | |
| Published online | 06 June 2012 | |
Optimal Screening in Structured SIR Epidemics
1
Bordeaux University, Institut de Mathématiques de Bordeaux, UMR
CNRS 5251, Case 26, Université Bordeaux Ségalen, 3 Place de la Victoire, 33076
Bordeaux Cedex,
France
2
Department of mathematics, University of Trento,
38050
Povo, Trento, Italy
⋆ Corresponding author. E-mail: bedreddine.ainseba@u-bordeaux2.fr
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.
Mathematics Subject Classification: 35Q92 / 92D25 / 92D30 / 49J20
Key words: PDE in connection with biology / population dynamics / epidemiology / optimal control problems involving partial differential equations
© EDP Sciences, 2012
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