In this paper, we propose mathematical models for the spread of HIV in a network
of prisons. We study the effect of both screening prisoners and quarantining infectives. Efficient
algorithms based on Newton’s method are then developed for computing the equilibrium values of
the infectives in each prison. We also give an optimization formulation for obtaining the optimal
screening and quarantine policy. The models and algorithms developed can be extended to model
the spread of a disease in a general network of connected zones.
Publié le : 2007-05-15
Classification:
HIV,
prison system,
epidemic model,
equilibrium point,
Newton's method,
screening policy,
quarantine policy
@article{1211574969,
author = {Ching, Wai-ki and Cong, Yang and Bai, Zheng-jian and Ng, Tuen-wai},
title = {On Optimal Screening and Quarantining Policy in a Network of Prisons},
journal = {Commun. Inf. Syst.},
volume = {7},
number = {1},
year = {2007},
pages = { 313-336},
language = {en},
url = {http://dml.mathdoc.fr/item/1211574969}
}
Ching, Wai-ki; Cong, Yang; Bai, Zheng-jian; Ng, Tuen-wai. On Optimal Screening and Quarantining Policy in a Network of Prisons. Commun. Inf. Syst., Tome 7 (2007) no. 1, pp. 313-336. http://gdmltest.u-ga.fr/item/1211574969/