Selective pinning control of the average disease transmissibility in an HIV contact network

E. F. du Toit and I. K. Craig
Phys. Rev. E 92, 012810 – Published 14 July 2015

Abstract

Medication is applied to the HIV-infected nodes of high-risk contact networks with the aim of controlling the spread of disease to a predetermined maximum level. This intervention, known as pinning control, is performed both selectively and randomly in the network. These strategies are applied to 300 independent realizations per reference level of incidence on connected undirectional networks without isolated components and varying in size from 100 to 10 000 nodes per network. It is shown that a selective on-off pinning control strategy can control the networks studied with limited steady-state error and, comparing the medians of the doses from both strategies, uses 51.3% less medication than random pinning of all infected nodes. Selective pinning could possibly be used by public health specialists to identify the maximum level of HIV incidence in a population that can be achieved in a constrained funding environment.

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  • Received 8 October 2014
  • Revised 1 June 2015

DOI:https://doi.org/10.1103/PhysRevE.92.012810

©2015 American Physical Society

Authors & Affiliations

E. F. du Toit and I. K. Craig*

  • Department of Electrical, Electronic and Computer Engineering, University of Pretoria, 0002 Pretoria, South Africa

  • *Corresponding author: ian.craig@up.ac.za

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Vol. 92, Iss. 1 — July 2015

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