Approximating Optimal Controls for Networks when There Are Combinations of Population-Level and Targeted Measures Available: Chlamydia Infection as a Case-Study

Using a modified one-dimensional model for the spread of an SIS disease on a network, we show that the behaviour of complex network simulations can be replicated with a simpler model. This model is then used to design optimal controls for use on the network, which would otherwise be unfeasible to ob...

Full description

Saved in:
Bibliographic Details
Published in:Bulletin of mathematical biology 2013-10, Vol.75 (10), p.1747-1777
Main Authors: Clarke, James, White, K. A. Jane, Turner, Katy
Format: Article
Language:English
Subjects:
Cell Biology
Chlamydia
Chlamydia Infections - epidemiology
Chlamydia Infections - prevention & control
Chlamydia Infections - transmission
Chlamydia trachomatis
Computational Biology
Computer Simulation
Contact tracing
Contact Tracing - economics
Contact Tracing - statistics & numerical data
Costs and Cost Analysis
Female
Humans
Life Sciences
Male
Mass Screening - economics
Mass Screening - statistics & numerical data
Mathematical and Computational Biology
Mathematical Concepts
Mathematics
Mathematics and Statistics
Models, Biological
Original Article
Poisson Distribution
Stochastic Processes
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Using a modified one-dimensional model for the spread of an SIS disease on a network, we show that the behaviour of complex network simulations can be replicated with a simpler model. This model is then used to design optimal controls for use on the network, which would otherwise be unfeasible to obtain, resulting in information about how best to combine a population-level random intervention with one that is more targeted. This technique is used to minimise intervention costs over a short time interval with a target prevalence, and also to minimise prevalence with a specified budget. When applied to chlamydia, we find results consistent with previous work; that is maximising targeted control (contact tracing) is important to using resources effectively, while high-intensity bursts of population control (screening) are more effective than maintaining a high level of coverage.
ISSN:0092-8240
1522-9602
DOI:10.1007/s11538-013-9867-9