Timely identification of optimal control strategies for emerging infectious diseases

https://doi.org/10.1016/j.jtbi.2009.03.006Get rights and content

Abstract

Background

Health authorities must rely on quarantine, isolation, and other non-pharmaceutical interventions to contain outbreaks of newly emerging human diseases.

Methods

We modeled a generic disease caused by a pathogen apparently transmitted by close interpersonal contact, but about which little else is known. In our model, people may be infectious while incubating or during their prodrome or acute illness. We derived an expression for , the reproduction number, took its partial derivatives with respect to control parameters, and encoded these analytical results in a user-friendly Mathematica™ notebook. With biological parameters for SARS estimated from the initial case series in Hong Kong and infection rates from hospitalizations in Singapore, we determined 's sensitivity to control parameters.

Results

Stage-specific infection rate estimates from cases hospitalized before quarantine began exceed those from the entire outbreak, but are qualitatively similar: infectiousness was negligible until symptom onset, and increased 10-fold from prodrome to acute illness. Given such information, authorities might instead have emphasized a strategy whose efficiency more than compensates for any possible reduction in efficacy.

Conclusions

In future outbreaks of new human diseases transmitted via close interpersonal contact, it should be possible to identify the optimal intervention early enough to facilitate effective decision-making.

Keywords

Mathematical modeling
Emerging infections
Outbreak-control strategies
Social responses

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The opinions expressed by authors do not necessarily reflect those of the Centers for Disease Control and Prevention or other institutions with which they are affiliated.

1

Mathematics Department, Southern Illinois University, Mail Code 4408, 1245 Lincoln Drive, Carbondale, IL 62901, USA.

2

1130 South Michigan Avenue, Apartment 3305, Chicago, IL 60605, USA.

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