Estimating seasonal drivers in childhood infectious diseases with continuous time and discrete-time models

Daniel P. Word, George H. Abbott, Derek Cummings, Carl D. Laird

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Many important factors affect the spread of childhood infectious disease. To better understand the fundamental drivers of infectious disease spread, several researchers have estimated seasonal transmission coefficients in discrete-time models. In this paper, we build upon this previous work and also develop a framework for efficient estimation using continuous differential equation models. We introduce nonlinear programming formulations to efficiently estimate model parameters and seasonal transmission profiles from existing case count data for the childhood disease, measles. We compare results from discrete time and continuous time models and address several shortcomings of the discrete-time method, including removing the need for the data reporting interval to match the time between successive cases in the chain of transmission or serial interval of the disease. Using a simultaneous approach for optimization of differential equation systems, we demonstrate that seasonal transmission parameters can be effectively estimated using continuous time models instead of discrete-time models.

Original languageEnglish (US)
Title of host publicationProceedings of the 2010 American Control Conference, ACC 2010
Pages5137-5142
Number of pages6
StatePublished - 2010
Event2010 American Control Conference, ACC 2010 - Baltimore, MD, United States
Duration: Jun 30 2010Jul 2 2010

Other

Other2010 American Control Conference, ACC 2010
CountryUnited States
CityBaltimore, MD
Period6/30/107/2/10

Fingerprint

Differential equations
Nonlinear programming

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Word, D. P., Abbott, G. H., Cummings, D., & Laird, C. D. (2010). Estimating seasonal drivers in childhood infectious diseases with continuous time and discrete-time models. In Proceedings of the 2010 American Control Conference, ACC 2010 (pp. 5137-5142). [5530474]

Estimating seasonal drivers in childhood infectious diseases with continuous time and discrete-time models. / Word, Daniel P.; Abbott, George H.; Cummings, Derek; Laird, Carl D.

Proceedings of the 2010 American Control Conference, ACC 2010. 2010. p. 5137-5142 5530474.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Word, DP, Abbott, GH, Cummings, D & Laird, CD 2010, Estimating seasonal drivers in childhood infectious diseases with continuous time and discrete-time models. in Proceedings of the 2010 American Control Conference, ACC 2010., 5530474, pp. 5137-5142, 2010 American Control Conference, ACC 2010, Baltimore, MD, United States, 6/30/10.
Word DP, Abbott GH, Cummings D, Laird CD. Estimating seasonal drivers in childhood infectious diseases with continuous time and discrete-time models. In Proceedings of the 2010 American Control Conference, ACC 2010. 2010. p. 5137-5142. 5530474
Word, Daniel P. ; Abbott, George H. ; Cummings, Derek ; Laird, Carl D. / Estimating seasonal drivers in childhood infectious diseases with continuous time and discrete-time models. Proceedings of the 2010 American Control Conference, ACC 2010. 2010. pp. 5137-5142
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