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Mathematical models of contact patterns between age groups for predicting the spread of infectious diseases

Del Valle, Sara Y. and Hyman, J. M. and Chitnis, Nakul. (2013) Mathematical models of contact patterns between age groups for predicting the spread of infectious diseases. Mathematical biosciences and engineering, Vol. 10, H. 5-6. S. 1475-1497.

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Official URL: http://edoc.unibas.ch/dok/A6205621

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Abstract

The spread of an infectious disease is sensitive to the contact patterns in the population and to precautions people take to reduce the transmission of the disease. We investigate the impact that different mixing assumptions have on the spread an infectious disease in an age-structured ordinary differential equation model. We consider the impact of heterogeneity in susceptibility and infectivity within the population on the disease transmission. We apply the analysis to the spread of a smallpox-like disease, derive the formula for the reproduction number, ℜ0, and based on this threshold parameter, show the level of human behavioral change required to control the epidemic. We analyze how different mixing patterns can affect the disease prevalence, the cumulative number of new infections, and the final epidemic size. Our analysis indicates that the combination of residual immunity and behavioral changes during a smallpox-like disease outbreak can play a key role in halting infectious disease spread; and that realistic mixing patterns must be included in the epidemic model for the predictions to accurately reflect reality.
Faculties and Departments:09 Associated Institutions > Swiss Tropical and Public Health Institute (Swiss TPH)
09 Associated Institutions > Swiss Tropical and Public Health Institute (Swiss TPH) > Department of Epidemiology and Public Health (EPH) > Health Systems Research and Dynamic Modelling > Dynamical Modelling (Smith)
UniBasel Contributors:Chitnis, Nakul
Item Type:Article, refereed
Bibsysno:Link to catalogue
Publisher:Inst.]
Note:Publication type according to Uni Basel Research Database: Journal article
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Last Modified:04 Sep 2015 14:32
Deposited On:27 Feb 2014 15:45

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