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A new approach for designing disease intervention strategies in metapopulation models.

Knipl, D; (2016) A new approach for designing disease intervention strategies in metapopulation models. Journal of Biological Dynamics , 10 (1) pp. 71-94. 10.1080/17513758.2015.1107140. Green open access

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Abstract

We describe a new approach for investigating the control strategies of compartmental disease transmission models. The method rests on the construction of various alternative next-generation matrices, and makes use of the type reproduction number and the target reproduction number. A general metapopulation SIRS (susceptible-infected-recovered-susceptible) model is given to illustrate the application of the method. Such model is useful to study a wide variety of diseases where the population is distributed over geographically separated regions. Considering various control measures such as vaccination, social distancing, and travel restrictions, the procedure allows us to precisely describe in terms of the model parameters, how control methods should be implemented in the SIRS model to ensure disease elimination. In particular, we characterize cases where changing only the travel rates between the regions is sufficient to prevent an outbreak.

Type: Article
Title: A new approach for designing disease intervention strategies in metapopulation models.
Location: England
Open access status: An open access version is available from UCL Discovery
DOI: 10.1080/17513758.2015.1107140
Publisher version: http://dx.doi.org10.1080/17513758.2015.1107140
Language: English
Additional information: © 2015 The Author(s). Published by Taylor & Francis. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/ by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Keywords: 92D30, Metapopulation epidemic models, alternative next-generation matrix, intervention strategies, target reproduction number, type reproduction number
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
URI: https://discovery.ucl.ac.uk/id/eprint/1473749
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