Acknowledgements
ALL - The editors would like to acknowledge Dionne Aleman, Chris Bauch, Catherine Beauchemin, Kbenesh Blayneh, Fred Brauer, Andreas Handel, Jane Heffernan, Randy Kobes, Geoff Mercer, Lih-Ing Roeger, Amber Smith and Jean Tewa.
S1
We thank the referees and Robert Smith? for their constructive comments. S2
This research was supported by the Natural Sciences and Engineering Research Council of Canada (NSERC) and the Mathematics of Information Technology and Complex Systems (MITACS).
S3
This research has been supported by the National Science and Engineering Council (NSERC) and Mathematics of Information Technology and Complex Systems(MITACS). S4
We are grateful to funding from NIH grant U01 GM087719. ES was also partially supported by the National Institute of General Medical Sciences MIDAS grant 5U54GM088491-02 and by the Vaccine Modeling Initiative (VMI) funded by the Bill and Melinda Gates Foundation. The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.
S5
We thank Shoshana Magnet, Penelope Ironstone-Catterall and Tim Reluga for technical discussions. JMT was supported through a postdoctoral appointment funded by a grant from the Ontario Ministry of Research and Innovation awarded to CTB. RJS is supported by an NSERC Discovery Grant, an Early Researcher Award and funding from MITACS. Handling editor for this manuscript was Jane Heffernan.
S6
We would like to acknowledge Sally Blower, Donald L. DeAngelis, Justin T. Okano, Kellie Swanton, and Bradley G. Wagner for useful discussions and comments. The research of CC was partially supported by NSF grant DMS-0816068. The research of SR was partially supported by NSF grant DMS-1022728.
S7
S8
It is with great sadness that I report the sudden passing of my dear friend and co-author, Dr Randy Kobes, whilst this paper was in revision. He will be sorely missed by his many friends and colleagues. I would like to thank Dr Seyed Moghadas for his helpful comments and assistance in designing the mean field model, and the referee for incisive and useful comments that have greatly improved the paper. This work was supported by a Natural Sciences and Engineering Research Council of Canada Discovery Grant.
S9
This work is partially supported by the National Sciences Foundation of China (60771026), Star Project of Taiyuan City (08121015) and Graduate Students’ Excellent Innovative Item of Shanxi Province (20090318). HZ is supported by NSERC, MITACS, the Public Health Agency of Canada, CFI/OIT new opportunity fund and an Ontario Early Research Award.
S10
This study was supported by the Canadian Institutes for Health Research [funding reference number 86937] and by the Natural Sciences and Engineering Research Council of Canada (CAAB). The authors wish to thank Dr. Shingo Iwami for his careful reading of the manuscript and helpful comments.
S11
GM and SB acknowledge partial funding from an Australian National Health and Medical Research Council strategic pandemic influenza grant.1
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