About the Authors

Yijun Lou

Contributed equally to this work with: Yijun Lou, Redouane Qesmi, Qian Wang

Affiliations Mathematics and Statistics, York University, Toronto, Ontario, Canada, Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong

Redouane Qesmi

Contributed equally to this work with: Yijun Lou, Redouane Qesmi, Qian Wang

Affiliations Mathematics and Statistics, York University, Toronto, Ontario, Canada, Ecole Superieure de Technologie, Université Sidi Mohamed Ben Abdellah, Fès, Morocco

Qian Wang

Contributed equally to this work with: Yijun Lou, Redouane Qesmi, Qian Wang

Affiliation Mathematics and Statistics, York University, Toronto, Ontario, Canada

Marc Steben

Affiliation Institut National de Santé Publique du Québec, Montréal, Québec, Canada

Jianhong Wu

Affiliations Mathematics and Statistics, York University, Toronto, Ontario, Canada, Centre for Disease Modelling, York Institute for Health Research, York University, Toronto, Ontario, Canada

Jane M. Heffernan

jmheffer@yorku.ca

Affiliations Mathematics and Statistics, York University, Toronto, Ontario, Canada, Centre for Disease Modelling, York Institute for Health Research, York University, Toronto, Ontario, Canada

Competing Interests

MS has received research, lecture and travel funds from GlaxoSmithKline. This does not alter the authors' adherence to all the PLOS ONE policies on sharing data and materials.

Author Contributions

Conceived and designed the experiments: QW RQ JMH JW MS. Performed the experiments: QW RQ YL JMH. Analyzed the data: QW RQ YL JMH. Contributed reagents/materials/analysis tools: QW RQ TL JMH JW MS. Wrote the paper: QW RQ YL JMH JW MS.