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Epidemic Dynamics and Adaptive Vaccination Strategy: Renewal Equation Approach

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Abstract

We use analytical methods to investigate a continuous vaccination strategy’s effects on the infectious disease dynamics in a closed population and a demographically open population. The methodology and key assumptions are based on Breda et al. (J Biol Dyn 6(Sup2):103–117, 2012). We show that the cumulative force of infection for the closed population and the endemic force of infection in the demographically open population can be reduced significantly by combining two factors: the vaccine effectiveness and the vaccination rate. The impact of these factors on the force of infection can transform an endemic steady state into a disease-free state.

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Acknowledgements

This research was supported in part by a Discovery Grant to N. Madras from the Natural Sciences and Engineering Research Council of Canada. The authors wish to thank Mahnaz Alavinejad and Jianhong Wu for discussions of the paper of Breda et al. (2012).

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Authors and Affiliations

  1. Department of Mathematics and Statistics, York University, Toronto, ON, Canada

    Aubain Nzokem & Neal Madras

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  1. Aubain Nzokem
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  2. Neal Madras
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Correspondence to Aubain Nzokem.

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Nzokem, A., Madras, N. Epidemic Dynamics and Adaptive Vaccination Strategy: Renewal Equation Approach. Bull Math Biol 82, 122 (2020). https://doi.org/10.1007/s11538-020-00802-2

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  • DOI: https://doi.org/10.1007/s11538-020-00802-2

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