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The Impact of Movement on Disease Dynamics in a Multi-city Compartmental Model Including Residency Patch

In: Mathematical and Computational Approaches in Advancing Modern Science and Engineering

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  • Diána Knipl

    (York University, Agent-Based Modelling Laboratory, 331 Lumbers
    University of Szeged, MTA–SZTE Analysis and Stochastic Research Group
    University College London, Department of Mathematics)

Abstract

The impact of population dispersal Population dispersal between two cities on the spread of a disease is investigated analytically. A general SIRS model SIRS model is presented that tracks the place of residence of individuals, allowing for different movement rates of local residents and visitors in a city. Provided the basic reproduction number Basic reproduction number is greater than one, we demonstrate in our model that increasing the travel volumes of some infected groups may result in the extinction of a disease, even though the disease cannot be eliminated in each city when the cities are isolated.

Suggested Citation

  • Diána Knipl, 2016. "The Impact of Movement on Disease Dynamics in a Multi-city Compartmental Model Including Residency Patch," Springer Books, in: Jacques Bélair & Ian A. Frigaard & Herb Kunze & Roman Makarov & Roderick Melnik & Raymond J. Spiteri (ed.), Mathematical and Computational Approaches in Advancing Modern Science and Engineering, pages 255-265, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-30379-6_24
    DOI: 10.1007/978-3-319-30379-6_24
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