Multiregional SIR Model with Infection during Transportation

Authors

  • Diana H Knipl Analysis and Stochastics Research Group of the Hungarian Academy of Sciences Bolyai Institute, University of Szeged
  • Gergely Röst Bolyai Institute, University of Szeged

DOI:

https://doi.org/10.11145/j.biomath.2012.09.255

Keywords:

epidemic spread, transportation model, dynamically defined delay, Lipschitz continuity

Abstract

We present a general epidemic model to describe the spread of an infectious disease in several regions connected by transportation. We take into account that infected individuals not only carry the disease to a new place while traveling from one region to another, but transmit the disease during travel as well. We obtain that a model structured by travel time is equivalent to a large system of differential equations with multiple delays. By showing the local Lipschitz property of the dynamically defined delayed feedback function, we obtain existence and uniqueness of solutions of the system.

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Published

2012-09-28

Issue

Vol. 1 No. 1 (2012)

Section

Original Articles

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