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Biomath Forum Multiregional SIR Model with Infection during Transportation

By Editor–in–chief Roumen Anguelov, Diána H. Knipl, Gergely Röst and Rj Nj

Abstract

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. Keywords-epidemic spread; transportation model; dynamically defined delay; Lipschitz continuit

Topics: TABLE I VARIABLES AND KEY MODEL PARAMETERS (j, k ∈ {1, n}) Sj, Ij
Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.353.3265
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