Knipl, DH;
Röst, G;
(2012)
Multiregional SIR model with infection during transportation.
Biomath
, 1
(1)
10.11145/j.biomath.2012.09.255.
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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.
| Type: | Article |
|---|---|
| Title: | Multiregional SIR model with infection during transportation |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.11145/j.biomath.2012.09.255 |
| Publisher version: | http://dx.doi.org/10.11145/j.biomath.2012.09.255 |
| Language: | English |
| Additional information: | This work is licensed under a Creative Commons Attribution 3.0 License (http://creativecommons.org/licenses/by/3.0/). |
| Keywords: | epidemic spread; transportation model; dynamically defined delay; Lipschitz continuity |
| UCL classification: | UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1473756 |
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