Knipl, D;
(2016)
Stability criteria for a multi-city epidemic model with travel delays and infection during travel.
Electronic Journal of Qualitative Theory of Differential Equations
, 2016
, Article 74. 10.14232/ejqtde.2016.1.74.
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Abstract
We present a compartmental SIR (susceptible-infected-recovered) model to describe the propagation of an infectious disease in a human population, when individuals travel between pp different cities. The time needed for travel between any two locations is incorporated, and we assume that disease progression is possible during travel. The model is equivalent to an autonomous system of differential equations with multiple delays, and each delayed term is defined through a system of ordinary differential equations. We establish some necessary and sufficient conditions for the disease-free equilibrium of the model to be asymptotically stable.
Type: | Article |
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Title: | Stability criteria for a multi-city epidemic model with travel delays and infection during travel |
Open access status: | An open access version is available from UCL Discovery |
DOI: | 10.14232/ejqtde.2016.1.74 |
Publisher version: | http://dx.doi.org/10.14232/ejqtde.2016.1.74 |
Language: | English |
Additional information: | This version is the author version of record. For information on re-use, please refer to the publisher’s terms and conditions. |
Keywords: | stability, functional differential equations, dynamically defined delayed term, epidemic model |
UCL classification: | UCL 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/1530129 |
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