UCL Discovery
UCL home » Library Services » Electronic resources » UCL Discovery

Stability criteria for a multi-city epidemic model with travel delays and infection during travel

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. Green open access

[thumbnail of Knipl Stability criteria for a multi-city epidemic model with travel delays and infection during travel FINAL VoR.pdf]
Preview
Text
Knipl Stability criteria for a multi-city epidemic model with travel delays and infection during travel FINAL VoR.pdf

Download (493kB) | Preview

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
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
Downloads since deposit
Loading...
0Downloads
Download activity - last month
Loading...
Download activity - last 12 months
Loading...
Downloads by country - last 12 months
Loading...

Archive Staff Only

View Item View Item