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- Title
Stability criteria for a multi-city epidemic model with travel delays and infection during travel.
- Authors
Knipl, Diána
- 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 p 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.
- Subjects
TRAVEL delays &; cancellations; COMMUNICABLE diseases; DIFFERENTIAL equations; ASYMPTOTES; FUNCTIONAL differential equations
- Publication
Electronic Journal of Qualitative Theory of Differential Equations, 2016, Issue 1-122, p1
- ISSN
1417-3875
- Publication type
Article
- DOI
10.14232/ejqtde.2016.1.74