Quarantine in a multi-species epidemic model with spatial dynamics

Julien Arino; Richard Jordan; P van den Driessche

doi:10.1016/j.mbs.2005.09.002

Quarantine in a multi-species epidemic model with spatial dynamics

Math Biosci. 2007 Mar;206(1):46-60. doi: 10.1016/j.mbs.2005.09.002. Epub 2005 Dec 15.

Authors

Julien Arino¹, Richard Jordan, P van den Driessche

Affiliation

¹ Department of Mathematics and Statistics, McMaster University, Hamilton, ON, Canada L8S 4K7. arinoj@cc.umanitoba.ca

PMID: 16343557
DOI: 10.1016/j.mbs.2005.09.002

Abstract

Motivation is provided for the development of infectious disease models that incorporate the movement of individuals over a range of spatial scales. A general model is formulated for a disease that can be transmitted between different species and multiple patches, and the behavior of the system is investigated in the case in which the spatial component consists of a ring of patches. The influence of various parameters on the spatial and temporal spread of the disease is studied numerically, with particular focus on the role of quarantine in the form of travel restriction.

Publication types

Research Support, Non-U.S. Gov't

MeSH terms

Algorithms
Animals
Birds
Communicable Disease Control / methods*
Disease Transmission, Infectious / prevention & control
Humans
Influenza in Birds / prevention & control
Influenza in Birds / transmission
Influenza, Human / prevention & control
Influenza, Human / transmission
Models, Biological*
Population Density
Population Dynamics
Quarantine*