UNSPECIFIED (2002) Dynamics of multiple strains of infectious agents coupled by cross-immunity: A comparison of models. In: Workshop on Emerging and Reemerging Diseases, MAY 17-21, 1999, UNIV MINNESOTA, INST MATH APPL, MINNEAPOLIS, MN.

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Abstract

The aim of this paper is to provide an overview of existing models where multiple strains are coupled by cross-immunity. We discuss their differences and similarities, and propose a method to abstract some universal properties intrinsic to the coupling structure. More precisely, the coupling structure of a multiple-strain system can be organized as a matrix that is often invariant under many symmetry operations. Symmetries are known to constrain the behaviour of dynamical systems in many ways. Some symmetry effects are intuitive, but sometimes they can be rather subtle. Given that the assumptions and mechanisms of coupling strains are expected to have a major influence in determining the behaviour of the system, methods and techniques for abstracting their effects are valuable.

Item Type:	Conference Item (UNSPECIFIED)
Subjects:	Q Science > QA Mathematics
Series Name:	IMA VOLUMES IN MATHEMATICS AND ITS APPLICATIONS
Journal or Publication Title:	MATHEMATICAL APPROACHES FOR EMERGING AND REEMERGING INFECTIOUS DISEASES: MODELS, METHODS, AND THEORY
Publisher:	SPRINGER
ISBN:	0-387-95355-8
Editor:	CastilloChavez, C and Blower, S and VandenDriessche, P and Kirschner, D and Yakubu, AA
Date:	2002
Volume:	126
Number of Pages:	21
Page Range:	pp. 171-191
Publication Status:	Published
Title of Event:	Workshop on Emerging and Reemerging Diseases
Location of Event:	UNIV MINNESOTA, INST MATH APPL, MINNEAPOLIS, MN
Date(s) of Event:	MAY 17-21, 1999
URI:	http://wrap.warwick.ac.uk/id/eprint/10302

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