NDLI: Analysis of symmetries in models of multi-strain infections

Content Provider	Springer Nature Link
Author	Blyuss, Konstantin B.
Copyright Year	2013
Abstract	In mathematical studies of the dynamics of multi-strain diseases caused by antigenically diverse pathogens, there is a substantial interest in analytical insights. Using the example of a generic model of multi-strain diseases with cross-immunity between strains, we show that a significant understanding of the stability of steady states and possible dynamical behaviours can be achieved when the symmetry of interactions between strains is taken into account. Techniques of equivariant bifurcation theory allow one to identify the type of possible symmetry-breaking Hopf bifurcation, as well as to classify different periodic solutions in terms of their spatial and temporal symmetries. The approach is also illustrated on other models of multi-strain diseases, where the same methodology provides a systematic understanding of bifurcation scenarios and periodic behaviours. The results of the analysis are quite generic, and have wider implications for understanding the dynamics of a large class of models of multi-strain diseases.
Ending Page	1459
Page Count	29
Starting Page	1431
File Format	PDF
ISSN	03036812
e-ISSN	14321416
Journal	Journal of Mathematical Biology
Issue Number	6-7
Volume Number	69
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2013-11-20
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Equivariant Bifurcation Theory Symmetries, equivariant bifurcation theory Mathematical and Computational Biology Multi-strain diseases Applications of Mathematics Epidemiology Symmetry
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Agricultural and Biological Sciences Modeling and Simulation

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