Lyapunov functions and global stability for SIR, SIRS, and SIS epidemiological models


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Please use this identifier to cite or link to this item:http://hdl.handle.net/2115/33884

Title:	Lyapunov functions and global stability for SIR, SIRS, and SIS epidemiological models
Authors:	Korobeinikov, Andrei Browse this author
Authors:	Wake, Graeme C. Browse this author
Keywords:	Direct Lyapunov method
	Lyapunov functions
	epidemiological models
	endemic equilibrium state
	global stability
	MSC=92D30
	MSC=34D20
Issue Date:	Nov-2002
Publisher:	Elsevier
Journal Title:	Applied Mathematics Letters
Volume:	15
Issue:	8
Start Page:	955
End Page:	960
Publisher DOI:	10.1016/S0893-9659(02)00069-1
Abstract:	Lyapunov functions for classical SIR, SIRS, and SIS epidemiological models are introduced. Global stability of the endemic equilibrium states of the models is thereby established.
Relation:	http://www.sciencedirect.com/science/journal/08939659
Type:	article (author version)
URI:	http://hdl.handle.net/2115/33884
Appears in Collections:	電子科学研究所 (Research Institute for Electronic Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: Andrei Korobeinikov

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