A Lyapunov function and global properties for SIR and SEIR epidemiological models with nonlinear incidence


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Please use this identifier to cite or link to this item:http://hdl.handle.net/2115/33881

Title:	A Lyapunov function and global properties for SIR and SEIR epidemiological models with nonlinear incidence
Authors:	Korobeinikov, Andrei Browse this author
Authors:	Maini, Philip K. Browse this author
Keywords:	Direct Lyapunov method
	endemic equilibrium state
	global stability
	nonlinear incidence
	MSC=92D30
	MSC=34D20
Issue Date:	Jun-2004
Publisher:	American Institute of Mathematical Sciences
Journal Title:	Mathematical Biosciences and Engineering
Volume:	1
Issue:	1
Start Page:	57
End Page:	60
Publisher DOI:	10.3934/mbe.2004.1.57
Abstract:	Explicit Lyapunov functions for SIR and SEIR compartmental epidemic models with nonlinear incidence of the form βIpSq for the case p≤1 are constructed. Global stability of the models is thereby established.
Rights:	http://aimsciences.org/
Type:	article
URI:	http://hdl.handle.net/2115/33881
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

OAI-PMH ( junii2 , jpcoar_1.0 )

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