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Abstract and Applied Analysis
Volume 2014, Article ID 740256, 8 pages
Research Article

Stability Analysis of a Multigroup SEIR Epidemic Model with General Latency Distributions

School of Mathematical Science, Heilongjiang University, Harbin 150080, China

Received 11 February 2014; Accepted 27 March 2014; Published 17 April 2014

Academic Editor: Kaifa Wang

Copyright © 2014 Nan Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The global stability of a multigroup SEIR epidemic model with general latency distribution and general incidence rate is investigated. Under the given assumptions, the basic reproduction number is defined and proved as the role of a threshold; that is, the disease-free equilibrium is globally asymptotically stable if , while an endemic equilibrium exists uniquely and is globally asymptotically stable if . For the proofs, we apply the classical method of Lyapunov functionals and a recently developed graph-theoretic approach.