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.
Nan Wang. Jingmei Pang. Jinliang Wang. "Stability Analysis of a Multigroup SEIR Epidemic Model with General Latency Distributions." Abstr. Appl. Anal. 2014 (SI01) 1 - 8, 2014. https://doi.org/10.1155/2014/740256