

Publisher: Edp Sciences
E-ISSN: 1270-900x|39|issue|1-6
ISSN: 1270-900x
Source: ESAIM: Proceedings, Vol.39, Iss.issue, 2013-05, pp. : 1-6
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Abstract
One of the most tools for describing the incubation period in the epidemiological dynamic models is the distributed delays. In this paper, we propose a delay-distributed SIR epidemic model with a nonlinear incidence rate. Using the Lyapunov theory and LaSalle’s principle, we show the global asymptotic stability of the disease-free and the endemic equilibria. This analysis extends and performs existing results.