Global Analysis for a Delay-Distributed SIR Epidemic Model

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

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

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.