4.5 Article

Complete global stability for an SIR epidemic model with delay - Distributed or discrete

Journal

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
Volume 11, Issue 1, Pages 55-59

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2008.10.014

Keywords

Delay; Distributed delay; Global stability; Lyapunov functional

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SIR models With distributed delay and with discrete delay are studied. The global dynamics are fully determined for R(0) > 1 by using a Lyapunov functional. For each model it is shown that the endemic equilibrium is globally asymptotically stable whenever it exists. (C) 2008 Elsevier Ltd. All rights reserved.

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