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Global stability of an SIR epidemic model with constant infectious period. (English) Zbl 1136.92336
Summary: We derive and study an SIR epidemic model with constant infectious period which is incorporated as a time delay. Both trivial and endemic equilibria are found, and their stability is investigated. Using a Lyapunov functional approach, sufficient conditions for global stability of the endemic equilibrium are obtained.

34K20Stability theory of functional-differential equations
34K25Asymptotic theory of functional-differential equations
Full Text: DOI
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