4.4 Article

Stability analysis of a stochastic delayed SIR epidemic model with general incidence rate

Journal

APPLICABLE ANALYSIS
Volume 97, Issue 12, Pages 2113-2121

Publisher

TAYLOR & FRANCIS LTD
DOI: 10.1080/00036811.2017.1359555

Keywords

Stochastic SIR epidemic model; time delay; mean square stability; stability in probability

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In this paper, a stochastic delayed epidemic model with a generalized incidence rate is proposed and discussed. The positivity of solutions is established. A linearized form of the model is given and the stability conditions of the endemic equilibrium are obtained by using the technique of Lyapunov functionals.

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