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

Abstract

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.

Keywords:

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

AMS Subject Classifications:

• 60H10
• 93E15

Acknowledgements

The authors would like to thank the anonymous referee for his/her valuable comments on the first version of the manuscript which have led to an improvement in this revised version.

Disclosure statement

No potential conflict of interest was reported by the authors.